Jet engine








A Pratt & Whitney F100 turbofan engine for the F-15 Eagle being tested in the hush house at Florida Air National Guard base. The tunnel behind the engine muffles noise and allows exhaust to escape.




U.S. Air Force F-15E Strike Eagles




Simulation of a low-bypass turbofan's airflow




Jet engine airflow during take-off (Germanwings Airbus A320)


A jet engine is a type of reaction engine discharging a fast-moving jet that generates thrust by jet propulsion. This broad definition includes airbreathing jet engines (turbojets, turbofans, ramjets, and pulse jets). In general, jet engines are combustion engines.


Common parlance applies the term jet engine more narrowly, referring to various airbreathing jet engine, a type of reaction engine. These typically feature a rotating air compressor powered by a turbine, with the leftover power providing thrust via a propelling nozzle – this process is known as the Brayton thermodynamic cycle. Jet aircraft use such engines for long-distance travel. Early jet aircraft used turbojet engines which were relatively inefficient for subsonic flight. Most modern subsonic jet aircraft use more complex high-bypass turbofan engines. They give higher speed and greater fuel efficiency than piston and propeller aeroengines over long distances. A few air-breathing engines made for high speed applications (ramjets and scramjets) use the ram effect of the vehicle's speed instead of a mechanical compressor.


The thrust of a typical jetliner engine went from 5,000 lbf (22,000 N) (de Havilland Ghost turbojet ) in the 1950s to 115,000 lbf (510,000 N) (General Electric GE90 turbofan) in the 1990s, and their reliability went from 40 in-flight shutdowns per 100,000 engine flight hours to less than 1 per 100,000 in the late 1990s. This, combined with greatly decreased fuel consumption, permitted routine transatlantic flight by twin-engined airliners by the turn of the century, where before a similar journey would have required multiple fuel stops.[1]




Contents






  • 1 History


  • 2 Uses


  • 3 Types of jet engine


    • 3.1 Airbreathing


      • 3.1.1 Turbine powered


        • 3.1.1.1 Turbojet


        • 3.1.1.2 Turbofan




      • 3.1.2 Ram compression


      • 3.1.3 Non-continuous combustion






  • 4 Other types of jet propulsion


    • 4.1 Rocket


    • 4.2 Hybrid


    • 4.3 Water jet




  • 5 General physical principles


    • 5.1 Propelling nozzle


    • 5.2 Thrust


    • 5.3 Energy efficiency relating to aircraft jet engines


    • 5.4 Consumption of fuel or propellant


    • 5.5 Thrust-to-weight ratio


    • 5.6 Comparison of types


    • 5.7 Altitude and speed


    • 5.8 Noise




  • 6 See also


  • 7 References


    • 7.1 Bibliography




  • 8 External links





History




Jet engines date back to the invention of the aeolipile before the first century AD. This device directed steam power through two nozzles to cause a sphere to spin rapidly on its axis. It was seen as a curiosity.


Jet propulsion only gained practical applications with the invention of the gunpowder-powered rocket by the Chinese in the 13th century as a type of firework, and gradually progressed to propel formidable weaponry. Jet propulsion technology then stalled for hundreds of years.


The earliest attempts at airbreathing jet engines were hybrid designs in which an external power source first compressed air, which was then mixed with fuel and burned for jet thrust. The Caproni Campini N.1, and the Japanese Tsu-11 engine intended to power Ohka kamikaze planes towards the end of World War II were unsuccessful.





Albert Fonó's ramjet-cannonball from 1915


Even before the start of World War II, engineers were beginning to realize that engines driving propellers were approaching limits due to issues related to propeller efficiency,[2] which declined as blade tips approached the speed of sound. If aircraft performance were to increase beyond such a barrier, a different propulsion mechanism was necessary. This was the motivation behind the development of the gas turbine engine, the commonest form of jet engine.


The key to a practical jet engine was the gas turbine, extracting power from the engine itself to drive the compressor. The gas turbine was not a new idea: the patent for a stationary turbine was granted to John Barber in England in 1791. The first gas turbine to successfully run self-sustaining was built in 1903 by Norwegian engineer Ægidius Elling.[3] Such engines did not reach manufacture due to issues of safety, reliability, weight and, especially, sustained operation.


The first patent for using a gas turbine to power an aircraft was filed in 1921 by Frenchman Maxime Guillaume.[4] His engine was an axial-flow turbojet, but was never constructed, as it would have required considerable advances over the state of the art in compressors. Alan Arnold Griffith published An Aerodynamic Theory of Turbine Design in 1926 leading to experimental work at the RAE.




The Whittle W.2/700 engine flew in the Gloster E.28/39, the first British aircraft to fly with a turbojet engine, and the Gloster Meteor


In 1928, RAF College Cranwell cadet Frank Whittle formally submitted his ideas for a turbojet to his superiors.[5] In October 1929 he developed his ideas further.[6] On 16 January 1930 in England, Whittle submitted his first patent (granted in 1932).[7] The patent showed a two-stage axial compressor feeding a single-sided centrifugal compressor. Practical axial compressors were made possible by ideas from A.A.Griffith in a seminal paper in 1926 ("An Aerodynamic Theory of Turbine Design"). Whittle would later concentrate on the simpler centrifugal compressor only. Whittle was unable to interest the government in his invention, and development continued at a slow pace.





Heinkel He 178, the world's first aircraft to fly purely on turbojet power


In 1935 Hans von Ohain started work on a similar design in Germany, both compressor and turbine being radial, on opposite sides of same disc, initially unaware of Whittle's work.[8] Von Ohain's first device was strictly experimental and could run only under external power, but he was able to demonstrate the basic concept. Ohain was then introduced to Ernst Heinkel, one of the larger aircraft industrialists of the day, who immediately saw the promise of the design. Heinkel had recently purchased the Hirth engine company, and Ohain and his master machinist Max Hahn were set up there as a new division of the Hirth company. They had their first HeS 1 centrifugal engine running by September 1937. Unlike Whittle's design, Ohain used hydrogen as fuel, supplied under external pressure. Their subsequent designs culminated in the gasoline-fuelled HeS 3 of 5 kN (1,100 lbf), which was fitted to Heinkel's simple and compact He 178 airframe and flown by Erich Warsitz in the early morning of August 27, 1939, from Rostock-Marienehe aerodrome, an impressively short time for development. The He 178 was the world's first jet plane.[9] Heinkel applied for a US patent covering the Aircraft Power Plant by Hans Joachim Pabst von Ohain in May 31, 1939; patent number US2256198, with M Hahn referenced as inventor.




A cutaway of the Junkers Jumo 004 engine


Austrian Anselm Franz of Junkers' engine division (Junkers Motoren or "Jumo") introduced the axial-flow compressor in their jet engine. Jumo was assigned the next engine number in the RLM 109-0xx numbering sequence for gas turbine aircraft powerplants, "004", and the result was the Jumo 004 engine. After many lesser technical difficulties were solved, mass production of this engine started in 1944 as a powerplant for the world's first jet-fighter aircraft, the Messerschmitt Me 262 (and later the world's first jet-bomber aircraft, the Arado Ar 234). A variety of reasons conspired to delay the engine's availability, causing the fighter to arrive too late to improve Germany's position in World War II, however this was the first jet engine to be used in service.




Gloster Meteor F.3s. The Gloster Meteor was the first British jet fighter and the Allies' only jet aircraft to achieve combat operations during World War II.


Meanwhile, in Britain the Gloster E28/39 had its maiden flight on 15 May 1941 and the Gloster Meteor finally entered service with the RAF in July 1944. These were powered by turbojet engines from Power Jets Ltd., set up by Frank Whittle. The first two operational turbojet aircraft, the Messerschmitt Me 262 and then the Gloster Meteor entered service within three months of each other in 1944.


Following the end of the war the German jet aircraft and jet engines were extensively studied by the victorious allies and contributed to work on early Soviet and US jet fighters. The legacy of the axial-flow engine is seen in the fact that practically all jet engines on fixed-wing aircraft have had some inspiration from this design.


By the 1950s the jet engine was almost universal in combat aircraft, with the exception of cargo, liaison and other specialty types. By this point some of the British designs were already cleared for civilian use, and had appeared on early models like the de Havilland Comet and Avro Canada Jetliner. By the 1960s all large civilian aircraft were also jet powered, leaving the piston engine in low-cost niche roles such as cargo flights.


The efficiency of turbojet engines was still rather worse than piston engines, but by the 1970s, with the advent of high-bypass turbofan jet engines (an innovation not foreseen by the early commentators such as Edgar Buckingham, at high speeds and high altitudes that seemed absurd to them), fuel efficiency was about the same as the best piston and propeller engines.[10]



Uses




A JT9D turbofan jet engine installed on a Boeing 747 aircraft.


Jet engines power jet aircraft, cruise missiles and unmanned aerial vehicles. In the form of rocket engines they power fireworks, model rocketry, spaceflight, and military missiles.


Jet engines have propelled high speed cars, particularly drag racers, with the all-time record held by a rocket car. A turbofan powered car, ThrustSSC, currently holds the land speed record.


Jet engine designs are frequently modified for non-aircraft applications, as industrial gas turbines or marine powerplants. These are used in electrical power generation, for powering water, natural gas, or oil pumps, and providing propulsion for ships and locomotives. Industrial gas turbines can create up to 50,000 shaft horsepower. Many of these engines are derived from older military turbojets such as the Pratt & Whitney J57 and J75 models. There is also a derivative of the P&W JT8D low-bypass turbofan that creates up to 35,000 HP.


Jet engines are also sometimes developed into, or share certain components such as engine cores, with turboshaft and turboprop engines, which are forms of gas turbine engines that are typically used to power helicopters and some propeller-driven aircraft.



Types of jet engine


There are a large number of different types of jet engines, all of which achieve forward thrust from the principle of jet propulsion.



Airbreathing



Commonly aircraft are propelled by airbreathing jet engines. Most airbreathing jet engines that are in use are turbofan jet engines, which give good efficiency at speeds just below the speed of sound.



Turbine powered



Gas turbines are rotary engines that extract energy from a flow of combustion gas. They have an upstream compressor coupled to a downstream turbine with a combustion chamber in-between. In aircraft engines, those three core components are often called the "gas generator."[11] There are many different variations of gas turbines, but they all use a gas generator system of some type.



Turbojet




Turbojet engine


A turbojet engine is a gas turbine engine that works by compressing air with an inlet and a compressor (axial, centrifugal, or both), mixing fuel with the compressed air, burning the mixture in the combustor, and then passing the hot, high pressure air through a turbine and a nozzle. The compressor is powered by the turbine, which extracts energy from the expanding gas passing through it. The engine converts internal energy in the fuel to kinetic energy in the exhaust, producing thrust. All the air ingested by the inlet is passed through the compressor, combustor, and turbine, unlike the turbofan engine described below.[12]



Turbofan



Schematic diagram illustrating the operation of a low-bypass turbofan engine.



Turbofans differ from turbojets in that they have an additional fan at the front of the engine, which accelerates air in a duct bypassing the core gas turbine engine. Turbofans are the dominant engine type for medium and long-range airliners.


Turbofans are usually more efficient than turbojets at subsonic speeds, but at high speeds their large frontal area generates more drag.[13] Therefore, in supersonic flight, and in military and other aircraft where other considerations have a higher priority than fuel efficiency, fans tend to be smaller or absent.


Because of these distinctions, turbofan engine designs are often categorized as low-bypass or high-bypass, depending upon the amount of air which bypasses the core of the engine. Low-bypass turbofans have a bypass ratio of around 2:1 or less.



Ram compression



Ram compression jet engines are airbreathing engines similar to gas turbine engines and they both follow the Brayton cycle. Gas turbine and ram powered engines differ, however, in how they compress the incoming airflow. Whereas gas turbine engines use axial or centrifugal compressors to compress incoming air, ram engines rely only on air compressed through the inlet or diffuser.[14] A ram engine thus requires a substantial initial forward airspeed before it can function. Ram powered engines are considered the most simple type of air breathing jet engine because they can contain no moving parts.[15]


Ramjets are ram powered jet engines. They are mechanically simple, and operate less efficiently than turbojets except at very high speeds.



Scramjets differ mainly in the fact that the air does not slow to subsonic speeds. Rather, they use supersonic combustion. They are efficient at even higher speed. Very few have been built or flown.




Non-continuous combustion




























Type

Description

Advantages

Disadvantages

Motorjet
Works like a turbojet but instead of a turbine driving the compressor a piston engine drives it.
Higher exhaust velocity than a propeller, offering better thrust at high speed
Heavy, inefficient and underpowered. Example: Caproni Campini N.1.

Pulsejet
Air is compressed and combusted intermittently instead of continuously. Some designs use valves.
Very simple design, used for the V-1 flying bomb and more recently on model aircraft
Noisy, inefficient (low compression ratio), works poorly on a large scale, valves on valved designs wear out quickly

Pulse detonation engine
Similar to a pulsejet, but combustion occurs as a detonation instead of a deflagration, may or may not need valves
Maximum theoretical engine efficiency
Extremely noisy, parts subject to extreme mechanical fatigue, hard to start detonation, not practical for current use


Other types of jet propulsion



Rocket





Rocket engine propulsion


The rocket engine uses the same basic physical principles of thrust as a form of reaction engine, but is distinct from the jet engine.[16] in that it does not require atmospheric air to provide oxygen; the rocket carries all components of the reaction mass. However some definitions treat it as a form of jet propulsion.[17]


Because rockets do not breathe air, this allows them to operate at arbitrary altitudes and in space.[18]


This type of engine is used for launching satellites, space exploration and manned access, and permitted landing on the moon in 1969.


Rocket engines are used for high altitude flights, or anywhere where very high accelerations are needed since rocket engines themselves have a very high thrust-to-weight ratio.


However, the high exhaust speed and the heavier, oxidizer-rich propellant results in far more propellant use than turbofans. Even so, at extremely high speeds they become energy-efficient.


An approximate equation for the net thrust of a rocket engine is:


FN=m˙g0Isp−vac−Aep{displaystyle F_{N}={dot {m}},g_{0},I_{sp-vac}-A_{e},p;}F_{N}={dot {m}},g_{0},I_{sp-vac}-A_{e},p;

Where FN{displaystyle F_{N}}F_{N} is the net thrust, Isp(vac){displaystyle I_{sp(vac)}}I_{sp(vac)} is the specific impulse, g0{displaystyle g_{0}}g_{0} is a standard gravity, {displaystyle {dot {m}}}{dot {m}} is the propellant flow in kg/s, Ae{displaystyle A_{e}}A_{e} is the cross-sectional area at the exit of the exhaust nozzle, and p{displaystyle p}p is the atmospheric pressure.















Type
Description
Advantages
Disadvantages

Rocket
Carries all propellants and oxidants on board, emits jet for propulsion[19]
Very few moving parts. Mach 0 to Mach 25+; efficient at very high speed (> Mach 5.0 or so). Thrust/weight ratio over 100. No complex air inlet. High compression ratio. Very high-speed (hypersonic) exhaust. Good cost/thrust ratio. Fairly easy to test. Works in a vacuum; indeed, works best outside the atmosphere, which is kinder on vehicle structure at high speed. Fairly small surface area to keep cool, and no turbine in hot exhaust stream. Very high-temperature combustion and high expansion-ratio nozzle gives very high efficiency, at very high speeds.
Needs lots of propellant. Very low specific impulse – typically 100–450 seconds. Extreme thermal stresses of combustion chamber can make reuse harder. Typically requires carrying oxidizer on-board which increases risks. Extraordinarily noisy.


Hybrid


Combined-cycle engines simultaneously use two or more different principles of jet propulsion.




























Type

Description

Advantages

Disadvantages

Turborocket
A turbojet where an additional oxidizer 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
Airspeed limited to same range as turbojet engine, carrying oxidizer like LOX can be dangerous. Much heavier than simple rockets.

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.

Precooled jets / LACE
Intake air is chilled to very low temperatures at inlet in a heat exchanger before passing through a ramjet and/or turbojet and/or rocket engine.
Easily tested on ground. Very 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, very long distance intercontinental travel.
Exists only at the lab prototyping stage. Examples include RB545, Reaction Engines SABRE, ATREX. Requires liquid hydrogen fuel which has very low density and requires heavily insulated tankage.


Water jet



A water jet, or pump-jet, is a marine propulsion system that utilizes a jet of water. The mechanical arrangement may be a ducted propeller with nozzle, or a centrifugal compressor and nozzle. The pump-jet must be driven by a separate engine such as a Diesel or gas turbine.




A pump jet schematic.
















Type

Description

Advantages

Disadvantages

Water jet
For propelling water rockets and jetboats; squirts water out the back through a nozzle
In boats, can run in shallow water, high acceleration, no risk of engine overload (unlike propellers), less noise and vibration, highly maneuverable at all boat speeds, high speed efficiency, less vulnerable to damage from debris, very reliable, more load flexibility, less harmful to wildlife
Can be less efficient than a propeller at low speed, more expensive, higher weight in boat due to entrained water, will not perform well if boat is heavier than the jet is sized for


General physical principles


All jet engines are reaction engines that generate thrust by emitting a jet of fluid rearwards at relatively high speed. The forces on the inside of the engine needed to create this jet give a strong thrust on the engine which pushes the craft forwards.


Jet engines make their jet from propellant from tankage that is attached to the engine (as in a 'rocket') as well as in duct engines (those commonly used on aircraft) by ingesting an external fluid (very typically air) and expelling it at higher speed.



Propelling nozzle



The propelling nozzle is the key component of all jet engines as it creates the exhaust jet. Propelling nozzles turn internal and pressure energy into high velocity kinetic energy.[20] The total pressure and temperature don't change through the nozzle but their static values drop as the gas speeds up.


The velocity of the air entering the nozzle is low, about Mach 0.4, a prerequisite for minimizing pressure losses in the duct leading to the nozzle. The temperature entering the nozzle may be as low as sea level ambient for a fan nozzle in the cold air at cruise altitudes. It may be as high as the 1000K exhaust gas temperature for a supersonic afterburning engine or 2200K with afterburner lit.[21] The pressure entering the nozzle may vary from 1.5 times the pressure outside the nozzle, for a single stage fan, to 30 times for the fastest manned aircraft at mach 3+.[22]


Convergent nozzles are only able to accelerate the gas up to local sonic (Mach 1) conditions. To reach high flight speeds, even greater exhaust velocities are required, and so a convergent-divergent nozzle is often used on high-speed aircraft.[23]


The nozzle thrust is highest if the static pressure of the gas reaches the ambient value as it leaves the nozzle. This only happens if the nozzle exit area is the correct value for the nozzle pressure ratio (npr). Since the npr changes with engine thrust setting and flight speed this is seldom the case. Also at supersonic speeds the divergent area is less than required to give complete internal expansion to ambient pressure as a trade-off with external body drag. Whitford[24] gives the F-16 as an example. Other underexpanded examples were the XB-70 and SR-71.


The nozzle size, together with the area of the turbine nozzles, determines the operating pressure of the compressor.[25]



Thrust




Energy efficiency relating to aircraft jet engines


This overview highlights where energy losses occur in complete jet aircraft powerplants or engine installations.


A jet engine at rest, as on a test stand, sucks in fuel and generates thrust. How well it does this is judged by how much fuel it uses and what force is required to restrain it. This is a measure of its efficiency. If something deteriorates inside the engine (known as performance deterioration[26]) it will be less efficient and this will show when the fuel produces less thrust. If a change is made to an internal part which allows the air/combustion gases to flow more smoothly the engine will be more efficient and use less fuel. A standard definition is used to assess how different things change engine efficiency and also to allow comparisons to be made between different engines. This definition is called specific fuel consumption, or how much fuel is needed to produce one unit of thrust. For example, it will be known for a particular engine design that if some bumps in a bypass duct are smoothed out the air will flow more smoothly giving a pressure loss reduction of x% and y% less fuel will be needed to get the take-off thrust, for example. This understanding comes under the engineering discipline Jet engine performance. How efficiency is affected by forward speed and by supplying energy to aircraft systems is mentioned later.


The efficiency of the engine is controlled primarily by the operating conditions inside the engine which are the pressure produced by the compressor and the temperature of the combustion gases at the first set of rotating turbine blades. The pressure is the highest air pressure in the engine. The turbine rotor temperature is not the highest in the engine but is the highest at which energy transfer takes place ( higher temperatures occur in the combustor). The above pressure and temperature are shown on a Thermodynamic cycle diagram.


The efficiency is further modified by how smoothly the air and the combustion gases flow through the engine, how well the flow is aligned (known as incidence angle) with the moving and stationary passages in the compressors and turbines.[27] Non-optimum angles, as well as non-optimum passage and blade shapes can cause thickening and separation of Boundary layers and formation of Shock waves. It is important to slow the flow (lower speed means less pressure losses or Pressure drop) when it travels through ducts connecting the different parts. How well the individual components contribute to turning fuel into thrust is quantified by measures like efficiencies for the compressors, turbines and combustor and pressure losses for the ducts. These are shown as lines on a Thermodynamic cycle diagram.


The engine efficiency, or thermal efficiency,[28] known as ηth{displaystyle eta _{th}}eta _{{th}}. is dependent on the Thermodynamic cycle parameters, maximum pressure and temperature, and on component efficiencies, ηcompressor{displaystyle eta _{compressor}}{displaystyle eta _{compressor}}, ηcombustion{displaystyle eta _{combustion}}{displaystyle eta _{combustion}} and ηturbine{displaystyle eta _{turbine}}{displaystyle eta _{turbine}} and duct pressure losses.


The engine needs compressed air for itself just to run successfully. This air comes from its own compressor and is called secondary air. It does not contribute to making thrust so makes the engine less efficient. It is used to preserve the mechanical integrity of the engine, to stop parts overheating and to prevent oil escaping from bearings for example. Only some of this air taken from the compressors returns to the turbine flow to contribute to thrust production. Any reduction in the amount needed improves the engine efficiency. Again, it will be known for a particular engine design that a reduced requirement for cooling flow of x% will reduce the specific fuel consumption by y%. In other words, less fuel will be required to give take-off thrust, for example. The engine is more efficient.


All of the above considerations are basic to the engine running on its own and, at the same time, doing nothing useful, i.e. it is not moving an aircraft or supplying energy for the aircraft's electrical, hydraulic and air systems. In the aircraft the engine gives away some of its thrust-producing potential, or fuel, to power these systems. These requirements, which cause installation losses,[29] reduce its efficiency. It is using some fuel that does not contribute to the engine's thrust.


Finally, when the aircraft is flying the propelling jet itself contains wasted kinetic energy after it has left the engine. This is quantified by the term propulsive, or Froude, efficiency ηp{displaystyle eta _{p}}eta _{p} and may be reduced by redesigning the engine to give it bypass flow and a lower speed for the propelling jet, for example as a turboprop or turbofan engine. At the same time forward speed increases the ηth{displaystyle eta _{th}}eta _{{th}} by increasing the Overall pressure ratio.


The overall efficiency of the engine at flight speed is defined as ηo=ηth{displaystyle eta _{o}=eta _{p}eta _{th}}{displaystyle eta _{o}=eta _{p}eta _{th}}.[30]


The ηo{displaystyle eta _{o}}{displaystyle eta _{o}} at flight speed depends on how well the intake compresses the air before it is handed over to the engine compressors. The intake compression ratio, which can be as high as 32:1 at Mach 3, adds to that of the engine compressor to give the Overall pressure ratio and ηth{displaystyle eta _{th}}eta _{{th}} for the Thermodynamic cycle. How well it does this is defined by its pressure recovery or measure of the losses in the intake. Mach 3 manned flight has provided an interesting illustration of how these losses can increase dramatically in an instant. The North American XB-70 Valkyrie and Lockheed SR-71 Blackbird at Mach 3 each had pressure recoveries of about 0.8,[31][32] due to relatively low losses during the compression process, i.e. through systems of multiple shocks. During an 'unstart' the efficient shock system would be replaced by a very inefficient single shock beyond the inlet and an intake pressure recovery of about 0.3 and a correspondingly low pressure ratio.


The propelling nozzle at speeds above about Mach 2 usually has extra internal thrust losses because the exit area is not big enough as a trade-off with external afterbody drag.[33]


Although a bypass engine improves propulsive efficiency it incurs losses of its own inside the engine itself. Machinery has to be added to transfer energy from the gas generator to a bypass airflow. The low loss from the propelling nozzle of a turbojet is added to with extra losses due to inefficiencies in the added turbine and fan.[34] These may be included in a transmission, or transfer, efficiency ηT{displaystyle eta _{T}}{displaystyle eta _{T}}. However, these losses are more than made up[35] by the improvement in propulsive efficiency.[36] There are also extra pressure losses in the bypass duct and an extra propelling nozzle.


With the advent of turbofans with their loss-making machinery what goes on inside the engine has been separated by Bennett,[37] for example, between gas generator and transfer machinery giving ηo=ηthηT{displaystyle eta _{o}=eta _{p}eta _{th}eta _{T}}{displaystyle eta _{o}=eta _{p}eta _{th}eta _{T}}.




Dependence of propulsion efficiency (η) upon the vehicle speed/exhaust velocity ratio (v/ve) for air-breathing jet and rocket engines.


The energy efficiency (ηo{displaystyle eta _{o}}{displaystyle eta _{o}}) of jet engines installed in vehicles has two main components:




  • propulsive efficiency (ηp{displaystyle eta _{p}}eta _{p}): how much of the energy of the jet ends up in the vehicle body rather than being carried away as kinetic energy of the jet.


  • cycle efficiency (ηth{displaystyle eta _{th}}eta _{{th}}): how efficiently the engine can accelerate the jet


Even though overall energy efficiency ηo{displaystyle eta _{o}}{displaystyle eta _{o}} is:


ηo=ηth{displaystyle eta _{o}=eta _{p}eta _{th}}{displaystyle eta _{o}=eta _{p}eta _{th}}

for all jet engines the propulsive efficiency is highest as the exhaust jet velocity gets closer to the vehicle speed as this gives the smallest residual kinetic energy.[38] For an airbreathing engine an exhaust velocity equal to the vehicle velocity, or a ηp{displaystyle eta _{p}}eta _{p} equal to one, gives zero thrust with no net momentum change.[39] The formula for air-breathing engines moving at speed v{displaystyle v}v with an exhaust velocity ve{displaystyle v_{e}}v_{e}, and neglecting fuel flow, is:[40]


ηp=21+vev{displaystyle eta _{p}={frac {2}{1+{frac {v_{e}}{v}}}}}eta _{p}={frac {2}{1+{frac {v_{e}}{v}}}}

And for a rocket:[41]


ηp=2(vve)1+(vve)2{displaystyle eta _{p}={frac {2,({frac {v}{v_{e}}})}{1+({frac {v}{v_{e}}})^{2}}}}eta _{p}={frac {2,({frac {v}{v_{e}}})}{1+({frac {v}{v_{e}}})^{2}}}

In addition to propulsive efficiency, another factor is cycle efficiency; a jet engine is a form of heat engine. Heat engine efficiency is determined by the ratio of temperatures reached in the engine to that exhausted at the nozzle. This has improved constantly over time as new materials have been introduced to allow higher maximum cycle temperatures. For example, composite materials, combining metals with ceramics, have been developed for HP turbine blades, which run at the maximum cycle temperature.[42] The efficiency is also limited by the overall pressure ratio that can be achieved. Cycle efficiency is highest in rocket engines (~60+%), as they can achieve extremely high combustion temperatures. Cycle efficiency in turbojet and similar is nearer to 30%, due to much lower peak cycle temperatures.




Typical combustion efficiency of an aircraft gas turbine over the operational range.




Typical combustion stability limits of an aircraft gas turbine.


The combustion efficiency of most aircraft gas turbine engines at sea level takeoff conditions
is almost 100%. It decreases nonlinearly to 98% at altitude cruise conditions. Air-fuel ratio ranges from 50:1 to 130:1. For any type of combustion chamber there is a rich and weak limit to the air-fuel ratio, beyond which the flame is extinguished. The range of air-fuel ratio between the rich and weak limits is reduced with an increase of air velocity. If the
increasing air mass flow reduces the fuel ratio below certain value, flame extinction occurs.[43]





Specific impulse as a function of speed for different jet types with kerosene fuel (hydrogen Isp would be about twice as high). Although efficiency plummets with speed, greater distances are covered. Efficiency per unit distance (per km or mile) is roughly independent of speed for jet engines as a group; however, airframes become inefficient at supersonic speeds.



Consumption of fuel or propellant


A closely related (but different) concept to energy efficiency is the rate of consumption of propellant mass. Propellant consumption in jet engines is measured by Specific Fuel Consumption, Specific impulse or Effective exhaust velocity. They all measure the same thing. Specific impulse and effective exhaust velocity are strictly proportional, whereas specific fuel consumption is inversely proportional to the others.


For airbreathing engines such as turbojets, energy efficiency and propellant (fuel) efficiency are much the same thing, since the propellant is a fuel and the source of energy. In rocketry, the propellant is also the exhaust, and this means that a high energy propellant gives better propellant efficiency but can in some cases actually give lower energy efficiency.


It can be seen in the table (just below) that the subsonic turbofans such as General Electric's CF6 turbofan use a lot less fuel to generate thrust for a second than did the Concorde's Rolls-Royce/Snecma Olympus 593 turbojet. However, since energy is force times distance and the distance per second was greater for Concorde, the actual power generated by the engine for the same amount of fuel was higher for Concorde at Mach 2 than the CF6. Thus, the Concorde's engines were more efficient in terms of energy per mile.

























































































Specific fuel consumption (SFC), specific impulse, and effective exhaust velocity numbers for various rocket and jet engines.
Engine type
Scenario

Spec. fuel cons.
Specific
impulse (s)

Effective exhaust
velocity (m/s)
(lb/lbf·h)
(g/kN·s)

NK-33 rocket engine
Vacuum
10.9
308
331[44]
3250

SSME rocket engine
Space shuttle vacuum
7.95
225
453[45]
4440

Ramjet[verification needed]
Mach 1
4.5
130
800
7800

J-58 turbojet
SR-71 at Mach 3.2 (Wet)
1.9[46]
54
1900
19000
Eurojet EJ200 Reheat
1.66–1.73
47–49[47]
2080–2170
20400–21300

Rolls-Royce/Snecma Olympus 593 turbojet
Concorde Mach 2 cruise (Dry)
1.195[48]
33.8
3010
29500
Eurojet EJ200 Dry
0.74–0.81
21–23[47]
4400–4900
44000–48000
CF6-80C2B1F turbofan Boeing 747-400 cruise
0.605[48]
17.1
5950
58400

General Electric CF6 turbofan
Sea level
0.307[48]
8.7
11700
115000


Thrust-to-weight ratio



The thrust-to-weight ratio of jet engines with similar configurations varies with scale, but is mostly a function of engine construction technology. For a given engine, the lighter the engine, the better the thrust-to-weight is, the less fuel is used to compensate for drag due to the lift needed to carry the engine weight, or to accelerate the mass of the engine.


As can be seen in the following table, rocket engines generally achieve much higher thrust-to-weight ratios than duct engines such as turbojet and turbofan engines. This is primarily because rockets almost universally use dense liquid or solid reaction mass which gives a much smaller volume and hence the pressurization system that supplies the nozzle is much smaller and lighter for the same performance. Duct engines have to deal with air which is two to three orders of magnitude less dense and this gives pressures over much larger areas, which in turn results in more engineering materials being needed to hold the engine together and for the air compressor.
















































































































Jet or rocket engine
Mass
Thrust (vacuum)

Thrust-to-weight ratio
(kg)
(lb)
(kN)
(lbf)

RD-0410 nuclear rocket engine[49][50]
2,000
4,400
35.2
7,900
1.8

J58 jet engine (SR-71 Blackbird)[51][52]
2,722
6,001
150
34,000
5.2

Rolls-Royce/Snecma Olympus 593
turbojet with reheat (Concorde)[53]
3,175
7,000
169.2
38,000
5.4

Pratt & Whitney F119[54]
1,800
3,900
91
20,500
7.95

RD-0750 rocket engine, three-propellant mode[55]
4,621
10,188
1,413
318,000
31.2

RD-0146 rocket engine[56]
260
570
98
22,000
38.4

Rocketdyne RS-25 Space Shuttle Main Engine[57]
3,177
7,004
2,278
512,000
73.1

RD-180 rocket engine[58]
5,393
11,890
4,152
933,000
78.5

RD-170 rocket engine
9,750
21,500
7,887
1,773,000
82.5

F-1 (Saturn V first stage)[59]
8,391
18,499
7,740.5
1,740,100
94.1

NK-33 rocket engine[60]
1,222
2,694
1,638
368,000
136.7

Merlin 1D rocket engine, full-thrust version [61]
467
1,030
825
185,000
180.1


Comparison of types




Propulsive efficiency comparison for various gas turbine engine configurations


Propeller engines handle larger air mass flows, and give them smaller acceleration, than jet engines. Since the increase in air speed is small, at high flight speeds the thrust available to propeller-driven aeroplanes is small. However, at low speeds, these engines benefit from relatively high propulsive efficiency.


On the other hand, turbojets accelerate a much smaller mass flow of intake air and burned fuel, but they then reject it at very high speed. When a de Laval nozzle is used to accelerate a hot engine exhaust, the outlet velocity may be locally supersonic. Turbojets are particularly suitable for aircraft travelling at very high speeds.


Turbofans have a mixed exhaust consisting of the bypass air and the hot combustion product gas from the core engine. The amount of air that bypasses the core engine compared to the amount flowing into the engine determines what is called a turbofan's bypass ratio (BPR).


While a turbojet engine uses all of the engine's output to produce thrust in the form of a hot high-velocity exhaust gas jet, a turbofan's cool low-velocity bypass air yields between 30% and 70% of the total thrust produced by a turbofan system.[62]


The net thrust (FN) generated by a turbofan can also be expanded as:[63]


FN=m˙evhe−ovo+BPR(m˙cvf){displaystyle F_{N}={dot {m}}_{e}v_{he}-{dot {m}}_{o}v_{o}+BPR,({dot {m}}_{c}v_{f})}{displaystyle F_{N}={dot {m}}_{e}v_{he}-{dot {m}}_{o}v_{o}+BPR,({dot {m}}_{c}v_{f})}

where:




































 e
= the mass rate of hot combustion exhaust flow from the core engine

o
= the mass rate of total air flow entering the turbofan = c + f

c
= the mass rate of intake air that flows to the core engine

f
= the mass rate of intake air that bypasses the core engine

vf
= the velocity of the air flow bypassed around the core engine

vhe
= the velocity of the hot exhaust gas from the core engine

vo
= the velocity of the total air intake = the true airspeed of the aircraft

BPR
= Bypass Ratio

Rocket engines have extremely high exhaust velocity and thus are best suited for high speeds (hypersonic) and great altitudes. At any given throttle, the thrust and efficiency of a rocket motor improves slightly with increasing altitude (because the back-pressure falls thus increasing net thrust at the nozzle exit plane), whereas with a turbojet (or turbofan) the falling density of the air entering the intake (and the hot gases leaving the nozzle) causes the net thrust to decrease with increasing altitude. Rocket engines are more efficient than even scramjets above roughly Mach 15.[64]



Altitude and speed


With the exception of scramjets, jet engines, deprived of their inlet systems can only accept air at around half the speed of sound. The inlet system's job for transonic and supersonic aircraft is to slow the air and perform some of the compression.


The limit on maximum altitude for engines is set by flammability – at very high altitudes the air becomes too thin to burn, or after compression, too hot. For turbojet engines altitudes of about 40 km appear to be possible, whereas for ramjet engines 55 km may be achievable. Scramjets may theoretically manage 75 km.[65] Rocket engines of course have no upper limit.


At more modest altitudes, flying faster compresses the air at the front of the engine, and this greatly heats the air. The upper limit is usually thought to be about Mach 5–8, as above about Mach 5.5, the atmospheric nitrogen tends to react due to the high temperatures at the inlet and this consumes significant energy. The exception to this is scramjets which may be able to achieve about Mach 15 or more,[citation needed] as they avoid slowing the air, and rockets again have no particular speed limit.



Noise


The noise emitted by a jet engine has many sources. These include, in the case of gas turbine engines, the fan, compressor, combustor, turbine and propelling jet/s.[66]


The propelling jet produces jet noise which is caused by the violent mixing action of the high speed jet with the surrounding air. In the subsonic case the noise is produced by eddies and in the supersonic case by Mach waves.[67] The sound power radiated from a jet varies with the jet velocity raised to the eighth power for velocities up to 2,000 ft/sec and varies with the velocity cubed above 2,000 ft/sec.[68] Thus, the lower speed exhaust jets emitted from engines such as high bypass turbofans are the quietest, whereas the fastest jets, such as rockets, turbojets, and ramjets, are the loudest. For commercial jet aircraft the jet noise has reduced from the turbojet through bypass engines to turbofans as a result of a progressive reduction in propelling jet velocities. For example, the JT8D, a bypass engine, has a jet velocity of 1450 ft/sec whereas the JT9D, a turbofan, has jet velocities of 885 ft/sec (cold) and 1190 ft/sec (hot).[69]


The advent of the turbofan replaced the very distinctive jet noise with another sound known as "buzz saw" noise. The origin is the shockwaves originating at the supersonic fan blades at takeoff thrust.[70]



See also



  • Air turboramjet

  • Balancing machine

  • Components of jet engines

  • Gas turbine

  • Jet engine performance

  • Jetboat

  • Pulsejet

  • Reaction engine

  • Rocket engine nozzle

  • Rocket turbine engine

  • Spacecraft propulsion

  • Thrust reversal

  • Turbofan

  • Turbojet

  • Turbojet development at the RAE

  • Turboprop

  • Turboshaft

  • Variable cycle engine

  • Water injection (engine)



References





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  2. ^ propeller efficiency Archived May 25, 2008, at the Wayback Machine.


  3. ^ Bakken, Lars E.; Jordal, Kristin; Syverud, Elisabet; Veer, Timot (14 June 2004). Centenary of the First Gas Turbine to Give Net Power Output: A Tribute to Ægidius Elling. The American Society of Mechanical Engineers. pp. 83–88. doi:10.1115/GT2004-53211. ISBN 978-0791841679. Retrieved 26 April 2015.


  4. ^ Maxime Guillaume, "Propulseur par réaction sur l'air," French patent no. 534,801 (filed: 3 May 1921; issued: 13 January 1922). Available on-line (in French) at: http://v3.espacenet.com/origdoc?DB=EPODOC&IDX=FR534801&F=0&QPN=FR534801 .


  5. ^ "Chasing the Sun – Frank Whittle". PBS. Retrieved 2010-03-26.


  6. ^ "History – Frank Whittle (1907–1996)". BBC. Retrieved 2010-03-26.


  7. ^ Frank Whittle, "Improvements relating to the propulsion of aircraft and other vehicles," British patent no. 347,206 (filed: 16 January 1930). Available on-line at: http://v3.espacenet.com/origdoc?DB=EPODOC&IDX=GB347206&F=0&QPN=GB347206 .


  8. ^ The History of the Jet Engine – Sir Frank Whittle – Hans Von Ohain Ohain said that he had not read Whittle's patent and Whittle believed him. (Frank Whittle 1907–1996).


  9. ^ Warsitz, Lutz: The First Jet Pilot – The Story of German Test Pilot Erich Warsitz (p. 125), Pen and Sword Books Ltd., England, 2009


  10. ^ "ch. 10-3". Hq.nasa.gov. Retrieved 2010-03-26.


  11. ^ Mattingly, Jack D. (2006). Elements of Propulsion: Gas Turbines and Rockets. AIAA Education Series. Reston, VA: American Institute of Aeronautics and Astronautics. p. 6. ISBN 978-1563477799.


  12. ^ Mattingly, pp. 6–8


  13. ^ Mattingly, pp. 9–11


  14. ^ Mattingly, p. 14


  15. ^ *Flack, Ronald D. (2005). Fundamentals of Jet Propulsion with Applications. Cambridge Aerospace Series. New York: Cambridge University Press. p. 16. ISBN 978-0521819831.


  16. ^ Reaction engine definition, Collins online dictionary: "an engine, such as a jet or rocket engine, that ejects gas at high velocity and develops its thrust from the ensuing reaction" (UK), or "an engine, as a jet or rocket engine, that generates thrust by the reaction to an ejected stream of hot exhaust gases, ions, etc." (US) (retrieved 28 June 2018)


  17. ^ Jet propulsion, Collins online dictionary definition. (retrieved 1 July 2018)


  18. ^ AC Kermode; Mechanics of Flight, 8th Edition, Pitman 1972, pp. 128–31.


  19. ^ "Rocket Thrust Equation". Grc.nasa.gov. 2008-07-11. Retrieved 2010-03-26.


  20. ^ Jet Propulsion for Aerospace Applications Second Edition 1964, Hesse and Mumford, Pitman Publishing Corporation, LCCN 64-18757, p. 48


  21. ^ "Jet Propulsion" Nicholas Cumpsty 1997, Cambridge University Press,
    ISBN 0521596742, p. 197



  22. ^ SR-71 overview part 2 Fig. 17


  23. ^ Fig.11


  24. ^ Design For Air Combat" Ray Whitford Jane's Publishing Company Ltd. 1987,
    ISBN 0710604262, p. 203



  25. ^ "Jet Propulsion" Nicholas Cumpsty 1997, Cambridge University Press,
    ISBN 0521596742, p. 141



  26. ^ Gas Turbine Performance Deterioration, Meher-Homji, Chaker and Motiwala, Proceedings Of The 30th Turbomachinery Symposium, ASME, pp. 139–75


  27. ^ "Jet Propulsion' Nicholas Cumpsty, Cambridge University Press 2001,
    ISBN 0521596742, Figure 9.1 shows losses with incidence



  28. ^ "Jet Propulsion' Nicholas Cumpsty, Cambridge University Press 2001,
    ISBN 0521596742, p. 35



  29. ^ Gas Turbine Performance' Second Edition, Walsh and Fletcher, Blackwell Science Ltd.,
    ISBN 063206434X, p. 64



  30. ^ "Jet Propulsion' Nicholas Cumpsty, Cambridge University Press 2001,
    ISBN 0521596742, p. 26



  31. ^ "Archived copy" (PDF). Archived from the original (PDF) on 2016-05-09. Retrieved 2016-05-16.CS1 maint: Archived copy as title (link) Figure 22 Inlet Pressure Recovery


  32. ^ B-70 Aircraft Study Final Report Volume IV, SD 72-SH-0003 April 1972, L.J.Taube, Space Division North American Rockwell, pp. iv–11


  33. ^ "Design For Air Combat" Ray Whitford, Jane's Publishing Company Limited 1987,
    ISBN 0710604262, p. 203 'Area ratio for optimum expansion'



  34. ^ Gas Turbine Performance' Second Edition, Walsh and Fletcher, Blackwell Science Ltd.,
    ISBN 0632065354, p. 305



  35. ^ Aero engine development for the future, Bennett, Proc Instn Mech Engrs Vol 197A, IMechE July 1983, Fig.5 Overall spectrum of engine losses


  36. ^ Gas Turbine Theory Second Edition, Cohen, Rogers and Saravanamuttoo, Longman Group Limited 1972,
    ISBN 0582449278, p.



  37. ^ Aero engine development for the future, Bennett, Proc Instn Mech Engrs Vol 197A, IMechE July 1983, p. 150


  38. ^ Note: In Newtonian mechanics kinetic energy is frame dependent. The kinetic energy is easiest to calculate when the speed is measured in the center of mass frame of the vehicle and (less obviously) its reaction mass / air (i.e., the stationary frame before takeoff begins.


  39. ^ "Jet Propulsion for Aerospace Applications' Second Edition, Hesse and Mumford, Piman Publishing Corporation 1964, LCCN 64-18757, p. 39


  40. ^ "Jet Propulsion" Nicholas Cumpsty
    ISBN 0521596742 p. 24



  41. ^ George P. Sutton and Oscar Biblarz (2001). Rocket Propulsion Elements (7th ed.). John Wiley & Sons. pp. 37–38. ISBN 978-0471326427.


  42. ^ S. Walston, A. Cetel, R. MacKay, K. O’Hara, D. Duhl, and R. Dreshfield (2004). Joint Development of a Fourth Generation Single Crystal Superalloy Archived 2006-10-15 at the Wayback Machine.. NASA TM—2004-213062. December 2004. Retrieved: 16 June 2010.


  43. ^ Claire Soares, "Gas Turbines: A Handbook of Air, Land and Sea Applications", p. 140.


  44. ^ "NK33". Encyclopedia Astronautica.


  45. ^ "SSME". Encyclopedia Astronautica.


  46. ^ Nathan Meier (21 Mar 2005). "Military Turbojet/Turbofan Specifications".


  47. ^ ab "EJ200 turbofan engine" (PDF). MTU Aero Engines. April 2016.


  48. ^ abc Ilan Kroo. "Data on Large Turbofan Engines". Aircraft Design: Synthesis and Analysis. Stanford University.


  49. ^ Wade, Mark. "RD-0410". Encyclopedia Astronautica. Retrieved 2009-09-25.


  50. ^ "«Konstruktorskoe Buro Khimavtomatiky» - Scientific-Research Complex / RD0410. Nuclear Rocket Engine. Advanced launch vehicles". KBKhA - Chemical Automatics Design Bureau. Retrieved 2009-09-25.


  51. ^ "Aircraft: Lockheed SR-71A Blackbird". Archived from the original on 2012-07-29. Retrieved 2010-04-16.


  52. ^ "Factsheets : Pratt & Whitney J58 Turbojet". National Museum of the United States Air Force. Archived from the original on 2015-04-04. Retrieved 2010-04-15.


  53. ^ "Rolls-Royce SNECMA Olympus - Jane's Transport News". Archived from the original on 2010-08-06. Retrieved 2009-09-25. With afterburner, reverser and nozzle ... 3,175 kg ... Afterburner ... 169.2 kN


  54. ^ Military Jet Engine Acquisition, RAND, 2002.


  55. ^ "«Konstruktorskoe Buro Khimavtomatiky» - Scientific-Research Complex / RD0750". KBKhA - Chemical Automatics Design Bureau. Retrieved 2009-09-25.


  56. ^ Wade, Mark. "RD-0146". Encyclopedia Astronautica. Retrieved 2009-09-25.


  57. ^ SSME


  58. ^ "RD-180". Retrieved 2009-09-25.


  59. ^ Encyclopedia Astronautica: F-1


  60. ^ Astronautix NK-33 entry


  61. ^ Mueller, Thomas (June 8, 2015). "Is SpaceX's Merlin 1D's thrust-to-weight ratio of 150+ believable?". Retrieved July 9, 2015. The Merlin 1D weighs 1030 pounds, including the hydraulic steering (TVC) actuators. It makes 162,500 pounds of thrust in vacuum. that is nearly 158 thrust/weight. The new full thrust variant weighs the same and makes about 185,500 lbs force in vacuum.


  62. ^ Federal Aviation Administration (FAA) (2004). FAA-H-8083-3B Airplane Flying Handbook Handbook (PDF). Federal Aviation Administration. Archived from the original (PDF) on 2012-09-21.


  63. ^ "Turbofan Thrust".


  64. ^ "Microsoft PowerPoint – KTHhigspeed08.ppt" (PDF). Retrieved 2010-03-26.


  65. ^ "Scramjet". Orbitalvector.com. 2002-07-30. Retrieved 2010-03-26.


  66. ^ "Softly, softly towards the quiet jet" Michael J. T. Smith New Scientist 19 February 1970 p. 350


  67. ^ "Silencing the sources of jet noise" Dr David Crighton New Scientist 27 July 1972 p. 185


  68. ^ "Noise" I.C. Cheeseman Flight International 16 April 1970 p. 639


  69. ^ "The Aircraft Gas Turbine Engine and its operation" United Technologies Pratt & Whitney Part No. P&W 182408 December 1982 Sea level static internal pressures and temperatures pp. 219–20


  70. ^ 'Quietening a Quiet Engine – The RB211 Demonstrator Programme" M.J.T. Smith SAE paper 760897 "Intake Noise Suppression" p. 5




Bibliography




  • Brooks, David S. (1997). Vikings at Waterloo: Wartime Work on the Whittle Jet Engine by the Rover Company. Rolls-Royce Heritage Trust. ISBN 978-1872922089.


  • Golley, John (1997). Genesis of the Jet: Frank Whittle and the Invention of the Jet Engine. Crowood Press. ISBN 978-1853108600.


  • Hill, Philip; Peterson, Carl (1992), Mechanics and Thermodynamics of Propulsion (2nd ed.), New York: Addison-Wesley, ISBN 978-0201146592


  • Kerrebrock, Jack L. (1992). Aircraft Engines and Gas Turbines (2nd ed.). Cambridge, MA: The MIT Press. ISBN 978-0262111621.



External links



















  • Media about jet engines from Rolls-Royce

  • How Stuff Works article on how a Gas Turbine Engine works

  • Influence of the Jet Engine on the Aerospace Industry


  • An Overview of Military Jet Engine History, Appendix B, pp. 97–120, in Military Jet Engine Acquisition (Rand Corp., 24 pp, PDF)

  • Basic jet engine tutorial (QuickTime Video)

  • An article on how reaction engine works











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