Rocket engine

Arocket engineuses storedrocket propellantsas thereaction massfor forming a high-speed propulsivejetof fluid, usually high-temperature gas.Rocketengines arereaction engines,producing thrust by ejecting mass rearward, in accordance withNewton's third law.Most rocket engines use thecombustionof reactive chemicals to supply the necessary energy, but non-combusting forms such ascold gas thrustersandnuclear thermal rocketsalso exist. Vehicles propelled by rocket engines are commonly used byballistic missiles(they normally usesolid fuel) androckets.Rocket vehicles carry their ownoxidiser,unlike most combustion engines, so rocket engines can be used in avacuumto propelspacecraftandballistic missiles.

Compared to other types of jet engine, rocket engines are the lightest and have the highest thrust, but are the least propellant-efficient (they have the lowestspecific impulse). The ideal exhaust ishydrogen,the lightest of all elements, but chemical rockets produce a mix of heavier species, reducing the exhaust velocity.

Rocket engines become more efficient at high speeds, due to theOberth effect.^[1]

Terminology

Here, "rocket" is used as an abbreviation for "rocket engine".

Thermal rocketsuse an inert propellant, heated by electricity (electrothermal propulsion) or a nuclear reactor (nuclear thermal rocket).

Chemical rocketsare powered byexothermic reduction-oxidationchemical reactions of the propellant:

Solid-fuel rockets(orsolid-propellant rocketsormotors) are chemical rockets which use propellant in asolid state.
Liquid-propellant rocketsuse one or more propellants in aliquid statefed from tanks.
Hybrid rocketsuse a solid propellant in the combustion chamber, to which a second liquid or gasoxidiseror propellant is added to permit combustion.
Monopropellant rocketsuse a single propellant decomposed by acatalyst.The most common monopropellants arehydrazineandhydrogen peroxide.

Principle of operation

Rocket engines produce thrust by the expulsion of an exhaustfluidthat has been accelerated to high speed through apropelling nozzle.The fluid is usually a gas created by high pressure (150-to-4,350-pound-per-square-inch (10 to 300 bar)) combustion of solid or liquidpropellants,consisting offuelandoxidisercomponents, within acombustion chamber.As the gases expand through the nozzle, they are accelerated to very high (supersonic) speed, and the reaction to this pushes the engine in the opposite direction. Combustion is most frequently used for practical rockets, as the laws ofthermodynamics(specificallyCarnot's theorem) dictate that high temperatures and pressures are desirable for the bestthermal efficiency.Nuclear thermal rocketsare capable of higher efficiencies, but currently haveenvironmental problemswhich preclude their routine use in the Earth's atmosphere andcislunar space.

Formodel rocketry,an available alternative to combustion is thewater rocketpressurized by compressed air,carbon dioxide,nitrogen,or any other readily available, inert gas.

Propellant

Rocket propellant is mass that is stored, usually in some form of tank, or within the combustion chamber itself, prior to being ejected from a rocket engine in the form of a fluid jet to produce thrust.

Chemical rocket propellants are the most commonly used. These undergo exothermic chemical reactions producing a hot gas jet for propulsion. Alternatively, a chemically inertreaction masscan be heated by a high-energy power source through a heat exchanger in lieu of a combustion chamber.

Solid rocketpropellants are prepared in a mixture of fuel and oxidising components calledgrain,and the propellant storage casing effectively becomes the combustion chamber.

Injection

Liquid-fuelled rocketsforce separate fuel and oxidiser components into the combustion chamber, where they mix and burn.Hybrid rocketengines use a combination of solid and liquid or gaseous propellants. Both liquid and hybrid rockets useinjectorsto introduce the propellant into the chamber. These are often an array of simplejets– holes through which the propellant escapes under pressure; but sometimes may be more complex spray nozzles. When two or more propellants are injected, the jets usually deliberately cause the propellants to collide as this breaks up the flow into smaller droplets that burn more easily.

Combustion chamber

For chemical rockets the combustion chamber is typically cylindrical, andflame holders,used to hold a part of the combustion in a slower-flowing portion of the combustion chamber, are not needed. The dimensions of the cylinder are such that the propellant is able to combust thoroughly; differentrocket propellantsrequire different combustion chamber sizes for this to occur.

This leads to a number called $L^{*}$ ,thecharacteristic length:

L^{*}={\frac {V_{c}}{A_{t}}}

where:

$V_{c}$ is the volume of the chamber
$A_{t}$ is the area of the throat of the nozzle.

L* is typically in the range of 64–152 centimetres (25–60 in).

The temperatures and pressures typically reached in a rocket combustion chamber in order to achieve practicalthermal efficiencyare extreme compared to anon-afterburning airbreathing jet engine.No atmospheric nitrogen is present to dilute and cool the combustion, so the propellant mixture can reach truestoichiometricratios. This, in combination with the high pressures, means that the rate of heat conduction through the walls is very high.

In order for fuel and oxidiser to flow into the chamber, the pressure of the propellants entering the combustion chamber must exceed the pressure inside the combustion chamber itself. This may be accomplished by a variety of design approaches includingturbopumpsor, in simpler engines, viasufficient tank pressureto advance fluid flow. Tank pressure may be maintained by several means, including a high-pressureheliumpressurization system common to many large rocket engines or, in some newer rocket systems, by a bleed-off of high-pressure gas from the engine cycle toautogenously pressurizethe propellant tanks^[2]^[3]For example, the self-pressurization gas system of theSpaceX Starshipis a critical part of SpaceX strategy to reduce launch vehicle fluids from five in their legacy Falcon 9 vehicle family to just two in Starship, eliminating not only the helium tank pressurant but allhypergolic propellantsas well asnitrogenfor cold-gasreaction-control thrusters.^[4]

Nozzle

The hot gas produced in the combustion chamber is permitted to escape through an opening (the "throat" ), and then through a diverging expansion section. When sufficient pressure is provided to the nozzle (about 2.5–3 times ambient pressure), the nozzlechokesand a supersonic jet is formed, dramatically accelerating the gas, converting most of the thermal energy into kinetic energy. Exhaust speeds vary, depending on theexpansion ratiothe nozzle is designed for, but exhaust speeds as high as ten times thespeed of soundin air at sea level are not uncommon. About half of the rocket engine's thrust comes from the unbalanced pressures inside the combustion chamber, and the rest comes from the pressures acting against the inside of the nozzle (see diagram). As the gas expands (adiabatically) the pressure against the nozzle's walls forces the rocket engine in one direction while accelerating the gas in the other.

The most commonly used nozzle is thede Laval nozzle,a fixed geometry nozzle with a high expansion-ratio. The large bell- or cone-shaped nozzle extension beyond the throat gives the rocket engine its characteristic shape.

The exitstatic pressureof the exhaust jet depends on the chamber pressure and the ratio of exit to throat area of the nozzle. As exit pressure varies from the ambient (atmospheric) pressure, a choked nozzle is said to be

under-expanded(exit pressure greater than ambient),
perfectly expanded(exit pressure equals ambient),
over-expanded(exit pressure less than ambient;shock diamondsform outside the nozzle), or
grossly over-expanded(ashock waveforms inside the nozzle extension).

In practice, perfect expansion is only achievable with a variable–exit-area nozzle (since ambient pressure decreases as altitude increases), and is not possible above a certain altitude as ambient pressure approaches zero. If the nozzle is not perfectly expanded, then loss of efficiency occurs. Grossly over-expanded nozzles lose less efficiency, but can cause mechanical problems with the nozzle. Fixed-area nozzles become progressively more under-expanded as they gain altitude. Almost all de Laval nozzles will be momentarily grossly over-expanded during startup in an atmosphere.^[5]

Nozzle efficiency is affected by operation in the atmosphere because atmospheric pressure changes with altitude; but due to the supersonic speeds of the gas exiting from a rocket engine, the pressure of the jet may be either below or above ambient, and equilibrium between the two is not reached at all altitudes (see diagram).

Back pressure and optimal expansion

For optimal performance, the pressure of the gas at the end of the nozzle should just equal the ambient pressure: if the exhaust's pressure is lower than the ambient pressure, then the vehicle will be slowed by the difference in pressure between the top of the engine and the exit; on the other hand, if the exhaust's pressure is higher, then exhaust pressure that could have been converted into thrust is not converted, and energy is wasted.

To maintain this ideal of equality between the exhaust's exit pressure and the ambient pressure, the diameter of the nozzle would need to increase with altitude, giving the pressure a longer nozzle to act on (and reducing the exit pressure and temperature). This increase is difficult to arrange in a lightweight fashion, although is routinely done with other forms of jet engines. In rocketry a lightweight compromise nozzle is generally used and some reduction in atmospheric performance occurs when used at other than the 'design altitude' or when throttled. To improve on this, various exotic nozzle designs such as theplug nozzle,stepped nozzles,theexpanding nozzleand theaerospikehave been proposed, each providing some way to adapt to changing ambient air pressure and each allowing the gas to expand further against the nozzle, giving extra thrust at higher altitudes.

When exhausting into a sufficiently low ambient pressure (vacuum) several issues arise. One is the sheer weight of the nozzle—beyond a certain point, for a particular vehicle, the extra weight of the nozzle outweighs any performance gained. Secondly, as the exhaust gases adiabatically expand within the nozzle they cool, and eventually some of the chemicals can freeze, producing 'snow' within the jet. This causes instabilities in the jet and must be avoided.

On ade Laval nozzle,exhaust gas flow detachment will occur in a grossly over-expanded nozzle. As the detachment point will not be uniform around the axis of the engine, a side force may be imparted to the engine. This side force may change over time and result in control problems with the launch vehicle.

Advancedaltitude-compensatingdesigns, such as theaerospikeorplug nozzle,attempt to minimize performance losses by adjusting to varying expansion ratio caused by changing altitude.

Propellant efficiency

For a rocket engine to be propellant efficient, it is important that the maximum pressures possible be created on the walls of the chamber and nozzle by a specific amount of propellant; as this is the source of the thrust. This can be achieved by all of:

heating the propellant to as high a temperature as possible (using a high energy fuel, containing hydrogen and carbon and sometimes metals such asaluminium,or even using nuclear energy)
using a low specific density gas (as hydrogen rich as possible)
using propellants which are, or decompose to, simple molecules with few degrees of freedom to maximise translational velocity

Since all of these things minimise the mass of the propellant used, and since pressure is proportional to the mass of propellant present to be accelerated as it pushes on the engine, and since fromNewton's third lawthe pressure that acts on the engine also reciprocally acts on the propellant, it turns out that for any given engine, the speed that the propellant leaves the chamber is unaffected by the chamber pressure (although the thrust is proportional). However, speed is significantly affected by all three of the above factors and the exhaust speed is an excellent measure of the engine propellant efficiency. This is termedexhaust velocity,and after allowance is made for factors that can reduce it, theeffective exhaust velocityis one of the most important parameters of a rocket engine (although weight, cost, ease of manufacture etc. are usually also very important).

For aerodynamic reasons the flow goes sonic ( "chokes") at the narrowest part of the nozzle, the 'throat'. Since thespeed of soundin gases increases with the square root of temperature, the use of hot exhaust gas greatly improves performance. By comparison, at room temperature the speed of sound in air is about 340 m/s while the speed of sound in the hot gas of a rocket engine can be over 1700 m/s; much of this performance is due to the higher temperature, but additionally rocket propellants are chosen to be of low molecular mass, and this also gives a higher velocity compared to air.

Expansion in the rocket nozzle then further multiplies the speed, typically between 1.5 and 2 times, giving a highlycollimatedhypersonic exhaust jet. The speed increase of a rocket nozzle is mostly determined by its area expansion ratio—the ratio of the area of the exit to the area of the throat, but detailed properties of the gas are also important. Larger ratio nozzles are more massive but are able to extract more heat from the combustion gases, increasing the exhaust velocity.

Thrust vectoring

Vehicles typically require the overall thrust to change direction over the length of the burn. A number of different ways to achieve this have been flown:

The entire engine is mounted on ahingeorgimbaland any propellant feeds reach the engine via low pressure flexible pipes or rotary couplings.
Just the combustion chamber and nozzle is gimballed, the pumps are fixed, and high pressure feeds attach to the engine.
Multiple engines (often canted at slight angles) are deployed but throttled to give the overall vector that is required, giving only a very small penalty.
High-temperature vanes protrude into the exhaust and can be tilted to deflect the jet.

Overall performance

Rocket technology can combine very high thrust (meganewtons), very high exhaust speeds (around 10 times the speed of sound in air at sea level) and very high thrust/weight ratios (>100)simultaneouslyas well as being able to operate outside the atmosphere, and while permitting the use of low pressure and hence lightweight tanks and structure.

Rockets can be further optimised to even more extreme performance along one or more of these axes at the expense of the others.

Specific impulse

I_spin vacuum of various rockets
Rocket	Propellants	I_sp,vacuum (s)
Space Shuttle liquid engines	LOX/LH₂	453^[6]
Space Shuttle solid motors	APCP	268^[6]
Space Shuttle OMS	NTO/MMH	313^[6]
Saturn V stage 1	LOX/RP-1	304^[6]

The most important metric for the efficiency of a rocket engine isimpulseper unit ofpropellant,this is calledspecific impulse(usually written $I_{sp}$ ). This is either measured as a speed (theeffective exhaust velocity $v_{e}$ in metres/second or ft/s) or as a time (seconds). For example, if an engine producing 100 pounds of thrust runs for 320 seconds and burns 100 pounds of propellant, then the specific impulse is 320 seconds. The higher the specific impulse, the less propellant is required to provide the desired impulse.

The specific impulse that can be achieved is primarily a function of the propellant mix (and ultimately would limit the specific impulse), but practical limits on chamber pressures and the nozzle expansion ratios reduce the performance that can be achieved.

Net thrust

Below is an approximate equation for calculating the net thrust of a rocket engine:^[7]

F_{n}={\dot {m}}\;v_{e}={\dot {m}}\;v_{e-opt}+A_{e}(p_{e}-p_{amb})

where:
${\dot {m}}$	= exhaust gas mass flow
$v_{e}$	= effective exhaust velocity (sometimes otherwise denoted ascin publications)
$v_{e-opt}$	= effective jet velocity when Pamb = Pe
$A_{e}$	= flow area at nozzle exit plane (or the plane where the jet leaves the nozzle if separated flow)
$p_{e}$	= static pressure at nozzle exit plane
$p_{amb}$	= ambient (or atmospheric) pressure

Since, unlike a jet engine, a conventional rocket motor lacks an air intake, there is no 'ram drag' to deduct from the gross thrust. Consequently, the net thrust of a rocket motor is equal to the gross thrust (apart from static back pressure).

The ${\dot {m}}\;v_{e-opt}\,$ term represents the momentum thrust, which remains constant at a given throttle setting, whereas the $A_{e}(p_{e}-p_{amb})\,$ term represents the pressure thrust term. At full throttle, the net thrust of a rocket motor improves slightly with increasing altitude, because as atmospheric pressure decreases with altitude, the pressure thrust term increases. At the surface of the Earth the pressure thrust may be reduced by up to 30%, depending on the engine design. This reduction drops roughly exponentially to zero with increasing altitude.

Maximum efficiency for a rocket engine is achieved by maximising the momentum contribution of the equation without incurring penalties from over expanding the exhaust. This occurs when $p_{e}=p_{amb}$ .Since ambient pressure changes with altitude, most rocket engines spend very little time operating at peak efficiency.

Since specific impulse is force divided by the rate of mass flow, this equation means that the specific impulse varies with altitude.

Vacuum specific impulse, I_sp

Due to the specific impulse varying with pressure, a quantity that is easy to compare and calculate with is useful. Because rocketschokeat the throat, and because the supersonic exhaust prevents external pressure influences travelling upstream, it turns out that the pressure at the exit is ideally exactly proportional to the propellant flow ${\dot {m}}$ ,provided the mixture ratios and combustion efficiencies are maintained. It is thus quite usual to rearrange the above equation slightly:^[8]

F_{vac}=C_{f}\,{\dot {m}}\,c^{*}

and so define thevacuum Ispto be:

v_{evac}=C_{f}\,c^{*}\,

where:

c^{*}

= thecharacteristic velocityof the combustion chamber (dependent on propellants and combustion efficiency)

C_{f}

= the thrust coefficient constant of the nozzle (dependent on nozzle geometry, typically about 2)

And hence:

F_{n}={\dot {m}}\,v_{evac}-A_{e}\,p_{amb}

Throttling

Rockets can be throttled by controlling the propellant combustion rate ${\dot {m}}$ (usually measured in kg/s or lb/s). In liquid and hybrid rockets, the propellant flow entering the chamber is controlled using valves, insolid rocketsit is controlled by changing the area of propellant that is burning and this can be designed into the propellant grain (and hence cannot be controlled in real-time).

Rockets can usually be throttled down to an exit pressure of about one-third of ambient pressure^[9](often limited by flow separation in nozzles) and up to a maximum limit determined only by the mechanical strength of the engine.

In practice, the degree to which rockets can be throttled varies greatly, but most rockets can be throttled by a factor of 2 without great difficulty;^[9]the typical limitation is combustion stability, as for example, injectors need a minimum pressure to avoid triggering damaging oscillations (chugging or combustion instabilities); but injectors can be optimised and tested for wider ranges.

For example, some more recent liquid-propellant engine designs that have been optimised for greater throttling capability (BE-3,Raptor) can be throttled to as low as 18–20 per cent of rated thrust.^[10]^[3]

Solid rockets can be throttled by using shaped grains that will vary their surface area over the course of the burn.^[9]

Energy efficiency

Rocket engine nozzles are surprisingly efficientheat enginesfor generating a high speed jet, as a consequence of the high combustion temperature and highcompression ratio.Rocket nozzles give an excellent approximation toadiabatic expansionwhich is a reversible process, and hence they give efficiencies which are very close to that of theCarnot cycle.Given the temperatures reached, over 60% efficiency can be achieved with chemical rockets.

For avehicleemploying a rocket engine the energetic efficiency is very good if the vehicle speed approaches or somewhat exceeds the exhaust velocity (relative to launch); but at low speeds theenergy efficiencygoes to 0% at zero speed (as with alljet propulsion). SeeRocket energy efficiencyfor more details.

Thrust-to-weight ratio

Rockets, of all the jet engines, indeed of essentially all engines, have the highest thrust-to-weight ratio. This is especially true for liquid-fuelled rocket engines.

This high performance is due to the small volume ofpressure vesselsthat make up the engine—the pumps, pipes and combustion chambers involved. The lack of inlet duct and the use of dense liquid propellant allows the pressurisation system to be small and lightweight, whereas duct engines have to deal with air which has around three orders of magnitude lower density.

Jetorrocket engine	Mass		Thrust		Thrust-to- weight ratio
Jetorrocket engine	(kg)	(lb)	(kN)	(lbf)	Thrust-to- weight ratio
RD-0410nuclear rocket engine^[11]^[12]	2,000	4,400	35.2	7,900	1.8
J58jet engine (SR-71 Blackbird)^[13]^[14]	2,722	6,001	150	34,000	5.2
Rolls-Royce/Snecma Olympus 593 turbojetwith reheat (Concorde)^[15]	3,175	7,000	169.2	38,000	5.4
Pratt & Whitney F119^[16]	1,800	3,900	91	20,500	7.95
RD-0750rocket engine, three-propellant mode^[17]	4,621	10,188	1,413	318,000	31.2
RD-0146rocket engine^[18]	260	570	98	22,000	38.4
Rocketdyne RS-25rocket engine^[19]	3,177	7,004	2,278	512,000	73.1
RD-180rocket engine^[20]	5,393	11,890	4,152	933,000	78.5
RD-170rocket engine	9,750	21,500	7,887	1,773,000	82.5
F-1(Saturn Vfirst stage)^[21]	8,391	18,499	7,740.5	1,740,100	94.1
NK-33rocket engine^[22]	1,222	2,694	1,638	368,000	136.7
Merlin 1Drocket engine, full-thrust version	467	1,030	825	185,000	180.1

Of the liquid fuels used, density is lowest forliquid hydrogen.Although hydrogen/oxygen burning has the highestspecific impulseof any in-use chemical rocket, hydrogen's very low density (about one-fourteenth that of water) requires larger and heavier turbopumps and pipework, which decreases the engine's thrust-to-weight ratio (for example the RS-25) compared to those that do not use hydrogen (NK-33).

Mechanical issues

Rocket combustion chambers are normally operated at fairly high pressure, typically 10–200bar (1–20MPa, 150–3,000psi). When operated within significant atmospheric pressure, higher combustion chamber pressures give better performance by permitting a larger and more efficient nozzle to be fitted without it being grossly overexpanded.

However, these high pressures cause the outermost part of the chamber to be under very largehoop stresses– rocket engines arepressure vessels.

Worse, due to the high temperatures created in rocket engines the materials used tend to have a significantly lowered working tensile strength.

In addition, significant temperature gradients are set up in the walls of the chamber and nozzle, these cause differential expansion of the inner liner that createinternal stresses.

Hard starts

Ahard startrefers to an over-pressure condition during start of a rocket engine at ignition. In the worst cases, this takes the form of an unconfined explosion, resulting in the damage or destruction of the engine.

Rocket fuels,hypergolicor otherwise, must be introduced into the combustion chamber at the correct rate in order to have a controlled rate of production of hot gas.^[23]A "hard start" indicates that the quantity of combustible propellant that entered the combustion chamber prior to ignition was too large. The result is an excessive spike of pressure, possibly leading to structural failure or explosion.

Avoiding hard starts involves careful timing of the ignition relative to valve timing or varying the mixture ratio so as to limit the maximum pressure that can occur or simply ensuring an adequate ignition source is present well prior to propellant entering the chamber.

Explosions from hard starts usually cannot happen with purely gaseous propellants, since the amount of the gas present in the chamber is limited by the injector area relative to the throat area, and for practical designs, propellant mass escapes too quickly to be an issue.

A famous example of a hard start was the explosion ofWernher von Braun's "1W" engine during a demonstration to GeneralWalter Dornbergeron December 21, 1932. Delayed ignition allowed the chamber to fill with alcohol and liquid oxygen, which exploded violently. Shrapnel was embedded in the walls, but nobody was hit.

Acoustic issues

The extreme vibration and acoustic environment inside a rocket motor commonly result in peak stresses well above mean values, especially in the presence oforgan pipe-like resonances and gas turbulence.^[24]

Combustion instabilities

The combustion may display undesired instabilities, of sudden or periodic nature. The pressure in the injection chamber may increase until the propellant flow through the injector plate decreases; a moment later the pressure drops and the flow increases, injecting more propellant in the combustion chamber which burns a moment later, and again increases the chamber pressure, repeating the cycle. This may lead to high-amplitude pressure oscillations, often in ultrasonic range, which may damage the motor. Oscillations of ±200 psi at 25 kHz were the cause of failures of early versions of theTitan IImissile second stage engines. The other failure mode is adeflagration to detonation transition;the supersonicpressure waveformed in the combustion chamber may destroy the engine.^[25]

Combustion instability was also a problem duringAtlasdevelopment. The Rocketdyne engines used in the Atlas family were found to suffer from this effect in several static firing tests, and three missile launches exploded on the pad due to rough combustion in the booster engines. In most cases, it occurred while attempting to start the engines with a "dry start" method whereby the igniter mechanism would be activated prior to propellant injection. During the process of man-rating Atlas forProject Mercury,solving combustion instability was a high priority, and the final two Mercury flights sported an upgraded propulsion system with baffled injectors and a hypergolic igniter.

The problem affecting Atlas vehicles was mainly the so-called "racetrack" phenomenon, where burning propellant would swirl around in a circle at faster and faster speeds, eventually producing vibration strong enough to rupture the engine, leading to complete destruction of the rocket. It was eventually solved by adding several baffles around the injector face to break up swirling propellant.

More significantly, combustion instability was a problem with the SaturnF-1 engines.Some of the early units tested exploded during static firing, which led to the addition of injector baffles.

In the Soviet space program, combustion instability also proved a problem on some rocket engines, including the RD-107 engine used in the R-7 family and the RD-216 used in the R-14 family, and several failures of these vehicles occurred before the problem was solved. Soviet engineering and manufacturing processes never satisfactorily resolved combustion instability in larger RP-1/LOX engines, so the RD-171 engine used to power the Zenit family still used four smaller thrust chambers fed by a common engine mechanism.

The combustion instabilities can be provoked by remains of cleaning solvents in the engine (e.g. the first attempted launch of a Titan II in 1962), reflected shock wave, initial instability after ignition, explosion near the nozzle that reflects into the combustion chamber, and many more factors. In stable engine designs the oscillations are quickly suppressed; in unstable designs they persist for prolonged periods. Oscillation suppressors are commonly used.

Three different types of combustion instabilities occur:

Chugging

A low frequency oscillation in chamber pressure below 200Hertz.Usually it is caused by pressure variations in feed lines due to variations in acceleration of the vehicle, when rocket engines are building up thrust, are shut down or are being throttled.^[26]^: 261^[5]^: 146

Chugging can cause a worsening feedback loop, as cyclic variation in thrust causes longitudinal vibrations to travel up the rocket, causing the fuel lines to vibrate, which in turn do not deliver propellant smoothly into the engines. This phenomenon is known as "pogo oscillations"or" pogo ", named after thepogo stick.^[26]^: 258

In the worst case, this may result in damage to the payload or vehicle. Chugging can be minimised by using several methods, such as installing energy-absorbing devices on feed lines.^[26]^: 259Chugging may cause Screeching.^[5]^: 146

Buzzing

An intermediate frequency oscillation in chamber pressure between 200 and 1000Hertz.Usually caused due to insufficient pressure drop across the injectors.^[26]^: 261It generally is mostly annoying, rather than being damaging.

Buzzing is known to have adverse effects on engine performance and reliability, primarily as it causesmaterial fatigue.^[5]^: 147In extreme cases combustion can end up being forced backwards through the injectors – this can cause explosions with monopropellants.^{[citation needed]}Buzzing may cause Screeching.^[26]^: 261

Screeching

A high frequency oscillation in chamber pressure above 1000Hertz,sometimes called screaming or squealing. The most immediately damaging, and the hardest to control. It is due to acoustics within the combustion chamber that often couples to the chemical combustion processes that are the primary drivers of the energy release, and can lead to unstable resonant "screeching" that commonly leads to catastrophic failure due to thinning of the insulating thermal boundary layer. Acoustic oscillations can be excited by thermal processes, such as the flow of hot air through a pipe or combustion in a chamber. Specifically, standing acoustic waves inside a chamber can be intensified if combustion occurs more intensely in regions where the pressure of the acoustic wave is maximal.^[27]^[28]^[29]^[26]

Such effects are very difficult to predict analytically during the design process, and have usually been addressed by expensive, time-consuming and extensive testing, combined with trial and error remedial correction measures.

Screeching is often dealt with by detailed changes to injectors, changes in the propellant chemistry, vaporising the propellant before injection or use ofHelmholtz damperswithin the combustion chambers to change the resonant modes of the chamber.^{[citation needed]}

Testing for the possibility of screeching is sometimes done by exploding small explosive charges outside the combustion chamber with a tube set tangentially to the combustion chamber near the injectors to determine the engine'simpulse responseand then evaluating the time response of the chamber pressure- a fast recovery indicates a stable system.

Exhaust noise

For all but the very smallest sizes, rocket exhaust compared to other engines is generally very noisy. As thehypersonicexhaust mixes with the ambient air,shock wavesare formed. TheSpace Shuttlegenerated over 200dB(A)of noise around its base. To reduce this, and the risk of payload damage or injury to the crew atop the stack, themobile launcher platformwas fitted with aSound Suppression Systemthat sprayed 1.1 million litres (290,000 US gal) of water around the base of the rocket in 41 seconds at launch time. Using this system kept sound levels within the payload bay to 142 dB.^[30]

Thesound intensityfrom the shock waves generated depends on the size of the rocket and on the exhaust velocity. Such shock waves seem to account for the characteristic crackling and popping sounds produced by large rocket engines when heard live. These noise peaks typically overload microphones and audio electronics, and so are generally weakened or entirely absent in recorded or broadcast audio reproductions. For large rockets at close range, the acoustic effects could actually kill.^[31]

More worryingly for space agencies, such sound levels can also damage the launch structure, or worse, be reflected back at the comparatively delicate rocket above. This is why so much water is typically used at launches. The water spray changes the acoustic qualities of the air and reduces or deflects the sound energy away from the rocket.

Generally speaking, noise is most intense when a rocket is close to the ground, since the noise from the engines radiates up away from the jet, as well as reflecting off the ground. Also, when the vehicle is moving slowly, little of the chemical energy input to the engine can go into increasing the kinetic energy of the rocket (since useful powerPtransmitted to the vehicle is $P=F*V$ for thrustFand speedV). Then the largest portion of the energy is dissipated in the exhaust's interaction with the ambient air, producing noise. This noise can be reduced somewhat by flame trenches with roofs, by water injection around the jet and by deflecting the jet at an angle.

Rocket engine development

United States

The development of the US rocket engine industry has been shaped by a complex web of relationships between government agencies, private companies, research institutions, and other stakeholders.

Since the establishment of the firstliquid-propellant rocketengine company (Reaction Motors, Inc.) in 1941 and the first government laboratory (GALCIT) devoted to the subject, the US liquid-propellant rocket engine (LPRE) industry has undergone significant changes. At least 14 US companies have been involved in the design, development, manufacture, testing, and flight support operations of various types of rocket engines from 1940 to 2000. In contrast to other countries like Russia, China, or India, where only government or pseudogovernment organisations engage in this business, the US government relies heavily on private industry. These commercial companies are essential to the continued viability of the United States and its form of governance, as they compete with one another to provide cutting-edge rocket engines that meet the needs of the government, the military, and the private sector. In the United States the company that develops the LPRE usually is awarded the production contract.

Generally, the need or demand for a new rocket engine comes from government agencies such asNASAor theDepartment of Defense.Once the need is identified, government agencies may issuerequests for proposals(RFPs) to solicit proposals from private companies and research institutions. Private companies and research institutions, in turn, may invest in research and development (R&D) activities to develop new rocket engine technologies that meet the needs and specifications outlined in the RFPs.

Alongside private companies, universities, independent research institutes and government laboratories also play a critical role in the research and development of rocket engines.

Universities provide graduate and undergraduate education to train qualified technical personnel, and their research programs often contribute to the advancement of rocket engine technologies. More than 25 universities in the US have taught or are currently teaching courses related to Liquid Propellant Rocket Engines (LPREs), and their graduate and undergraduate education programs are considered one of their most important contributions. Universities such as Princeton University, Cornell University, Purdue University, Pennsylvania State University, University of Alabama, the Navy's Post-Graduate School, or the California Institute of Technology have conducted excellent R&D work on topics related to the rocket engine industry.^[32]One of the earliest examples of the contribution of universities to the rocket engine industry is the work of the GALCIT in 1941. They demonstrated the first jet-assisted takeoff (JATO) rockets to the Army, leading to the establishment of the Jet Propulsion Laboratory.

However the transfer of knowledge from research professors and their projects to the rocket engine industry has been a mixed experience. While some notable professors and relevant research projects have positively influenced industry practices and understanding of LPREs, the connection between university research and commercial companies has been inconsistent and weak.^[32]Universities were not always aware of the industry's specific needs, and engineers and designers in the industry had limited knowledge of university research. As a result, many university research programs remained relatively unknown to industry decision-makers. Furthermore, in the last few decades, certain university research projects, while interesting to professors, were not useful to the industry due to a lack of communication or relevance to industry needs.^[32]

Government laboratories, including the Rocket Propulsion Laboratory (now part of Air Force Research Laboratory), Arnold Engineering Test Center, NASA Marshall Space Flight Center, Jet Propulsion Laboratory, Stennis Space Center, White Sands Proving Grounds, and NASA John H. Glenn Research Center, have played crucial roles in the development of liquid rocket propulsion engines (LPREs).^[32]They have conducted unbiased testing, guided work at US and some non-US contractors, performed research and development, and provided essential testing facilities including hover test facilities and simulated altitude test facilities and resources. Initially, private companies or foundations financed smaller test facilities, but since the 1950s, the U.S. government has funded larger test facilities at government laboratories. This approach reduced costs for the government by not building similar facilities at contractors' plants but increased complexity and expenses for contractors. Nonetheless, government laboratories have solidified their significance and contributed to LPRE advancements.

LPRE programs have been subject to several cancellations in the United States, even after spending millions of dollars on their development. For example, the M-l LOX/LH2 LPRE, Titan I, and the RS-2200 aerospike, as well as several JATO units and large uncooled thrust chambers were cancelled. The cancellations of these programs were not related to the specific LPRE's performance or any issues with it. Instead, they were due to the cancellation of the vehicle programs the engine was intended for or budget cuts imposed by the government.

USSR

Russia and the former Soviet Union was and still is the world's foremost nation in developing and building rocket engines. From 1950 to 1998, their organisations developed, built, and put into operation a larger number and a larger variety of liquid propellant rocket engine (LPRE) designs than any other country. Approximately 500 different LPREs have been developed before 2003. For comparison the United States has developed slightly more than 300 (before 2003). The Soviets also had the most rocket-propelled flight vehicles. They had more liquid propellantballistic missilesand morespace launch vehiclesderived or converted from these decommissioned ballistic missiles than any other nation. As of the end of 1998, the Russians (or earlier the Soviet Union) had successfully launched 2573satelliteswith LPREs or almost 65% of the world total of 3973. All of these vehicle flights were made possible by the timely development of suitable high-performance reliable LPREs.^[32]

Institutions and actors

Unlike many other countries where the development and production of rocket engines were consolidated within a single organisation, the Soviet Union took a different approach, they established numerous specialiseddesign bureaus(DB) which would compete for development contracts. These design bureaus, or "konstruktorskoye buro" (KB) in Russian were state run organisations which were primarily responsible for carrying outresearch, developmentandprototypingof advanced technologies usually related tomilitary hardware,such asturbojet engines,aircraft components,missiles,orspace launch vehicles.

Design Bureauswhich specialised in rocket engines often possessed the necessary personnel, facilities, and equipment to conduct laboratory tests, flow tests, and ground testing of experimental rocket engines.Some even had specialised facilities for testing very large engines, conductingstatic firingsof engines installed in vehicle stages, or simulating altitude conditions during engine tests. In certain cases, engine testing, certification andquality controlwere outsourced to other organisations and locations with more suitable test facilities. Many DBs also had housing complexes, gymnasiums, and medical facilities intended to support the needs of their employees and their families.

The Soviet Union's LPRE development effort saw significant growth during the 1960s and reached its peak in the 1970s. This era coincided with theCold Warbetween the Soviet Union and the United States, characterised by intense competition in spaceflight achievements. Between 14 and 17 Design Bureaus and research institutes were actively involved in developing LPREs during this period. These organisations received relatively steady support and funding due to high military andspaceflight priorities,which facilitated the continuous development of new engine concepts and manufacturing methods.

Once a mission with a new vehicle (missile or spacecraft) was established it was passed on to a design bureau whose role was to oversee the development of the entire rocket. If none of the previously developed rocket engines met the needs of the mission, a new rocket engine with specific requirements would be contracted to another DB specialised in LPRE development (oftentimes each DB had expertise in specific types of LPREs with different applications, propellants, or engine sizes). This meant that the development or design study of a rocket engine was always aimed at a specific application which entailed set requirements.

When it comes to which DBs were awarded contracts for the development of new rocket engines either a single design bureau would be chosen or several design bureaus would be given the same contract which sometimes led to fierce competition between DBs.

When only one DB was picked for the development, it was often the result of the relationship between a vehicle or system's chief designer and the chief designer of a rocket engine specialised DB. If the vehicle's chief designer was happy with previous work done by a certain design bureau it was not unusual to see continued reliance on that LPRE bureau for that class of engines. For example, all but one of the LPREs for submarine-launched missiles were developed by the same design bureau for the same vehicle development prime contractor.

However, when two parallel engine development programs were supported in order to select the superior one for a specific application, several qualified rocket engine models were never used. This luxury of choice was not commonly available in other nations. However, the use of design bureaus also led to certain issues, including program cancellations and duplication. Some major programs were cancelled, resulting in the disposal or storage of previously developed engines.

One notable example of duplication and cancellation was the development of engines for the R-9A ballistic missile. Two sets of engines were supported, but ultimately only one set was selected, leaving several perfectly functional engines unused. Similarly, for the ambitious heavy N-l space launch vehicle intended for lunar and planetary missions, the Soviet Union developed and put into production at least two engines for each of the six stages. Additionally, they developed alternate engines for a more advanced N-l vehicle. However, the program faced multiple flight failures, and with the United States' successfulMoon landing,the program was ultimately cancelled, leaving the Soviet Union with a surplus of newly qualified engines without a clear purpose.

These examples demonstrate the complex dynamics and challenges faced by the Soviet Union in managing the development and production of rocket engines through Design Bureaus.

Accidents

The development of rocket engines in the Soviet Union was marked by significant achievements, but it also carried ethical considerations due to numerous accidents and fatalities. From aScience and Technology Studiespoint of view, the ethical implications of these incidents shed light on the complex relationship between technology, human factors, and the prioritisation of scientific advancement over safety.

The Soviet Union encountered a series of tragic accidents and mishaps in the development and operation of rocket engines. Notably, the USSR holds the unfortunate distinction of having experienced more injuries and deaths resulting from liquid propellant rocket engine (LPRE) accidents than any other country. These incidents brought into question the ethical considerations surrounding the development, testing, and operational use of rocket engines.

One of the most notable disasters occurred in 1960 when theR-16ballistic missile suffered a catastrophic accident on the launchpad at theTyuratamlaunch facility. This incident resulted in the deaths of 124 engineers and military personnel, including Marshal M.I. Nedelin, a former deputyminister of defence.The explosion occurred after the second-stage rocket engine suddenly ignited, causing the fully loaded missile to disintegrate. The explosion resulted from the ignition and explosion of the mixedhypergolic propellants,consisting ofnitric acidwith additives andUDMH(unsymmetrical dimethylhydrazine).

While the immediate cause of the 1960 accident was attributed to a lack of protective circuits in the missile control unit, the ethical considerations surrounding LPRE accidents in the USSR extend beyond specific technical failures. The secrecy surrounding these accidents, which remained undisclosed for approximately three decades, raises concerns about transparency, accountability, and the protection of human life.

The decision to keep fatal LPRE accidents hidden from the public eye reflects a broader ethical dilemma. The Soviet government, driven by the pursuit of scientific and technological superiority during the Cold War, sought to maintain an image of invincibility and conceal the failures that accompanied their advancements. This prioritisation of national prestige over the well-being and safety of workers raises questions about the ethical responsibility of the state and the organisations involved.

Testing

Rocket engines are usually statically tested at atest facilitybefore being put into production. For high altitude engines, either a shorter nozzle must be used, or the rocket must be tested in a large vacuum chamber.

Safety

Rocketvehicles have a reputation for unreliability and danger; especially catastrophic failures. Contrary to this reputation, carefully designed rockets can be made arbitrarily reliable.^{[citation needed]}In military use, rockets are not unreliable. However, one of the main non-military uses of rockets is for orbital launch. In this application, the premium has typically been placed on minimum weight, and it is difficult to achieve high reliability and low weight simultaneously. In addition, if the number of flights launched is low, there is a very high chance of a design, operations or manufacturing error causing destruction of the vehicle.^{[citation needed]}

Saturn family (1961–1975)

TheRocketdyne H-1engine, used in a cluster of eight in the first stage of theSaturn IandSaturn IB launch vehicles,had no catastrophic failures in 152 engine-flights. ThePratt and Whitney RL10engine, used in a cluster of six in the Saturn I second stage, had no catastrophic failures in 36 engine-flights.^{[notes 1]}TheRocketdyne F-1engine, used in a cluster of five in the first stage of theSaturn V,had no failures in 65 engine-flights. TheRocketdyne J-2engine, used in a cluster of five in the Saturn V second stage, and singly in the Saturn IB second stage and Saturn V third stage, had no catastrophic failures in 86 engine-flights.^{[notes 2]}

Space Shuttle (1981–2011)

TheSpace Shuttle Solid Rocket Booster,used in pairs, causedone notable catastrophic failurein 270 engine-flights.

TheRS-25,used in a cluster of three, flew in 46 refurbished engine units. These made a total of 405 engine-flights with no catastrophic in-flight failures. A single in-flightRS-25engine failure occurred duringSpace ShuttleChallenger'sSTS-51-Fmission.^[33]This failure had no effect on mission objectives or duration.^[34]

Cooling

For efficiency reasons, higher temperatures are desirable, but materials lose their strength if the temperature becomes too high. Rockets run with combustion temperatures that can reach 6,000 °F (3,300 °C; 3,600 K).^[5]^: 98

Most other jet engines have gas turbines in the hot exhaust. Due to their larger surface area, they are harder to cool and hence there is a need to run the combustion processes at much lower temperatures, losing efficiency. In addition,duct enginesuse air as an oxidant, which contains 78% largely unreactive nitrogen, which dilutes the reaction and lowers the temperatures.^[9]Rockets have none of these inherent combustion temperature limiters.

The temperatures reached by combustion in rocket engines often substantially exceed the melting points of the nozzle and combustion chamber materials (about 1,200 K forcopper). Most construction materials will also combust if exposed to high temperature oxidiser, which leads to a number of design challenges. The nozzle and combustion chamber walls must not be allowed to combust, melt, or vaporize (sometimes facetiously termed an "engine-rich exhaust" ).

Rockets that use common construction materials such as aluminium, steel, nickel or copper alloys must employ cooling systems to limit the temperatures that engine structures experience.Regenerative cooling,where the propellant is passed through tubes around the combustion chamber or nozzle, and other techniques, such as film cooling, are employed to give longer nozzle and chamber life. These techniques ensure that a gaseous thermalboundary layertouching the material is kept below the temperature which would cause the material to catastrophically fail.

Material exceptions that can sustain rocket combustion temperatures to a certain degree arecarbon–carbon materialsandrhenium,although both are subject to oxidation under certain conditions. Otherrefractoryalloys, such as alumina,molybdenum,tantalumortungstenhave been tried, but were given up on due to various issues.^[35]

Materials technology, combined with the engine design, is a limiting factor in chemical rockets.

In rockets, theheat fluxesthat can pass through the wall are among the highest in engineering; fluxes are generally in the range of 0.8–80 MW/m²(0.5-50BTU/in²-sec).^[5]^: 98The strongest heat fluxes are found at the throat, which often sees twice that found in the associated chamber and nozzle. This is due to the combination of high speeds (which gives a very thin boundary layer), and although lower than the chamber, the high temperatures seen there. (See§ Nozzleabove for temperatures in nozzle).

In rockets the coolant methods include:^[5]^: 98–99

Ablative:The combustion chamber inside walls are lined with a material that traps heat and carries it away with the exhaust as it vaporizes.
Radiative cooling:The engine is made of one or severalrefractorymaterials, which take heat flux until its outer thrust chamber wall glows red- or white-hot, radiating the heat away.
Dump cooling: A cryogenic propellant, usuallyhydrogen,is passed around the nozzle and dumped. This cooling method has various issues, such as wasting propellant. It is only used rarely.
Regenerative cooling:The fuel (and possibly, the oxidiser) of aliquid rocket engineis routed around the nozzle before being injected into the combustion chamber or preburner. This is the most widely applied method of rocket engine cooling.
Film cooling: The engine is designed with rows of multiple orifices lining the inside wall through which additional propellant is injected, cooling the chamber wall as it evaporates. This method is often used in cases where the heat fluxes are especially high, likely in combination withregenerative cooling.A more efficient subtype of film cooling istranspiration cooling,in which propellant passes through aporousinner combustion chamber wall and transpirates. So far, this method has not seen usage due to various issues with this concept.

Rocket engines may also use several cooling methods. Examples:

Regeneratively and film cooled combustion chamber and nozzle:V-2Rocket Engine^[36]
Regeneratively cooled combustion chamber with a film cooled nozzle extension:Rocketdyne F-1 Engine^[37]
Regeneratively cooled combustion chamber with an ablatively cooled nozzle extension: TheLR-91rocket engine^[38]
Ablatively and film cooled combustion chamber with a radiatively cooled nozzle extension:Lunar module descent engine(LMDE),Service propulsion system engine(SPS)^[39]
Radiatively and film cooled combustion chamber with a radiatively cooled nozzle extension:Deep spacestorable propellant thrusters^[35]

In all cases, another effect that aids in cooling the rocket engine chamber wall is a thin layer of combustion gases (aboundary layer) that is notably cooler than the combustion temperature. Disruption of the boundary layer may occur during cooling failures or combustion instabilities, and wall failure typically occurs soon after.

With regenerative cooling a second boundary layer is found in the coolant channels around the chamber. This boundary layer thickness needs to be as small as possible, since the boundary layer acts as an insulator between the wall and the coolant. This may be achieved by making the coolantvelocityin the channels as high as possible.^[5]^{: 105–106}

Liquid-fuelled engines are often runfuel-rich,which lowers combustion temperatures. This reduces heat loads on the engine and allows lower cost materials and a simplified cooling system. This can alsoincreaseperformance by lowering the average molecular weight of the exhaust and increasing the efficiency with which combustion heat is converted to kinetic exhaust energy.

Chemistry

Rocket propellantsrequire a high energy per unit mass (specific energy), which must be balanced against the tendency of highly energetic propellants to spontaneously explode. Assuming that the chemical potential energy of the propellants can be safely stored, the combustion process results in a great deal of heat being released. A significant fraction of this heat is transferred to kinetic energy in the engine nozzle, propelling the rocket forward in combination with the mass of combustion products released.

Ideally all the reaction energy appears as kinetic energy of the exhaust gases, as exhaust velocity is the single most important performance parameter of an engine. However, real exhaust species aremolecules,which typically have translation, vibrational, androtational modeswith which to dissipate energy. Of these, only translation can do useful work to the vehicle, and while energy does transfer between modes this process occurs on a timescale far in excess of the time required for the exhaust to leave the nozzle.

The morechemical bondsan exhaust molecule has, the more rotational and vibrational modes it will have. Consequently, it is generally desirable for the exhaust species to be as simple as possible, with a diatomic molecule composed of light, abundant atoms such as H₂being ideal in practical terms. However, in the case of a chemical rocket, hydrogen is a reactant andreducing agent,not a product. Anoxidizing agent,most typically oxygen or an oxygen-rich species, must be introduced into the combustion process, adding mass and chemical bonds to the exhaust species.

An additional advantage of light molecules is that they may be accelerated to high velocity at temperatures that can be contained by currently available materials - the high gas temperatures in rocket engines pose serious problems for the engineering of survivable motors.

Liquidhydrogen(LH2) andoxygen(LOX, or LO2), are the most effective propellants in terms of exhaust velocity that have been widely used to date, though a few exotic combinations involving boron or liquid ozone are potentially somewhat better in theory if various practical problems could be solved.^[40]

When computing the specific reaction energy of a given propellant combination, the entire mass of the propellants (both fuel and oxidiser) must be included. The exception is in the case of air-breathing engines, which use atmospheric oxygen and consequently have to carry less mass for a given energy output. Fuels for car orturbojet engineshave a much better effective energy output per unit mass of propellant that must be carried, but are similar per unit mass of fuel.

Computer programs that predict the performance of propellants in rocket engines are available.^[41]^[42]^[43]

Ignition

With liquid and hybrid rockets, immediate ignition of the propellants as they first enter the combustion chamber is essential.

With liquid propellants (but not gaseous), failure to ignite within milliseconds usually causes too much liquid propellant to be inside the chamber, and if/when ignition occurs the amount of hot gas created can exceed the maximum design pressure of the chamber, causing a catastrophic failure of the pressure vessel. This is sometimes called ahard startor arapid unscheduled disassembly(RUD).^[44]

Ignition can be achieved by a number of different methods; a pyrotechnic charge can be used, a plasma torch can be used,^{[citation needed]}or electric spark ignition^[4]may be employed. Some fuel/oxidiser combinations ignite on contact (hypergolic), and non-hypergolic fuels can be "chemically ignited" by priming the fuel lines with hypergolic propellants (popular in Russian engines).

Gaseous propellants generally will not causehard starts,with rockets the total injector area is less than the throat thus the chamber pressure tends to ambient prior to ignition and high pressures cannot form even if the entire chamber is full of flammable gas at ignition.

Solid propellants are usually ignited with one-shot pyrotechnic devices and combustion usually proceeds through total consumption of the propellants.^[9]

Once ignited, rocket chambers are self-sustaining and igniters are not needed and combustion usually proceeds through total consumption of the propellants. Indeed, chambers often spontaneously reignite if they are restarted after being shut down for a few seconds. Unless designed for re-ignition, when cooled, many rockets cannot be restarted without at least minor maintenance, such as replacement of the pyrotechnic igniter or even refueling of the propellants.^[9]

Jet physics

Rocket jets vary depending on the rocket engine, design altitude, altitude, thrust and other factors.

Carbon-rich exhausts from kerosene-based fuels such asRP-1are often orange in colour due to theblack-body radiationof the unburnt particles, in addition to the blueSwan bands.Peroxideoxidiser-based rockets and hydrogen rocket jets contain largelysteamand are nearly invisible to the naked eye but shine brightly in theultravioletandinfraredranges. Jets fromsolid-propellant rocketscan be highly visible, as the propellant frequently contains metals such as elemental aluminium which burns with an orange-white flame and adds energy to the combustion process. Rocket engines which burn liquid hydrogen and oxygen will exhibit a nearly transparent exhaust, due to it being mostlysuperheated steam(water vapour), plus some unburned hydrogen.

The nozzle is usually over-expanded at sea level, and the exhaust can exhibit visibleshock diamondsthrough aschlieren effectcaused by theincandescenceof the exhaust gas.

The shape of the jet varies for a fixed-area nozzle as the expansion ratio varies with altitude: at high altitude all rockets are grossly under-expanded, and a quite small percentage of exhaust gases actually end up expanding forwards.

Types of rocket engines

Physically powered

Type	Description	Advantages	Disadvantages
Water rocket	Partially filled pressurised carbonated drinks container with tail and nose weighting	Very simple to build	Altitude typically limited to a few hundred feet or so (world record is 830 meters, or 2,723 feet)
Cold gas thruster	A non-combusting form, used forvernier thrusters	Non-contaminating exhaust	Extremely low performance

Chemically powered

Type	Description	Advantages	Disadvantages
Solid-propellant rocket	Ignitable, self-sustaining solid fuel/oxidiser mixture ( "grain" ) with central hole and nozzle	Simple, often nomoving parts,reasonably good mass fraction, reasonableI_sp.A thrust schedule can be designed into the grain.	Throttling, burn termination, and reignition require special designs. Handling issues from ignitable mixture. Lower performance than liquid rockets. If grain cracks it can block nozzle with disastrous results. Grain cracks burn and widen during burn. Refueling harder than simply filling tanks. Cannot be turned off after ignition; will fire until all solid fuel is depleted.
Hybrid-propellant rocket	Separate oxidiser/fuel; typically the oxidiser is liquid and kept in a tank and the fuel is solid.	Quite simple, solid fuel is essentially inert without oxidiser, safer; cracks do not escalate, throttleable and easy to switch off.	Some oxidisers are monopropellants, can explode in own right; mechanical failure of solid propellant can block nozzle (very rare with rubberised propellant), central hole widens over burn and negatively affects mixture ratio.
Monopropellant rocket	Propellant (such as hydrazine, hydrogen peroxide or nitrous oxide) flows over a catalyst and exothermically decomposes; hot gases are emitted through nozzle.	Simple in concept, throttleable, low temperatures in combustion chamber	Catalysts can be easily contaminated, monopropellants can detonate if contaminated or provoked,I_spis perhaps 1/3 of best liquids
Bipropellant rocket	Two fluid (typically liquid) propellants are introduced through injectors into combustion chamber and burnt.	Up to ~99% efficient combustion with excellent mixture control, throttleable, can be used with turbopumps which permits incredibly lightweight tanks, can be safe with extreme care	Pumps needed for high performance are expensive to design, huge thermal fluxes across combustion chamber wall can impact reuse, failure modes include major explosions, a lot of plumbing is needed.
Gas-gas rocket	A bipropellant thruster using gas propellant for both the oxidiser and fuel	Higher-performance than cold gas thrusters	Lower performance than liquid-based engines
Dual mode propulsion rocket	Rocket takes off as a bipropellant rocket, then turns to using just one propellant as a monopropellant.	Simplicity and ease of control	Lower performance than bipropellants
Tripropellant rocket	Three different propellants (usually hydrogen, hydrocarbon, and liquid oxygen) are introduced into a combustion chamber in variable mixture ratios, or multiple engines are used with fixed propellant mixture ratios and throttled or shut down	Reduces take-off weight, since hydrogen is lighter; combines good thrust to weight with high averageI_sp,improves payload for launching from Earth by a sizeable percentage	Similar issues to bipropellant, but with more plumbing, more research and development
Air-augmented rocket	Essentially a ramjet where intake air is compressed and burnt with the exhaust from a rocket	Mach 0 to Mach 4.5+ (can also run exoatmospheric), good efficiency at Mach 2 to 4	Similar efficiency to rockets at low speed or exoatmospheric, inlet difficulties, a relatively undeveloped and unexplored type, cooling difficulties, very noisy, thrust/weight ratio is similar to ramjets.
Turborocket	A combined cycle turbojet/rocket where an additional oxidiser such as oxygen is added to the airstream to increase maximum altitude	Very close to existing designs, operates in very high altitude, wide range of altitude and airspeed	Atmospheric airspeed limited to same range as turbojet engine, carrying oxidiser likeLOXcan be dangerous. Much heavier than simple rockets.
Precooled jet engine/LACE(combined cycle with rocket)	Intake air is chilled to very low temperatures at inlet before passing through a ramjet or turbojet engine. Can be combined with a rocket engine for orbital insertion.	Easily tested on ground. High thrust/weight ratios are possible (~14) together with good fuel efficiency over a wide range of airspeeds, mach 0–5.5+; this combination of efficiencies may permit launching to orbit, single stage, or very rapid intercontinental travel.	Exists only at the lab prototyping stage. Examples includeRB545,SABRE,ATREX

Electrically powered

Type	Description	Advantages	Disadvantages
Resistojet rocket(electric heating)	Energy is imparted to a usually inert fluid serving as reaction mass viaJoule heatingof a heating element. May also be used to impart extra energy to a monopropellant.	Efficient where electrical power is at a lower premium than mass. HigherI_spthan monopropellant alone, about 40% higher.	Requires a lot of power, hence typically yields low thrust.
Arcjet rocket(chemical burning aided by electrical discharge)	Identical to resistojet except the heating element is replaced with an electrical arc, eliminating the physical requirements of the heating element.	1,600 secondsI_sp	Very low thrust and high power, performance is similar toion drive.
Variable specific impulse magnetoplasma rocket	Microwave heated plasma with magnetic throat/nozzle	VariableI_spfrom 1,000 seconds to 10,000 seconds	Similar thrust/weight ratio with ion drives (worse), thermal issues, as with ion drives very high power requirements for significant thrust, really needs advanced nuclear reactors, never flown, requires low temperatures for superconductors to work
Pulsed plasma thruster(electric arc heating; emits plasma)	Plasma is used to erode a solid propellant	HighI_sp,can be pulsed on and off for attitude control	Low energetic efficiency
Ion propulsion system	High voltages at ground and plus sides	Powered by battery	Low thrust, needs high voltage

Thermal

Preheated

Type	Description	Advantages	Disadvantages
Hot water rocket	Hot water is stored in a tank at high temperature / pressure and turns to steam in nozzle	Simple, fairly safe	Low overall performance due to heavy tank;I_spunder 200 seconds

Solar thermal

Thesolar thermal rocketwould make use of solar power to directly heatreaction mass,and therefore does not require an electrical generator as most other forms of solar-powered propulsion do. A solar thermal rocket only has to carry the means of capturing solar energy, such asconcentratorsandmirrors.The heated propellant is fed through a conventional rocket nozzle to produce thrust. The engine thrust is directly related to the surface area of the solar collector and to the local intensity of the solar radiation and inversely proportional to theI_sp.

Type	Description	Advantages	Disadvantages
Solar thermal rocket	Propellant is heated by solar collector	Simple design. Using hydrogen propellant, 900 seconds ofI_spis comparable to nuclear thermal rocket, without the problems and complexity of controlling a fission reaction.^{[citation needed]}Ability toproductively usewaste gaseoushydrogen—an inevitable byproduct of long-termliquid hydrogenstorage in theradiative heatenvironment of space—for bothorbital stationkeepingandattitude control.^[45]	Only useful in space, as thrust is fairly low, but hydrogen has not been traditionally thought to be easily stored in space,^[45]otherwise moderate/lowI_spif higher–molecular-mass propellants are used.

Beamed thermal

Type	Description	Advantages	Disadvantages
Light-beam-powered rocket	Propellant is heated by light beam (often laser) aimed at vehicle from a distance, either directly or indirectly via heat exchanger	Simple in principle, in principle very high exhaust speeds can be achieved	~1 MW of power per kg of payload is needed to achieve orbit, relatively high accelerations, lasers are blocked by clouds, fog, reflected laser light may be dangerous, pretty much needs hydrogen monopropellant for good performance which needs heavy tankage, some designs are limited to ~600 seconds due to reemission of light since propellant/heat exchanger gets white hot
Microwave-beam-powered rocket	Propellant is heated by microwave beam aimed at vehicle from a distance	I_spis comparable to Nuclear Thermal rocket combined with T/W comparable to conventional rocket. While LH₂propellant offers the highest I_spand rocket payload fraction, ammonia or methane are economically superior for earth-to-orbit rockets due to their particular combination of high density and I_sp.SSTOoperation is possible with these propellants even for small rockets, so there are no location, trajectory and shock constraints added by the rocket staging process. Microwaves are 10-100× cheaper in $/watt than lasers and have all-weather operation at frequencies below 10 GHz.	0.3–3MW of power per kg of payload is needed to achieve orbit depending on the propellant,^[46]and this incurs infrastructure cost for the beam director plus related R&D costs. Concepts operating in the millimeter-wave region have to contend with weather availability and high altitude beam director sites as well as effective transmitter diameters measuring 30–300 meters to propel a vehicle to LEO. Concepts operating in X-band or below must have effective transmitter diameters measured in kilometers to achieve a fine enough beam to follow a vehicle to LEO. The transmitters are too large to fit on mobile platforms and so microwave-powered rockets are constrained to launch near fixed beam director sites.

Nuclear thermal

Type	Description	Advantages	Disadvantages
Radioisotope rocket/ "Poodle thruster"(radioactive decay energy)	Heat from radioactive decay is used to heat hydrogen	About 700–800 seconds, almost no moving parts	Low thrust/weight ratio.
Nuclear thermal rocket(nuclear fission energy)	Propellant (typically, hydrogen) is passed through a nuclear reactor to heat to high temperature	I_spcan be high, perhaps 900 seconds or more, above unity thrust/weight ratio with some designs	Maximum temperature is limited by materials technology, some radioactive particles can be present in exhaust in some designs, nuclear reactor shielding is heavy, unlikely to be permitted from surface of the Earth, thrust/weight ratio is not high.

Nuclear

Nuclear propulsionincludes a wide variety ofpropulsionmethods that use some form ofnuclear reactionas their primary power source. Various types of nuclear propulsion have been proposed, and some of them tested, for spacecraft applications:

Type	Description	Advantages	Disadvantages
Gas core reactor rocket(nuclear fission energy)	Nuclear reaction using a gaseous state fission reactor in intimate contact with propellant	Very hot propellant, not limited by keeping reactor solid,I_spbetween 1,500 and 3,000 seconds but with very high thrust	Difficulties in heating propellant without losing fissionables in exhaust, massive thermal issues particularly for nozzle/throat region, exhaust almost inherently highly radioactive. Nuclear lightbulb variants can contain fissionables, but cutI_spin half.
Fission-fragment rocket(nuclear fission energy)	Fission products are directly exhausted to give thrust.		Theoretical only at this point.
Fission sail(nuclear fission energy)	A sail material is coated with fissionable material on one side.	No moving parts, works in deep space	Theoretical only at this point.
Nuclear salt-water rocket(nuclear fission energy)	Nuclear salts are held in solution, caused to react at nozzle	Very highI_sp,very high thrust	Thermal issues in nozzle, propellant could be unstable, highly radioactive exhaust. Theoretical only at this point.
Nuclear pulse propulsion(exploding fission/fusion bombs)	Shaped nuclear bombs are detonated behind vehicle and blast is caught by a 'pusher plate'	Very highI_sp,very high thrust/weight ratio, no show stoppers are known for this technology.	Never been tested, pusher plate maythrow off fragmentsdue to shock, minimum size for nuclear bombs is still pretty big, expensive at small scales, nuclear treaty issues, fallout when used below Earth's magnetosphere.
Antimatter catalyzed nuclear pulse propulsion(fission and/or fusion energy)	Nuclear pulse propulsion with antimatter assist for smaller bombs	Smaller sized vehicle might be possible	Containment of antimatter, production of antimatter in macroscopic quantities is not currently feasible. Theoretical only at this point.
Fusion rocket(nuclear fusion energy)	Fusion is used to heat propellant	Very high exhaust velocity	Largely beyond current state of the art.
Antimatter rocket(annihilation energy)	Antimatter annihilation heats propellant	Extremely energetic, very high theoretical exhaust velocity	Problems with antimatter production and handling; energy losses inneutrinos,gamma rays,muons;thermal issues. Theoretical only at this point.

History of rocket engines

According to the writings of the RomanAulus Gellius,the earliest known example ofjet propulsionwas in c. 400 BC, when aGreek PythagoreannamedArchytas,propelled a wooden bird along wires using steam.^[47]^[48]However, it was not powerful enough to take off under its own thrust.

Theaeolipiledescribed in the first century BC, often known asHero's engine,consisted of a pair ofsteam rocketnozzles mounted on abearing.It was created almost two millennia before theIndustrial Revolutionbut the principles behind it were not well understood, and it was not developed into a practical power source.

The availability ofblack powderto propel projectiles was a precursor to the development of the first solid rocket. Ninth CenturyChinese Taoist alchemistsdiscovered black powder in a search for theelixir of life;this accidental discovery led tofire arrowswhich were the first rocket engines to leave the ground.

It is stated^{[by whom?]}that "the reactive forces of incendiaries were probably not applied to the propulsion of projectiles prior to the 13th century".^{[citation needed]}A turning point in rocket technology emerged with a short manuscript entitledLiber Ignium ad Comburendos Hostes(abbreviated asThe Book of Fires). The manuscript is composed of recipes for creating incendiary weapons from the mid-eighth to the end of the thirteenth centuries—two of which are rockets. The first recipe calls for one part of colophonium and sulfur added to six parts of saltpeter (potassium nitrate) dissolved inlaureloil, then inserted into hollow wood and lit to "fly away suddenly to whatever place you wish and burn up everything". The second recipe combines one pound of sulfur, two pounds of charcoal, and six pounds of saltpeter—all finely powdered on a marble slab. This powder mixture is packed firmly into a long and narrow case. The introduction of saltpeter into pyrotechnic mixtures connected the shift from hurledGreek fireinto self-propelled rocketry.^[49]

Articles and books on the subject of rocketry appeared increasingly from the fifteenth through seventeenth centuries. In the sixteenth century, German military engineer Conrad Haas (1509–1576) wrote a manuscript which introduced the construction of multi-staged rockets.^[50]

Rocket engines were also put in use byTippu Sultan,the king ofMysore.These usually consisted of a tube of soft hammered iron about 8 in (20 cm) long and1+1⁄2–3 in (3.8–7.6 cm) diameter, closed at one end, packed with black powder propellant and strapped to a shaft of bamboo about 4 ft (120 cm) long. A rocket carrying about one pound of powder could travel almost 1,000 yards (910 m). These 'rockets', fitted with swords, would travel several meters in the air before coming down with sword edges facing the enemy. These were used very effectively against the British empire.

Modern rocketry

Slow development of this technology continued up to the later 19th century, when RussianKonstantin Tsiolkovskyfirst wrote aboutliquid-fuelled rocket engines.He was the first to develop theTsiolkovsky rocket equation,though it was not published widely for some years.

The modern solid- and liquid-fuelled engines became realities early in the 20th century, thanks to the American physicistRobert Goddard.Goddard was the first to use aDe Laval nozzleon a solid-propellant (gunpowder) rocket engine, doubling the thrust and increasing the efficiency by a factor of about twenty-five. This was the birth of the modern rocket engine. He calculated from his independently derived rocket equation that a reasonably sized rocket, using solid fuel, could place a one-pound payload on the Moon.

The era of liquid-fuel rocket engines

Goddard began to use liquid propellants in 1921, and in 1926 became the first to launch a liquid-fuelled rocket. Goddard pioneered the use of the De Laval nozzle, lightweight propellant tanks, small light turbopumps, thrust vectoring, the smoothly-throttled liquid fuel engine, regenerative cooling, and curtain cooling.^[9]^{: 247–266}

During the late 1930s, German scientists, such asWernher von BraunandHellmuth Walter,investigated installing liquid-fuelled rockets in military aircraft (Heinkel He 112,He 111,He 176andMesserschmitt Me 163).^[51]

The turbopump was employed by German scientists in World War II. Until then cooling the nozzle had been problematic, and theA4ballistic missile used dilute alcohol for the fuel, which reduced the combustion temperature sufficiently.

Staged combustion(Замкнутая схема) was first proposed byAlexey Isaevin 1949. The first staged combustion engine was the S1.5400 used in the Soviet planetary rocket, designed by Melnikov, a former assistant to Isaev.^[9]About the same time (1959),Nikolai Kuznetsovbegan work on the closed cycle engineNK-9for Korolev's orbital ICBM, GR-1. Kuznetsov later evolved that design into theNK-15andNK-33engines for the unsuccessful LunarN1 rocket.

In the West, the first laboratory staged-combustion test engine was built in Germany in 1963, byLudwig Boelkow.

Liquid hydrogen engines were first successfully developed in America: theRL-10engine first flew in 1962. Its successor, theRocketdyne J-2,was used in theApollo program'sSaturn Vrocket to send humans to the Moon. The high specific impulse and low density of liquid hydrogen lowered the upper stage mass and the overall size and cost of the vehicle.

The record for most engines on one rocket flight is 44, set by NASA in 2016 on aBlack Brant.^[52]

Notes

^The RL10has,however, experienced occasional failures (some of them catastrophic) in its other use cases, as the engine for the much-flownCentaurandDCSSupper stages.
^The J-2 had three premature in-flight shutdowns (two second-stage engine failures onApollo 6and one onApollo 13), and one failure to restart in orbit (the third-stage engine of Apollo 6). But these failures did not result in vehicle loss or mission abort (although the failure of Apollo 6's third-stage engine to restartwouldhave forced a mission abort had it occurred on a crewed lunar mission).

References

^Hermann Oberth (1970)."Ways to spaceflight".Translation of the German language original "Wege zur Raumschiffahrt," (1920). Tunis, Tunisia: Agence Tunisienne de Public-Relations.
^ Bergin, Chris (2016-09-27)."SpaceX reveals ITS Mars game changer via colonization plan".NASASpaceFlight.Retrieved2016-09-27.
^^a ^bRichardson, Derek (2016-09-27)."Elon Musk Shows Off Interplanetary Transport System".Spaceflight Insider. Archived fromthe originalon 2016-10-01.Retrieved2016-10-20.
^^a ^b Belluscio, Alejandro G. (2016-10-03)."ITS Propulsion – The evolution of the SpaceX Raptor engine".NASASpaceFlight.Retrieved2016-10-03.
^^a ^b ^c ^d ^e ^f ^g ^hHuzel, Dexter K.; Huang, David H. (1 January 1971).NASA SP-125, Design of Liquid Propellant Rocket Engines, Second Edition.NASA. Archived fromthe original(PDF)on 24 March 2017.Retrieved7 July2017.
^^a ^b ^c ^dBraeunig, Robert A. (2008)."Rocket Propellants".Rocket & Space Technology.
^George P. Sutton & Oscar Biblarz (2010).Rocket Propulsion Elements(8th ed.). Wiley Interscience.ISBN 9780470080245.See Equation 2-14.
^George P. Sutton & Oscar Biblarz (2010).Rocket Propulsion Elements(8th ed.). Wiley Interscience.ISBN 9780470080245.See Equation 3-33.
^^a ^b ^c ^d ^e ^f ^g ^hSutton, George P. (2005).History of Liquid Propellant Rocket Engines.Reston, Virginia: American Institute of Aeronautics and Astronautics.
^ Foust, Jeff (2015-04-07)."Blue Origin Completes BE-3 Engine as BE-4 Work Continues".Space News.Retrieved2016-10-20.
^Wade, Mark."RD-0410".Encyclopedia Astronautica.Retrieved2009-09-25.
^РД0410. Ядерный ракетный двигатель. Перспективные космические аппараты[RD0410. Nuclear Rocket Engine. Advanced launch vehicles]. KBKhA -Chemical Automatics Design Bureau.Archived fromthe originalon 30 November 2010.
^"Aircraft: Lockheed SR-71A Blackbird".Archived fromthe originalon 2012-07-29.Retrieved2010-04-16.
^"Factsheets: Pratt & Whitney J58 Turbojet".National Museum of the United States Air Force. Archived fromthe originalon 2015-04-04.Retrieved2010-04-15.
^"Rolls-Royce SNECMA Olympus - Jane's Transport News".Archived fromthe originalon 2010-08-06.Retrieved2009-09-25.With afterburner, reverser and nozzle... 3,175 kg... Afterburner... 169.2 kN
^Military Jet Engine Acquisition,RAND, 2002.
^"Конструкторское бюро химавтоматики" - Научно-исследовательский комплекс / РД0750.[«Konstruktorskoe Buro Khimavtomatiky» - Scientific-Research Complex / RD0750.]. KBKhA -Chemical Automatics Design Bureau.Archived fromthe originalon 26 July 2011.
^Wade, Mark."RD-0146".Encyclopedia Astronautica.Retrieved2009-09-25.
^SSME
^"RD-180".Retrieved2009-09-25.
^Encyclopedia Astronautica: F-1
^Astronautix NK-33 entry
^"Introducing Propellant into a Combustion Chamber"(PDF).IDC Online.RetrievedFebruary 16,2024.
^Sauser, Brittany."What's the Deal with Rocket Vibrations?".MIT Technology Review.Retrieved2018-04-27.
^David K. Stumpf (2000).Titian II: A History of a Cold War Missile Program.University of Arkansas Press.ISBN 1-55728-601-9.
^^a ^b ^c ^d ^e ^f G.P. Sutton & D.M. Ross (1975).Rocket Propulsion Elements: An Introduction to the Engineering of Rockets(4th ed.). Wiley Interscience.ISBN 0-471-83836-5.See Chapter 8, Section 6 and especially Section 7, re combustion instability.
^ John W. Strutt (1896).The Theory of Sound – Volume 2(2nd ed.). Macmillan (reprinted by Dover Publications in 1945). p. 226.According to Lord Rayleigh's criterion for thermoacoustic processes, "If heat be given to the air at the moment of greatest condensation, or be taken from it at the moment of greatest rarefaction, the vibration is encouraged. On the other hand, if heat be given at the moment of greatest rarefaction, or abstracted at the moment of greatest condensation, the vibration is discouraged."
^Lord Rayleigh (1878) "The explanation of certain acoustical phenomena" (namely, theRijke tube)Nature,vol. 18, pages 319–321.
^E. C. Fernandes and M. V. Heitor, "Unsteady flames and the Rayleigh criterion" inF. Culick; M. V. Heitor; J. H. Whitelaw, eds. (1996).Unsteady Combustion(1st ed.). Kluwer Academic Publishers. p. 4.ISBN 0-7923-3888-X.
^"Sound Suppression System".NASA. Archived fromthe originalon 2020-08-10.Retrieved2017-02-09.
^R.C. Potter and M.J. Crocker (1966).NASA CR-566, Acoustic Prediction Methods For Rocket Engines, Including The Effects Of Clustered Engines And Deflected FlowFrom website of the National Aeronautics and Space Administration Langley (NASA Langley)
^^a ^b ^c ^d ^eSutton, George (2006).History of Liquid Propellant Rocket Engines.AIAA.ISBN 978-1-56347-649-5.
^"Space Shuttle Main Engine"(PDF).Pratt & Whitney Rocketdyne. 2005. Archived fromthe original(PDF)on February 8, 2012.RetrievedNovember 23,2011.
^Wayne Hale& various (January 17, 2012)."An SSME-related request".NASASpaceflight.RetrievedJanuary 17,2012.
^^a ^bGeorge P. Sutton & Oscar Biblarz (2010).Rocket Propulsion Elements(8th ed.). Wiley Interscience. p. 308.ISBN 9780470080245.
^"Raketenmotor der A4 (V2)-Rakete"(in German).Retrieved19 September2022.An additional coolant line takes alcohol to fine holes in the inner chamber wall. The alcohol flows alongside the wall, creating a thin, evaporating film for additional cooling.
^McCutcheon, Kimble D. (3 August 2022)."U.S. Manned Rocket Propulsion Evolution Part 8.12: Rocketdyne F-1 Engine Description".Retrieved19 September2022.
^McCutcheon, Kimble D. (3 August 2022)."U.S. Manned Rocket Propulsion Evolution Part 6: The Titan Missile".Retrieved19 September2022.
^Bartlett, W.; Kirkland, Z. D.; Polifka, R. W.; Smithson, J. C.; Spencer, G. L. (7 February 1966).Apollo spacecraft liquid primary propulsion systems(PDF).Houston, TX: NASA, Lyndon B. Johnson Space Center. p. 8. Archived from the original on 23 August 2022.Retrieved10 September2022.{{cite book}}:CS1 maint: bot: original URL status unknown (link)
^Newsgroup correspondence,1998–99
^Complex chemical equilibrium and rocket performance calculations,Cpropep-Web
^Tool for Rocket Propulsion Analysis,RPA
^NASA Computer program Chemical Equilibrium with Applications,CEA
^ Svitak, Amy (2012-11-26)."Falcon 9 RUD?".Aviation Week.Archived fromthe originalon 2014-03-21.Retrieved2014-03-21.
^^a ^bZegler, Frank; Bernard Kutter (2010-09-02)."Evolving to a Depot-Based Space Transportation Architecture"(PDF).AIAA SPACE 2010 Conference & Exposition.AIAA. Archived fromthe original(PDF)on 2011-07-17.Retrieved2011-01-25.See page 3.
^Parkin, Kevin."Microwave Thermal Rockets".Retrieved8 December2016.
^Leofranc Holford-Strevens (2005).Aulus Gellius: An Antonine Author and his Achievement(Revised paperback ed.). Oxford University Press.ISBN 0-19-928980-8.
^Chisholm, Hugh,ed. (1911)."Archytas".Encyclopædia Britannica.Vol. 2 (11th ed.). Cambridge University Press. p. 446.
^Von Braun, Wernher; Ordway III, Frederick I. (1976).The Rockets' Red Glare.Garden City, New York: Anchor Press/ Doubleday. p.5.ISBN 978-0-385-07847-4.
^Von Braun, Wernher; Ordway III, Frederick I. (1976).The Rockets' Red Glare.Garden City, New York: Anchor Press/ Doubleday. p.11.ISBN 978-0-385-07847-4.
^Lutz Warsitz (2009).The First Jet Pilot – The Story of German Test Pilot Erich Warsitz.Pen and Sword Ltd.ISBN 978-1-84415-818-8.Includes von Braun's and Hellmuth Walter's experiments with rocket aircraft.English edition.
^"NASA and Navy Set World Record for Most Engines in One Rocket Flight".Space.19 August 2016.

External links

[RL10-33] The RL10has,however, experienced occasional failures (some of them catastrophic) in its other use cases, as the engine for the much-flownCentaurandDCSSupper stages.

[J2fail-34] The J-2 had three premature in-flight shutdowns (two second-stage engine failures onApollo 6and one onApollo 13), and one failure to restart in orbit (the third-stage engine of Apollo 6). But these failures did not result in vehicle loss or mission abort (although the failure of Apollo 6's third-stage engine to restartwouldhave forced a mission abort had it occurred on a crewed lunar mission).

[ways-1] Hermann Oberth (1970)."Ways to spaceflight".Translation of the German language original "Wege zur Raumschiffahrt," (1920). Tunis, Tunisia: Agence Tunisienne de Public-Relations.

[nsf20160927-2] Bergin, Chris (2016-09-27)."SpaceX reveals ITS Mars game changer via colonization plan".NASASpaceFlight.Retrieved2016-09-27.

[sfi20160927-3] Richardson, Derek (2016-09-27)."Elon Musk Shows Off Interplanetary Transport System".Spaceflight Insider. Archived fromthe originalon 2016-10-01.Retrieved2016-10-20.

[nsf20161003-4] Belluscio, Alejandro G. (2016-10-03)."ITS Propulsion – The evolution of the SpaceX Raptor engine".NASASpaceFlight.Retrieved2016-10-03.

[HuzelAndHuang-5] ^^a ^b ^c ^d ^e ^f ^g ^hHuzel, Dexter K.; Huang, David H. (1 January 1971).NASA SP-125, Design of Liquid Propellant Rocket Engines, Second Edition.NASA. Archived fromthe original(PDF)on 24 March 2017.Retrieved7 July2017.

[spec_impulse-6] Braeunig, Robert A. (2008)."Rocket Propellants".Rocket & Space Technology.

[7] George P. Sutton & Oscar Biblarz (2010).Rocket Propulsion Elements(8th ed.). Wiley Interscience.ISBN 9780470080245.See Equation 2-14.

[8] George P. Sutton & Oscar Biblarz (2010).Rocket Propulsion Elements(8th ed.). Wiley Interscience.ISBN 9780470080245.See Equation 3-33.

[Sutton-9] ^^a ^b ^c ^d ^e ^f ^g ^hSutton, George P. (2005).History of Liquid Propellant Rocket Engines.Reston, Virginia: American Institute of Aeronautics and Astronautics.

[sn20150407-10] Foust, Jeff (2015-04-07)."Blue Origin Completes BE-3 Engine as BE-4 Work Continues".Space News.Retrieved2016-10-20.

[astronautix1-11] Wade, Mark."RD-0410".Encyclopedia Astronautica.Retrieved2009-09-25.

[KBKhA-RD0410-12] РД0410. Ядерный ракетный двигатель. Перспективные космические аппараты[RD0410. Nuclear Rocket Engine. Advanced launch vehicles]. KBKhA -Chemical Automatics Design Bureau.Archived fromthe originalon 30 November 2010.

[13] "Aircraft: Lockheed SR-71A Blackbird".Archived fromthe originalon 2012-07-29.Retrieved2010-04-16.

[14] "Factsheets: Pratt & Whitney J58 Turbojet".National Museum of the United States Air Force. Archived fromthe originalon 2015-04-04.Retrieved2010-04-15.

[15] "Rolls-Royce SNECMA Olympus - Jane's Transport News".Archived fromthe originalon 2010-08-06.Retrieved2009-09-25.With afterburner, reverser and nozzle... 3,175 kg... Afterburner... 169.2 kN

[16] Military Jet Engine Acquisition,RAND, 2002.

[KBKhA-RD0750-17] "Конструкторское бюро химавтоматики" - Научно-исследовательский комплекс / РД0750.[«Konstruktorskoe Buro Khimavtomatiky» - Scientific-Research Complex / RD0750.]. KBKhA -Chemical Automatics Design Bureau.Archived fromthe originalon 26 July 2011.

[astronautix2-18] Wade, Mark."RD-0146".Encyclopedia Astronautica.Retrieved2009-09-25.

[19] SSME

[20] "RD-180".Retrieved2009-09-25.

[21] Encyclopedia Astronautica: F-1

[NK33-22] Astronautix NK-33 entry

[23] "Introducing Propellant into a Combustion Chamber"(PDF).IDC Online.RetrievedFebruary 16,2024.

[24] Sauser, Brittany."What's the Deal with Rocket Vibrations?".MIT Technology Review.Retrieved2018-04-27.

[titan2-25] David K. Stumpf (2000).Titian II: A History of a Cold War Missile Program.University of Arkansas Press.ISBN 1-55728-601-9.

[sutton1975-26] G.P. Sutton & D.M. Ross (1975).Rocket Propulsion Elements: An Introduction to the Engineering of Rockets(4th ed.). Wiley Interscience.ISBN 0-471-83836-5.See Chapter 8, Section 6 and especially Section 7, re combustion instability.

[strutt1896-27] John W. Strutt (1896).The Theory of Sound – Volume 2(2nd ed.). Macmillan (reprinted by Dover Publications in 1945). p. 226.According to Lord Rayleigh's criterion for thermoacoustic processes, "If heat be given to the air at the moment of greatest condensation, or be taken from it at the moment of greatest rarefaction, the vibration is encouraged. On the other hand, if heat be given at the moment of greatest rarefaction, or abstracted at the moment of greatest condensation, the vibration is discouraged."

[28] Lord Rayleigh (1878) "The explanation of certain acoustical phenomena" (namely, theRijke tube)Nature,vol. 18, pages 319–321.

[29] E. C. Fernandes and M. V. Heitor, "Unsteady flames and the Rayleigh criterion" inF. Culick; M. V. Heitor; J. H. Whitelaw, eds. (1996).Unsteady Combustion(1st ed.). Kluwer Academic Publishers. p. 4.ISBN 0-7923-3888-X.

[30] "Sound Suppression System".NASA. Archived fromthe originalon 2020-08-10.Retrieved2017-02-09.

[CR566-31] R.C. Potter and M.J. Crocker (1966).NASA CR-566, Acoustic Prediction Methods For Rocket Engines, Including The Effects Of Clustered Engines And Deflected FlowFrom website of the National Aeronautics and Space Administration Langley (NASA Langley)

[:0-32] Sutton, George (2006).History of Liquid Propellant Rocket Engines.AIAA.ISBN 978-1-56347-649-5.

[P&WFS-35] "Space Shuttle Main Engine"(PDF).Pratt & Whitney Rocketdyne. 2005. Archived fromthe original(PDF)on February 8, 2012.RetrievedNovember 23,2011.

[Hale-36] Wayne Hale& various (January 17, 2012)."An SSME-related request".NASASpaceflight.RetrievedJanuary 17,2012.

[RocketProp8-37] George P. Sutton & Oscar Biblarz (2010).Rocket Propulsion Elements(8th ed.). Wiley Interscience. p. 308.ISBN 9780470080245.

[38] "Raketenmotor der A4 (V2)-Rakete"(in German).Retrieved19 September2022.An additional coolant line takes alcohol to fine holes in the inner chamber wall. The alcohol flows alongside the wall, creating a thin, evaporating film for additional cooling.

[39] McCutcheon, Kimble D. (3 August 2022)."U.S. Manned Rocket Propulsion Evolution Part 8.12: Rocketdyne F-1 Engine Description".Retrieved19 September2022.

[40] McCutcheon, Kimble D. (3 August 2022)."U.S. Manned Rocket Propulsion Evolution Part 6: The Titan Missile".Retrieved19 September2022.

[41] Bartlett, W.; Kirkland, Z. D.; Polifka, R. W.; Smithson, J. C.; Spencer, G. L. (7 February 1966).Apollo spacecraft liquid primary propulsion systems(PDF).Houston, TX: NASA, Lyndon B. Johnson Space Center. p. 8. Archived from the original on 23 August 2022.Retrieved10 September2022.{{cite book}}:CS1 maint: bot: original URL status unknown (link)

[42] Newsgroup correspondence,1998–99

[43] Complex chemical equilibrium and rocket performance calculations,Cpropep-Web

[44] Tool for Rocket Propulsion Analysis,RPA

[45] NASA Computer program Chemical Equilibrium with Applications,CEA

[aw20121126-46] Svitak, Amy (2012-11-26)."Falcon 9 RUD?".Aviation Week.Archived fromthe originalon 2014-03-21.Retrieved2014-03-21.

[aiaa20100902-47] Zegler, Frank; Bernard Kutter (2010-09-02)."Evolving to a Depot-Based Space Transportation Architecture"(PDF).AIAA SPACE 2010 Conference & Exposition.AIAA. Archived fromthe original(PDF)on 2011-07-17.Retrieved2011-01-25.See page 3.

[48] Parkin, Kevin."Microwave Thermal Rockets".Retrieved8 December2016.

[49] Leofranc Holford-Strevens (2005).Aulus Gellius: An Antonine Author and his Achievement(Revised paperback ed.). Oxford University Press.ISBN 0-19-928980-8.

[50] Chisholm, Hugh,ed. (1911)."Archytas".Encyclopædia Britannica.Vol. 2 (11th ed.). Cambridge University Press. p. 446.

[51] Von Braun, Wernher; Ordway III, Frederick I. (1976).The Rockets' Red Glare.Garden City, New York: Anchor Press/ Doubleday. p.5.ISBN 978-0-385-07847-4.

[52] Von Braun, Wernher; Ordway III, Frederick I. (1976).The Rockets' Red Glare.Garden City, New York: Anchor Press/ Doubleday. p.11.ISBN 978-0-385-07847-4.

[53] Lutz Warsitz (2009).The First Jet Pilot – The Story of German Test Pilot Erich Warsitz.Pen and Sword Ltd.ISBN 978-1-84415-818-8.Includes von Braun's and Hellmuth Walter's experiments with rocket aircraft.English edition.

[54] "NASA and Navy Set World Record for Most Engines in One Rocket Flight".Space.19 August 2016.

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v t e Heat engines
Carnot engine Fluidyne Gas turbine Hot air Jet Minto wheel Photo-Carnot engine Piston Pistonless (Rotary) Rijke tube Rocket Split-single Steam (reciprocating) Steam turbine Aeolipile Stirling Thermoacoustic Manson engine
Beale number West number
Timeline of heat engine technology
Thermodynamic cycle

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