Jet engine

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

Jet engine
F100 F-15 engine.JPG
ClassificationInternal combustion engine
IndustryAerospace
ApplicationAviation
Fuel sourceJet fuel
ComponentsDynamic compressor, Fan, Combustor, Turbine, Propelling nozzle
InventorJohn Barber, Frank Whittle
Invented1791, 1928
U.S. Air Force F-15E Strike Eagles
Jet engine during take-off showing visible hot exhaust (Germanwings Airbus A319)

A jet engine is a type of reaction engine discharging a fast-moving jet that generates thrust by jet propulsion. While this broad definition can include rocket, water jet, and hybrid propulsion, the term jet engine typically refers to an internal combustion airbreathing jet engine such as a turbojet, turbofan, ramjet, or pulse jet.[1] In general, jet engines are internal combustion engines.

Airbreathing jet engines typically feature a rotating air compressor powered by a turbine, with the leftover power providing thrust through the 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 that 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 previously a similar journey would have required multiple fuel stops.[2]

History[edit]

The principle of the jet engine is not new; however the technical advances necessary to make the idea work did not come to fruition until the 20th century. A rudimentary demonstration of jet power dates back to the aeolipile, a device described by Hero of Alexandria in 1st-century Roman Egypt. This device directed steam power through two nozzles to cause a sphere to spin rapidly on its axis. It was seen as a curiosity. Meanwhile, practical applications of the turbine can be seen in the water wheel and the windmill.

The first practical applications of jet propulsion appeared with the invention of the gunpowder-powered rocket by the Chinese in the 13th century. It was initially a type of firework, and gradually progressed to propel formidable weaponry. The principles used by the Chinese to send their rockets and fireworks was similar to that of a jet engine.[3]

In 1551, Taqi ad-Din Muhammad ibn Ma'ruf in Ottoman Egypt invented a steam jack, driven by a steam turbine, describing a method for rotating a spit by means of a jet of steam playing on rotary vanes around the periphery of a wheel.[4] It was the first practical steam jet device. A similar device was later described by John Wilkins in 1648.[5]

The earliest report of an attempted jet flight also dates back to the Ottoman Empire. In 1633, the Ottoman soldier Lagâri Hasan Çelebi reportedly used a cone-shaped rocket.[3]

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,[6] 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 most common 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.[7] 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 Maxime Guillaume.[8][9] 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.[10] In October 1929, he developed his ideas further.[11] On 16 January 1930, in England, Whittle submitted his first patent (granted in 1932).[12] 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 the same disc, initially unaware of Whittle's work.[13] 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.[14] Heinkel applied for a US patent covering the Aircraft Power Plant by Hans Joachim Pabst von Ohain on 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.[15]

Uses[edit]

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 Horse power (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[edit]

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

Airbreathing[edit]

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[edit]

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".[16] There are many different variations of gas turbines, but they all use a gas generator system of some type.

Turbojet[edit]
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.[17]

Turbofan[edit]
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.[18] 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[edit]

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.[19] 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.[20]

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[edit]

Type Description Advantages Disadvantages
Motorjet Works like a turbojet but a piston engine drives the compressor instead of a turbine. 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[edit]

Rocket[edit]

Rocket engine propulsion

The rocket engine uses the same basic physical principles of thrust as a form of reaction engine,[21] but is distinct from the jet engine 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.[22]

Because rockets do not breathe air, this allows them to operate at arbitrary altitudes and in space.[23]

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:

Where is the net thrust, is the specific impulse, is a standard gravity, is the propellant flow in kg/s, is the cross-sectional area at the exit of the exhaust nozzle, and is the atmospheric pressure.

Type Description Advantages Disadvantages
Rocket Carries all propellants and oxidants on board, emits jet for propulsion[24] 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[edit]

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[edit]

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[edit]

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 stored in tanks that are 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[edit]

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.[25] 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.[26] 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+.[27]

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.[28]

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[29] 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.[30]

Thrust[edit]

Energy efficiency relating to aircraft jet engines[edit]

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[31]) 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.[32] 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,[33] known as . is dependent on the Thermodynamic cycle parameters, maximum pressure and temperature, and on component efficiencies, , and 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,[34] 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 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 by increasing the Overall pressure ratio.

The overall efficiency of the engine at flight speed is defined as .[35]

The 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 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,[36][37] 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.[38]

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.[39] These may be included in a transmission, or transfer, efficiency . However, these losses are more than made up[40] by the improvement in propulsive efficiency.[41] 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,[42] for example, between gas generator and transfer machinery giving .

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

The energy efficiency () of jet engines installed in vehicles has two main components:

  • propulsive efficiency (): 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 (): how efficiently the engine can accelerate the jet

Even though overall energy efficiency is:

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.[43] For an airbreathing engine an exhaust velocity equal to the vehicle velocity, or a equal to one, gives zero thrust with no net momentum change.[44] The formula for air-breathing engines moving at speed with an exhaust velocity , and neglecting fuel flow, is:[45]

And for a rocket:[46]

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.[47] 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.[48]

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[edit]

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 air-breathing 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 the Concorde, the actual power generated by the engine for the same amount of fuel was higher for the 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 First run Scenario Spec. fuel cons. Specific
impulse (s)
Effective exhaust
velocity
(m/s)
Mass Thrust-to-
weight ratio
(sea level)
(lb/lbf·h) (g/kN·s)
Avio P80 solid fuel rocket motor 2006 Vega first stage vacuum 13 360 280 2700 16,160 lb (7,330 kg) (Empty)
Avio Zefiro 23 solid fuel rocket motor 2006 Vega second stage vacuum 12.52 354.7 287.5 2819 4,266 lb (1,935 kg) (Empty)
Avio Zefiro 9A solid fuel rocket motor 2008 Vega third stage vacuum 12.20 345.4 295.2 2895 1,997 lb (906 kg) (Empty)
RD-843 liquid fuel rocket engine Vega upper stage vacuum 11.41 323.2 315.5 3094 35.1 lb (15.93 kg) (Dry)
Kouznetsov NK-33 liquid fuel rocket engine 1970s N-1F, Soyuz-2-1v first stage vacuum 10.9 308 331[49] 3250 2,730 lb (1,240 kg) (Dry) 136.8
NPO Energomash RD-171M liquid fuel rocket engine Zenit-2M, Zenit-3SL, Zenit-3SLB, Zenit-3F first stage vacuum 10.7 303 337 3300 21,500 lb (9,750 kg) (Dry) 79.57
LE-7A liquid fuel rocket engine H-IIA, H-IIB first stage vacuum 8.22 233 438 4300 4,000 lb (1,800 kg) (Dry) 62.2
Snecma HM-7B cryogenic rocket engine Ariane 2, Ariane 3, Ariane 4, Ariane 5 ECA upper stage vacuum 8.097 229.4 444.6 4360 364 lb (165 kg) (Dry) 43.25
LE-5B-2 cryogenic rocket engine H-IIA, H-IIB upper stage vacuum 8.05 228 447 4380 640 lb (290 kg) (Dry) 51.93
Aerojet Rocketdyne RS-25 cryogenic rocket engine 1981 Space Shuttle, SLS first stage vacuum 7.95 225 453[50] 4440 7,004 lb (3,177 kg) (Dry) 53.79
Aerojet Rocketdyne RL-10B-2 cryogenic rocket engine Delta III, Delta IV, SLS upper stage vacuum 7.734 219.1 465.5 4565 664 lb (301 kg) (Dry) 37.27
Ramjet Mach 1 4.5 130 800 7800
Turbo-Union RB.199-34R-04 Mk.103 turbofan Tornado IDS GR.1/GR.1A/GR.1B/GR.4 static sea level (Reheat) 2.5[51] 70.8 1440 14120 2,107 lb (956 kg) (Dry) 7.59
GE F101-GE-102 turbofan 1970s B-1B static sea level (Reheat) 2.46 70 1460 14400 4,400 lb (2,000 kg) (Dry) 7.04
Tumansky R-25-300 turbojet MIG-21bis static sea level (Reheat) 2.206[51] 62.5 1632 16000 2,679 lb (1,215 kg) (Dry) 5.6
GE J85-GE-21 turbojet F-5E/F static sea level (Reheat) 2.13[51] 60.3 1690 16570 640 lb (290 kg) (Dry) 7.81
GE F110-GE-132 turbofan F-16E/F Block 60 or -129 upgrade static sea level (Reheat) 2.09[51] 59.2 1722 16890 4,050 lb (1,840 kg) (Dry) 7.9
Honeywell/ITEC F125-GA-100 turbofan F-CK-1 static sea level (Reheat) 2.06[51] 58.4 1748 17140 1,360 lb (620 kg) (Dry) 6.8
Snecma M53-P2 turbofan Mirage 2000C/D/N/H/TH/-5/-9/retrofit static sea level (Reheat) 2.05[51] 58.1 1756 17220 3,307 lb (1,500 kg) (Dry) 6.46
Snecma Atar 09C turbojet Mirage IIIE/EX/O(A)/O(F)/M, Mirage IV prototype static sea level (Reheat) 2.03[51] 57.5 1770 17400 3,210 lb (1,456 kg) (Dry) 4.13
Snecma Atar 09K-50 turbojet Mirage IV, Mirage 50, Mirage F1 static sea level (Reheat) 1.991[51] 56.4 1808 17730 3,487 lb (1,582 kg) (Dry) 4.55
GE J79-GE-15 turbojet F-4E/EJ/F/G, RF-4E static sea level (Reheat) 1.965 55.7 1832 17970 3,850 lb (1,750 kg) (Dry) 4.6
Saturn AL-31F turbofan Su-27/P/K static sea level (Reheat) 1.96[52] 55.5 1837 18010 3,350 lb (1,520 kg) (Dry) 8.22
J-58 turbojet 1958 SR-71 at Mach 3.2 (Reheat) 1.9[51] 53.8 1895 18580 6,000 lb (2,700 kg) (Dry)
GE F110-GE-129 turbofan F-16C/D/V Block 50/70, F-15K/S/SA/SG/EX static sea level (Reheat) 1.9[51] 53.8 1895 18580 3,980 lb (1,810 kg) (Dry) 7.36
Soloviev D-30F6 turbofan MiG-31, S-37/Su-47 static sea level (Reheat) 1.863[51] 52.8 1932 18950 5,326 lb (2,416 kg) (Dry) 7.856
Lyulka AL-21F-3 turbojet Su-17M/UM/M2/M2D/UM3/M3/M4, Su-22U/M3/M4 static sea level (Reheat) 1.86[51] 52.7 1935 18980 3,790 lb (1,720 kg) (Dry) 5.61
Klimov RD-33 turbofan 1974 MiG-29 static sea level (Reheat) 1.85 52.4 1946 19080 2,326 lb (1,055 kg) (Dry) 7.9
Saturn AL-41F-1S turbofan Su-35S/T-10BM static sea level (Reheat) 1.819 51.5 1979 19410 3,536 lb (1,604 kg) (Dry) 8.75-9.04
Volvo RM12 turbofan 1978 Gripen A/B/C/D static sea level (Reheat) 1.78[51] 50.4 2022 19830 2,315 lb (1,050 kg) (Dry) 7.82
GE F404-GE-402 turbofan F/A-18C/D static sea level (Reheat) 1.74[51] 49 2070 20300 2,282 lb (1,035 kg) (Dry) 7.756
Kuznetsov NK-32 turbofan 1980 Tu-144LL, Tu-160 static sea level (Reheat) 1.7 48 2100 21000 7,500 lb (3,400 kg) (Dry) 7.35
Snecma M88-2 turbofan 1989 Rafale static sea level (Reheat) 1.663 47.11 2165 21230 1,978 lb (897 kg) (Dry) 8.52
Eurojet EJ200 turbofan 1991 Eurofighter, Bloodhound LSR prototype static sea level (Reheat) 1.66–1.73 47–49[53] 2080–2170 20400–21300 2,180.0 lb (988.83 kg) (Dry) 9.17
GE J85-GE-21 turbojet F-5E/F static sea level (Dry) 1.24[51] 35.1 2900 28500 640 lb (290 kg) (Dry) 5.625
RR/Snecma Olympus 593 turbojet 1966 Concorde at Mach 2 cruise (Dry) 1.195[54] 33.8 3010 29500 7,000 lb (3,175 kg) (Dry)
Snecma Atar 09C turbojet Mirage IIIE/EX/O(A)/O(F)/M, Mirage IV prototype static sea level (Dry) 1.01[51] 28.6 3560 35000 3,210 lb (1,456 kg) (Dry) 2.94
Snecma Atar 09K-50 turbojet Mirage IV, Mirage 50, Mirage F1 static sea level (Dry) 0.981[51] 27.8 3670 36000 3,487 lb (1,582 kg) (Dry) 2.35
Snecma Atar 08K-50 turbojet Super Étendard static sea level 0.971[51] 27.5 3710 36400 2,568 lb (1,165 kg) (Dry)
Tumansky R-25-300 turbojet MIG-21bis static sea level (Dry) 0.961[51] 27.2 3750 36700 2,679 lb (1,215 kg) (Dry)
Lyulka AL-21F-3 turbojet Su-17M/UM/M2/M2D/UM3/M3/M4, Su-22U/M3/M4 static sea level (Dry) 0.86 24.4 4190 41100 3,790 lb (1,720 kg) (Dry) 3.89
GE J79-GE-15 turbojet F-4E/EJ/F/G, RF-4E static sea level (Dry) 0.85 24.1 4240 41500 3,850 lb (1,750 kg) (Dry) 2.95
Snecma M53-P2 turbofan Mirage 2000C/D/N/H/TH/-5/-9/retrofit static sea level (Dry) 0.85[51] 24.1 4240 41500 3,307 lb (1,500 kg) (Dry) 4.37
Volvo RM12 turbofan 1978 Gripen A/B/C/D static sea level (Dry) 0.824[51] 23.3 4370 42800 2,315 lb (1,050 kg) (Dry) 5.244
RR Turbomeca Adour Mk 106 turbofan 1999 Jaguar retrofit static sea level (Dry) 0.81 23 4400 44000 1,784 lb (809 kg) (Dry) 4.725
Honeywell/ITEC F124-GA-100 turbofan 1979 L-159, X-45 static sea level 0.81[51] 22.9 4440 43600 1,050 lb (480 kg) (Dry) 5.3
Honeywell/ITEC F125-GA-100 turbofan F-CK-1 static sea level (Dry) 0.8[51] 22.7 4500 44100 1,360 lb (620 kg) (Dry) 4.43
PW JT8D-9 turbofan 737 Original cruise 0.8[55] 22.7 4500 44100 3,205–3,402 lb (1,454–1,543 kg) (Dry)
PW J52-P-408 turbojet A-4M/N, TA-4KU, EA-6B static sea level 0.79 22.4 4560 44700 2,318 lb (1,051 kg) (Dry) 4.83
Saturn AL-41F-1S turbofan Su-35S/T-10BM static sea level (Dry) 0.79 22.4 4560 44700 3,536 lb (1,604 kg) (Dry) 5.49
Snecma M88-2 turbofan 1989 Rafale static sea level (Dry) 0.782 22.14 4600 45100 1,978 lb (897 kg) (Dry) 5.68
Klimov RD-33 turbofan 1974 MiG-29 static sea level (Dry) 0.77 21.8 4680 45800 2,326 lb (1,055 kg) (Dry) 4.82
RR Pegasus 11-61 turbofan AV-8B+ static sea level 0.76 21.5 4740 46500 3,960 lb (1,800 kg) (Dry) 6
Eurojet EJ200 turbofan 1991 Eurofighter, Bloodhound LSR prototype static sea level (Dry) 0.74–0.81 21–23[53] 4400–4900 44000–48000 2,180.0 lb (988.83 kg) (Dry) 6.11
GE F414-GE-400 turbofan 1993 F/A-18E/F static sea level (Dry) 0.724[56] 20.5 4970 48800 2,445 lb (1,109 kg) (Dry) 5.11
Kuznetsov NK-32 turbofan 1980 Tu-144LL, Tu-160 static sea level (Dry) 0.72-0.73 20–21 4900–5000 48000–49000 7,500 lb (3,400 kg) (Dry) 4.06[51]
Honeywell ALF502R-5 geared turbofan BAe 146-100/200/200ER/300 cruise 0.72[57] 20.4 5000 49000 1,336 lb (606 kg) (Dry) 5.22
Soloviev D-30F6 turbofan MiG-31, S-37/Su-47 static sea level (Dry) 0.716[51] 20.3 5030 49300 5,326 lb (2,416 kg) (Dry) 3.93
Snecma Turbomeca Larzac 04-C6 turbofan 1972 Alpha Jet static sea level 0.716 20.3 5030 49300 650 lb (295 kg) (Dry) 4.567
Soloviev D-30KP-2 turbofan Il-76MD/MDK/SK/VPK, Il-78/M cruise 0.715 20.3 5030 49400 5,820 lb (2,640 kg) (Dry) 5.21
Soloviev D-30KU-154 turbofan Tu-154M cruise 0.705 20.0 5110 50100 5,082 lb (2,305 kg) (Dry) 4.56
Ishikawajima-Harima F3-IHI-30 turbofan 1981 Kawasaki T-4 static sea level 0.7 19.8 5140 50400 750 lb (340 kg) (Dry) 4.9
RR Tay RB.183-3 Mk.620-15 turbofan 1984 Fokker 70, Fokker 100 cruise 0.69 19.5 5220 51200 3,185 lb (1,445 kg) (Dry) 4.2
GE CF34-3 turbofan 1982 CRJ100/200, CL600 series, CL850 cruise 0.69 19.5 5220 51200 1,670 lb (760 kg) (Dry) 5.52
GE CF34-8E turbofan E170/175 cruise 0.68 19.3 5290 51900 2,600 lb (1,200 kg) (Dry) 5.6
Honeywell TFE731-60 geared turbofan Falcon 900EX/DX/LX, VC-900 cruise 0.679[58] 19.2 5300 52000 988 lb (448 kg) (Dry) 5.06
CFM CFM56-2C1 turbofan DC-8 Super 70 cruise 0.671[57] 19.0 5370 52600 4,635 lb (2,102 kg) (Dry) 4.746
GE CF34-8C turbofan CRJ700/900/1000 cruise 0.67-0.68 19 5300–5400 52000–53000 2,400–2,450 lb (1,090–1,110 kg) (Dry) 5.7-6.1
CFM CFM56-3C1 turbofan 737 Classic cruise 0.667 18.9 5400 52900 4,308–4,334 lb (1,954–1,966 kg) (Dry) 5.46
Saturn AL-31F turbofan Su-27/P/K static sea level (Dry) 0.666-0.78[52][56] 18.9–22.1 4620–5410 45300–53000 3,350 lb (1,520 kg) (Dry) 4.93
RR Spey RB.168 Mk.807 turbofan AMX static sea level 0.66[51] 18.7 5450 53500 2,417 lb (1,096 kg) (Dry) 4.56
CFM CFM56-2A2 turbofan 1974 E-3D, KE-3A, E-6A/B cruise 0.66[59] 18.7 5450 53500 4,819 lb (2,186 kg) (Dry) 4.979
RR BR725 turbofan 2008 G650/ER cruise 0.657 18.6 5480 53700 3,605 lb (1,635.2 kg) (Dry) 4.69
CFM CFM56-2B1 turbofan KC-135R/T, C-135FR, RC-135RE cruise 0.65[59] 18.4 5540 54300 4,672 lb (2,119 kg) (Dry) 4.7
GE CF34-10A turbofan ARJ21 cruise 0.65 18.4 5540 54300 3,700 lb (1,700 kg) (Dry) 5.1
CFE CFE738-1-1B turbofan 1990 Falcon 2000 cruise 0.645[57] 18.3 5580 54700 1,325 lb (601 kg) (Dry) 4.32
RR BR710 turbofan 1995 C-37, Gulfstream V, G550, E-11, Project Dolphin, Saab Swordfish, Global Express/XRS, Global 5000/6000, Raytheon Sentinel, GlobalEye (original) cruise 0.64 18 5600 55000 4,009 lb (1,818.4 kg) (Dry) 3.84
GE F110-GE-129 turbofan F-16C/D/V Block 50/70, F-15K/S/SA/SG/EX static sea level (Dry) 0.64[56] 18 5600 55000 3,980 lb (1,810 kg) (Dry) 4.27
GE F110-GE-132 turbofan F-16E/F Block 60 or -129 upgrade static sea level (Dry) 0.64[56] 18 5600 55000 4,050 lb (1,840 kg) (Dry)
GE CF34-10E turbofan E190/195, Lineage 1000 cruise 0.64 18 5600 55000 3,700 lb (1,700 kg) (Dry) 5.2
Turbo-Union RB.199-34R-04 Mk.105 turbofan Tornado ECR static sea level (Dry) 0.637[51] 18.0 5650 55400 2,160 lb (980 kg) (Dry) 4.47
CFM CF6-50C2 turbofan A300B2-203/B4-2C/B4-103/103F/203/203F/C4-203/F4-203, DC-10-30/F/CF, KC-10A cruise 0.63[57] 17.8 5710 56000 8,731 lb (3,960 kg) (Dry) 6.01
PowerJet SaM146-1S18 turbofan Superjet LR cruise 0.629 17.8 5720 56100 4,980 lb (2,260 kg) (Dry) 3.5
CFM CFM56-7B24 turbofan 737-700/800/900 cruise 0.627[57] 17.8 5740 56300 5,216 lb (2,366 kg) (Dry) 4.6
RR BR715 turbofan 1997 717 cruise 0.62 17.6 5810 56900 4,597 lb (2,085 kg) (Dry) 4.55-4.68
PW F119-PW-100 turbofan 1992 F-22 static sea level (Dry) 0.61[56] 17.3 5900 57900 3,900 lb (1,800 kg) (Dry) 6.7
GE CF6-80C2-B1F turbofan 747-400 cruise 0.605[54] 17.1 5950 58400 9,499 lb (4,309 kg) 6.017
Turbo-Union RB.199-34R-04 Mk.103 turbofan Tornado IDS GR.1/GR.1A/GR.1B/GR.4 static sea level (Dry) 0.598[51] 16.9 6020 59000 2,107 lb (956 kg) (Dry) 4.32
CFM CFM56-5A1 turbofan A320-111/211 cruise 0.596 16.9 6040 59200 5,139 lb (2,331 kg) (Dry) 5
Aviadvigatel PS-90A1 turbofan Il-96-400/T cruise 0.595 16.9 6050 59300 6,500 lb (2,950 kg) (Dry) 5.9
PW PW2040 turbofan 757-200/200ET/200F, C-32 cruise 0.582[57] 16.5 6190 60700 7,185 lb (3,259 kg) 5.58
PW PW4098 turbofan 777-300 cruise 0.581[57] 16.5 6200 60800 36,400 lb (16,500 kg) (Dry) 5.939
GE CF6-80C2-B2 turbofan 767-200ER/300/300ER cruise 0.576[57] 16.3 6250 61300 9,388 lb (4,258 kg) 5.495
IAE V2525-D5 turbofan MD-90 cruise 0.574[60] 16.3 6270 61500 5,252 lb (2,382 kg) 4.76
IAE V2533-A5 turbofan A321-231 cruise 0.574[60] 16.3 6270 61500 5,139 lb (2,331 kg) 6.42
GE F101-GE-102 turbofan 1970s B-1B static sea level (Dry) 0.562 15.9 6410 62800 4,400 lb (2,000 kg) (Dry) 3.9
RR Trent 700 turbofan 1992 A330, A330 MRTT, Beluga XL cruise 0.562 15.9 6410 62800 13,580 lb (6,160 kg) (Dry) 4.97-5.24
RR Trent 800 turbofan 1993 777-200/200ER/300 cruise 0.560 15.9 6430 63000 13,400 lb (6,078 kg) (Dry) 5.7-6.9
Motor Sich Progress D-18T turbofan 1980 An-124, An-225 cruise 0.546 15.5 6590 64700 9,000 lb (4,100 kg) (Dry) 5.72
CFM CFM56-5B4 turbofan A320-214 cruise 0.545 15.4 6610 64800 5,412–5,513 lb (2,454.8–2,500.6 kg) (Dry) 5.14
CFM CFM56-5C2 turbofan A340-211 cruise 0.545 15.4 6610 64800 5,830 lb (2,644.4 kg) (Dry) 5.47
RR Trent 500 turbofan 1999 A340-500/600 cruise 0.542 15.4 6640 65100 11,000 lb (4,990 kg) (Dry) 5.07-5.63
CFM LEAP-1B turbofan 2014 737 MAX cruise 0.53-0.56 15–16 6400–6800 63000–67000 6,130 lb (2,780 kg) (Dry)
Aviadvigatel PD-14 turbofan 2014 MC-21-310 cruise 0.526 14.9 6840 67100 6,330 lb (2,870 kg) (Dry) 4.88
RR Trent 900 turbofan 2003 A380 cruise 0.522 14.8 6900 67600 13,770 lb (6,246 kg) (Dry) 5.46-6.11
PW TF33-P-3 turbofan B-52H, NB-52H static sea level 0.52[51] 14.7 6920 67900 3,900 lb (1,800 kg) (Dry) 4.36
GE GE90-85B turbofan 777-200/200ER cruise 0.52[57][61] 14.7 6920 67900 17,400 lb (7,900 kg) 5.59
GE GEnx-1B76 turbofan 2006 787-10 cruise 0.512[55] 14.5 7030 69000 2,658 lb (1,206 kg) (Dry) 5.62
PW PW1400G geared turbofan MC-21 cruise 0.51[62] 14 7100 69000 6,300 lb (2,857.6 kg) (Dry) 5.01
CFM LEAP-1C turbofan 2013 C919 cruise 0.51 14 7100 69000 8,662–8,675 lb (3,929–3,935 kg) (Wet)
CFM LEAP-1A turbofan 2013 A320neo family cruise 0.51[62] 14 7100 69000 6,592–6,951 lb (2,990–3,153 kg) (Wet)
RR Trent 7000 turbofan 2015 A330neo cruise 0.506 14.3 7110 69800 14,209 lb (6,445 kg) (Dry) 5.13
RR Trent 1000 turbofan 2006 787 cruise 0.506 14.3 7110 69800 13,087–13,492 lb (5,936–6,120 kg) (Dry)
RR Trent XWB-97 turbofan 2014 A350-1000 cruise 0.478 13.5 7530 73900 16,640 lb (7,550 kg) (Dry) 5.82
PW 1127G geared turbofan 2012 A320neo cruise 0.463[55] 13.1 7780 76300 6,300 lb (2,857.6 kg) (Dry)
RR AE 3007H turbofan RQ-4, MQ-4C static sea level 0.39[51] 11.0 9200 91000 1,581 lb (717 kg) (Dry) 5.24
GE F118-GE-100 turbofan 1980s B-2A Block 30 static sea level 0.375[51] 10.6 9600 94000 3,200 lb (1,500 kg) (Dry) 5.9
GE F118-GE-101 turbofan 1980s U-2S static sea level 0.375[51] 10.6 9600 94000 3,150 lb (1,430 kg) (Dry) 6.03
CFM CF6-50C2 turbofan A300B2-203/B4-2C/B4-103/103F/203/203F/C4-203/F4-203, DC-10-30/30F/30F(CF), KC-10A static sea level 0.371[51] 10.5 9700 95000 8,731 lb (3,960 kg) (Dry) 6.01
GE TF34-GE-100 turbofan A-10A, OA-10A, YA-10B static sea level 0.37[51] 10.5 9700 95000 1,440 lb (650 kg) (Dry) 6.295
CFM CFM56-2B1 turbofan KC-135R/T, C-135FR, RC-135RE static sea level 0.36[59] 10 10000 98000 4,672 lb (2,119 kg) (Dry) 4.7
Motor Sich Progress D-18T turbofan 1980 An-124, An-225 static sea level 0.345 9.8 10400 102000 9,000 lb (4,100 kg) (Dry) 5.72
PW F117-PW-100 turbofan C-17 static sea level 0.34[57] 9.6 10600 104000 7,100 lb (3,200 kg) 5.41-6.16
PW PW2040 turbofan 757-200/200ET/200F, C-32 static sea level 0.33[57] 9.3 10900 107000 7,185 lb (3,259 kg) 5.58
CFM CFM56-3C1 turbofan 737 Classic static sea level 0.33 9.3 11000 110000 4,308–4,334 lb (1,954–1,966 kg) (Dry) 5.46
GE CF6-80C2 turbofan 747-400, 767, KC-767, MD-11, A300-600R/600F, A310-300, A310 MRTT, Beluga, C-5M, Kawasaki C-2 static sea level 0.307-0.344 8.7–9.7 10500–11700 103000–115000 9,480–9,860 lb (4,300–4,470 kg)
EA GP7270 turbofan A380-861 static sea level 0.299[56] 8.5 12000 118000 14,797 lb (6,712 kg) (Dry) 5.197
GE GE90-85B turbofan 777-200/200ER/300 static sea level 0.298[56] 8.44 12080 118500 17,400 lb (7,900 kg) 5.59
GE GE90-94B turbofan 777-200/200ER/300 static sea level 0.2974[56] 8.42 12100 118700 16,644 lb (7,550 kg) 5.59
RR Trent 970-84 turbofan 2003 A380-841 static sea level 0.295[56] 8.36 12200 119700 13,825 lb (6,271 kg) (Dry) 5.436
GE GEnx-1B70 turbofan 787-8 static sea level 0.2845[56] 8.06 12650 124100 13,552 lb (6,147 kg) (Dry) 5.15
RR Trent 1000C turbofan 2006 787-9 static sea level 0.273[56] 7.7 13200 129000 13,087–13,492 lb (5,936–6,120 kg) (Dry)

Thrust-to-weight ratio[edit]

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[63][64] 2,000 4,400 35.2 7,900 1.8
J58 jet engine (SR-71 Blackbird)[65][66] 2,722 6,001 150 34,000 5.2
Rolls-Royce/Snecma Olympus 593
turbojet with reheat (Concorde)[67]
3,175 7,000 169.2 38,000 5.4
Pratt & Whitney F119[68] 1,800 3,900 91 20,500 7.95
RD-0750 rocket engine, three-propellant mode[69] 4,621 10,188 1,413 318,000 31.2
RD-0146 rocket engine[70] 260 570 98 22,000 38.4
Rocketdyne RS-25 rocket engine[71] 3,177 7,004 2,278 512,000 73.1
RD-180 rocket engine[72] 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)[73] 8,391 18,499 7,740.5 1,740,100 94.1
NK-33 rocket engine[74] 1,222 2,694 1,638 368,000 136.7
Merlin 1D rocket engine, full-thrust version [75] 467 1,030 825 185,000 180.1

Comparison of types[edit]

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.[76]

The net thrust (FN) generated by a turbofan can also be expanded as:[77]

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.[78]

Altitude and speed[edit]

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.[79] 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[edit]

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.[80]

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.[81] 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.[82] 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).[83]

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.[84]

Cooling[edit]

Adequate heat transfer away from the working parts of the jet engine is critical to maintaining strength of engine materials and ensuring long life for the engine.

After 2016, research is ongoing in the development of transpiration cooling techniques to jet engine components.[85]

Operation[edit]

In a jet engine, each major rotating section usually has a separate gauge devoted to monitoring its speed of rotation. Depending on the make and model, a jet engine may have an N1 gauge that monitors the low-pressure compressor section and/or fan speed in turbofan engines. The gas generator section may be monitored by an N2 gauge, while triple spool engines may have an N3 gauge as well. Each engine section rotates at many thousands RPM. Their gauges therefore are calibrated in percent of a nominal speed rather than actual RPM, for ease of display and interpretation.[86]

See also[edit]

References[edit]

  1. ^ "Jet Engine - SKYbrary Aviation Safety". www.skybrary.aero. Retrieved 2019-11-17.
  2. ^ "Flight Operations Briefing Notes – Supplementary Techniques : Handling Engine Malfunctions" (PDF). Airbus. Archived from the original (PDF) on 2016-10-22.
  3. ^ a b Hendrickson, Kenneth E. (2014). The Encyclopedia of the Industrial Revolution in World History. Rowman & Littlefield. p. 488. ISBN 9780810888883.
  4. ^ Taqi al-Din and the First Steam Turbine, 1551 A.D. Archived 2008-02-18 at the Wayback Machine, web page, accessed on line October 23, 2009; this web page refers to Ahmad Y Hassan (1976), Taqi al-Din and Arabic Mechanical Engineering, pp. 34–5, Institute for the History of Arabic Science, University of Aleppo.
  5. ^ CME: The Chartered Mechanical Engineer. Institution of Mechanical Engineers. 1978. p. 84.
  6. ^ propeller efficiency Archived May 25, 2008, at the Wayback Machine
  7. ^ 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". Volume 2: Turbo Expo 2004. pp. 83–88. doi:10.1115/GT2004-53211. ISBN 978-0-7918-4167-9.
  8. ^ "Espacenet - Original document". worldwide.espacenet.com.
  9. ^ "Who really invented the jet engine?". BBC Science Focus Magazine. Retrieved 2019-10-18.
  10. ^ "Chasing the Sun – Frank Whittle". PBS. Retrieved 2010-03-26.
  11. ^ "History – Frank Whittle (1907–1996)". BBC. Retrieved 2010-03-26.
  12. ^ "Espacenet - Original document". worldwide.espacenet.com.
  13. ^ 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).
  14. ^ Warsitz, Lutz: The First Jet Pilot – The Story of German Test Pilot Erich Warsitz (p. 125), Pen and Sword Books Ltd., England, 2009
  15. ^ "ch. 10-3". Hq.nasa.gov. Retrieved 2010-03-26.
  16. ^ 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 978-1-56347-779-9.
  17. ^ Mattingly, pp. 6–8
  18. ^ Mattingly, pp. 9–11
  19. ^ Mattingly, p. 14
  20. ^ *Flack, Ronald D. (2005). Fundamentals of Jet Propulsion with Applications. Cambridge Aerospace Series. New York: Cambridge University Press. p. 16. ISBN 978-0-521-81983-1.
  21. ^ 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)
  22. ^ Jet propulsion, Collins online dictionary definition. (retrieved 1 July 2018)
  23. ^ AC Kermode; Mechanics of Flight, 8th Edition, Pitman 1972, pp. 128–31.
  24. ^ "Rocket Thrust Equation". Grc.nasa.gov. 2008-07-11. Retrieved 2010-03-26.
  25. ^ Jet Propulsion for Aerospace Applications Second Edition 1964, Hesse and Mumford, Pitman Publishing Corporation, LCCN 64-18757, p. 48
  26. ^ "Jet Propulsion" Nicholas Cumpsty 1997, Cambridge University Press, ISBN 0-521-59674-2, p. 197
  27. ^ "AEHS Conventions 1". www.enginehistory.org.
  28. ^ Gamble, Eric; Terrell, Dwain; DeFrancesco, Richard. 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. American Institute of Aeronautics and Astronautics. doi:10.2514/6.2004-3923 – via American Institute of Aeronautics and Astronautics.
  29. ^ Design For Air Combat" Ray Whitford Jane's Publishing Company Ltd. 1987, ISBN 0-7106-0426-2, p. 203
  30. ^ "Jet Propulsion" Nicholas Cumpsty 1997, Cambridge University Press, ISBN 0-521-59674-2, p. 141
  31. ^ Gas Turbine Performance Deterioration, Meher-Homji, Chaker and Motiwala, Proceedings Of The 30th Turbomachinery Symposium, ASME, pp. 139–75
  32. ^ "Jet Propulsion' Nicholas Cumpsty, Cambridge University Press 2001, ISBN 0-521-59674-2, Figure 9.1 shows losses with incidence
  33. ^ "Jet Propulsion' Nicholas Cumpsty, Cambridge University Press 2001, ISBN 0-521-59674-2, p. 35
  34. ^ Gas Turbine Performance' Second Edition, Walsh and Fletcher, Blackwell Science Ltd., ISBN 0-632-06434-X, p. 64
  35. ^ "Jet Propulsion' Nicholas Cumpsty, Cambridge University Press 2001, ISBN 0-521-59674-2, p. 26
  36. ^ "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
  37. ^ 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
  38. ^ "Design For Air Combat" Ray Whitford, Jane's Publishing Company Limited 1987, ISBN 0-7106-0426-2, p. 203 'Area ratio for optimum expansion'
  39. ^ Gas Turbine Performance' Second Edition, Walsh and Fletcher, Blackwell Science Ltd., ISBN 0-632-06535-4, p. 305
  40. ^ Aero engine development for the future, Bennett, Proc Instn Mech Engrs Vol 197A, IMechE July 1983, Fig.5 Overall spectrum of engine losses
  41. ^ Gas Turbine Theory Second Edition, Cohen, Rogers and Saravanamuttoo, Longman Group Limited 1972, ISBN 0-582-44927-8, p.
  42. ^ Aero engine development for the future, Bennett, Proc Instn Mech Engrs Vol 197A, IMechE July 1983, p. 150
  43. ^ 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.
  44. ^ "Jet Propulsion for Aerospace Applications' Second Edition, Hesse and Mumford, Piman Publishing Corporation 1964, LCCN 64-18757, p. 39
  45. ^ "Jet Propulsion" Nicholas Cumpsty ISBN 0-521-59674-2 p. 24
  46. ^ George P. Sutton and Oscar Biblarz (2001). Rocket Propulsion Elements (7th ed.). John Wiley & Sons. pp. 37–38. ISBN 978-0-471-32642-7.
  47. ^ 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.
  48. ^ Claire Soares, "Gas Turbines: A Handbook of Air, Land and Sea Applications", p. 140.
  49. ^ "NK33". Encyclopedia Astronautica.
  50. ^ "SSME". Encyclopedia Astronautica.
  51. ^ a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab ac ad ae af ag ah Nathan Meier (21 Mar 2005). "Military Turbojet/Turbofan Specifications".
  52. ^ a b https://www.airinternational.com/article/flanker
  53. ^ a b "EJ200 turbofan engine" (PDF). MTU Aero Engines. April 2016.
  54. ^ a b Ilan Kroo. "Data on Large Turbofan Engines". Aircraft Design: Synthesis and Analysis. Stanford University.
  55. ^ a b c https://mediatum.ub.tum.de/doc/1283437/1283437.pdf
  56. ^ a b c d e f g h i j k https://ruomo.lib.uom.gr/bitstream/7000/534/1/Manuscript_DEA_Turbofan_Aero_Engines%20-%20OMEGA_2019_617_Accepted.pdf
  57. ^ a b c d e f g h i j k http://www.jet-engine.net/civtfspec.html
  58. ^ https://engineering.purdue.edu/~propulsi/propulsion/jets/tfans/tfe731.html
  59. ^ a b c http://elodieroux.com/ExempleEngines.pdf
  60. ^ a b Lloyd R. Jenkinson & al. (30 Jul 1999). "Civil Jet Aircraft Design: Engine Data File". Elsevier/Butterworth-Heinemann.
  61. ^ http://elodieroux.com/EditionsElodieRouxEngines.html
  62. ^ a b Vladimir Karnozov (August 19, 2019). "Aviadvigatel Mulls Higher-thrust PD-14s To Replace PS-90A". AIN Online.
  63. ^ Wade, Mark. "RD-0410". Encyclopedia Astronautica. Retrieved 2009-09-25.
  64. ^ "«Konstruktorskoe Buro Khimavtomatiky» - Scientific-Research Complex / RD0410. Nuclear Rocket Engine. Advanced launch vehicles". KBKhA - Chemical Automatics Design Bureau. Retrieved 2009-09-25.
  65. ^ "Aircraft: Lockheed SR-71A Blackbird". Archived from the original on 2012-07-29. Retrieved 2010-04-16.
  66. ^ "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.
  67. ^ "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
  68. ^ Military Jet Engine Acquisition, RAND, 2002.
  69. ^ "«Konstruktorskoe Buro Khimavtomatiky» - Scientific-Research Complex / RD0750". KBKhA - Chemical Automatics Design Bureau. Retrieved 2009-09-25.
  70. ^ Wade, Mark. "RD-0146". Encyclopedia Astronautica. Retrieved 2009-09-25.
  71. ^ SSME
  72. ^ "RD-180". Retrieved 2009-09-25.
  73. ^ Encyclopedia Astronautica: F-1
  74. ^ Astronautix NK-33 entry
  75. ^ 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.
  76. ^ 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.
  77. ^ "Turbofan Thrust". Archived from the original on 2010-12-04. Retrieved 2012-07-24.
  78. ^ "Microsoft PowerPoint – KTHhigspeed08.ppt" (PDF). Archived from the original (PDF) on 2009-09-29. Retrieved 2010-03-26.
  79. ^ "Scramjet". Orbitalvector.com. 2002-07-30. Archived from the original on 2016-02-12. Retrieved 2010-03-26.
  80. ^ "Softly, softly towards the quiet jet" Michael J. T. Smith New Scientist 19 February 1970 p. 350
  81. ^ "Silencing the sources of jet noise" Dr David Crighton New Scientist 27 July 1972 p. 185
  82. ^ "Noise" I.C. Cheeseman Flight International 16 April 1970 p. 639
  83. ^ "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
  84. ^ 'Quietening a Quiet Engine – The RB211 Demonstrator Programme" M.J.T. Smith SAE paper 760897 "Intake Noise Suppression" p. 5
  85. ^ Transpiration Cooling Systems for Jet Engine Turbines and Hypersonic Flight, accessed 30 January 2019.
  86. ^ "15 - Operating the Jet Engine". Airplane flying handbook (PDF). FAA. p. 3. ISBN 9781510712843. OCLC 992171581. This article incorporates public domain material from websites or documents of the Federal Aviation Administration.

Bibliography[edit]

  • Brooks, David S. (1997). Vikings at Waterloo: Wartime Work on the Whittle Jet Engine by the Rover Company. Rolls-Royce Heritage Trust. ISBN 978-1-872922-08-9.
  • Golley, John (1997). Genesis of the Jet: Frank Whittle and the Invention of the Jet Engine. Crowood Press. ISBN 978-1-85310-860-0.
  • Hill, Philip; Peterson, Carl (1992), Mechanics and Thermodynamics of Propulsion (2nd ed.), New York: Addison-Wesley, ISBN 978-0-201-14659-2
  • Kerrebrock, Jack L. (1992). Aircraft Engines and Gas Turbines (2nd ed.). Cambridge, MA: The MIT Press. ISBN 978-0-262-11162-1.

External links[edit]