Basic characteristics of rocket engines. Specific impulse of craving From craving for alcohol

Specific impulse or specific thrust is a measure of the efficiency of a rocket engine. Sometimes both terms are used interchangeably, meaning that they are, in fact, the same characteristic. Specific thrust is usually used in internal ballistics, while specific impulse is used in external ballistics. The dimension of specific impulse is the dimension of speed, in SI units it is meters per second.

Definitions

characteristic of a jet engine, equal to the ratio of the impulse it creates to the fuel consumption. The greater the specific impulse, the less fuel must be spent to obtain a certain amount of movement. Theoretically, the specific impulse is equal to the rate of exhaustion of combustion products; in fact, it may differ from it. Therefore, the specific impulse is also called the effective exhaust velocity.

Specific thrust is a characteristic of a jet engine, equal to the ratio of the thrust it creates to the mass fuel consumption. It is measured in meters per second and means, in this dimension, how many seconds a given engine can create a thrust of 1 N, having consumed 1 kg of fuel. In another interpretation, specific thrust is equal to the ratio of thrust to weight fuel consumption; in this case it is measured in seconds. To convert weight specific thrust into mass thrust, it must be multiplied by the acceleration of gravity.

The formula for approximate calculation of specific impulse for jet engines using chemical fuel is:

where T k is the gas temperature in the combustion chamber; p k and p a are the gas pressure in the combustion chamber and at the nozzle exit, respectively; y is the molecular weight of the gas in the combustion chamber; u is a coefficient characterizing the thermophysical properties of the gas in the chamber. As can be seen from the formula to a first approximation, the higher the gas temperature, the lower its molecular weight and the higher the pressure ratio in the RD chamber to the surrounding space, the higher the specific impulse.

Specific impulse

Specific impulse or specific thrust(English) specific impulse) is an indicator of the efficiency of a rocket engine. Sometimes both terms are used interchangeably, meaning that they are, in fact, the same characteristic. Specific thrust usually used in internal ballistics, while specific impulse- in external ballistics. The dimension of specific impulse is the dimension of speed, in the SI system of units it is meter per second.

Definitions

Specific impulse- characteristic of a jet engine, equal to the ratio of the impulse (amount of motion) it creates to the flow rate (usually mass, but can also be related, for example, to the weight or volume) of fuel. The greater the specific impulse, the less fuel must be spent to obtain a certain amount of movement. Theoretically, the specific impulse is equal to exhaust speed combustion products may actually differ from it. Therefore, specific impulse is also called effective (or equivalent) exhaust velocity.

Specific thrust- characteristic of a jet engine, equal to the ratio of the thrust it creates to the mass fuel consumption. It is measured in meters per second (m/s = N s/kg = kgf s/i.e.) and means, in this dimension, how many seconds a given engine can create a thrust of 1 N, while expending 1 kg fuel (or thrust of 1 kgf, having spent 1 t.e.m. of fuel). With another interpretation, the specific thrust is equal to the ratio of thrust to weight fuel consumption; in this case it is measured in seconds (s = N s/N = kgf s/kgf). To convert weight specific thrust into mass thrust, it must be multiplied by the acceleration of gravity (approximately equal to 9.81 m/s²).

Approximate calculation formula specific impulse(exhaust velocity) for chemical fuel jet engines looks like:

where T k is the gas temperature in the combustion (decomposition) chamber; p k and p a are the gas pressure in the combustion chamber and at the nozzle exit, respectively; y is the molecular weight of the gas in the combustion chamber; u is a coefficient characterizing the thermophysical properties of the gas in the chamber (usually u ≈ 15). As can be seen from the formula to a first approximation, the higher the temperature of the gas, the lower its molecular weight and the higher the ratio of pressures in the RD chamber to the surrounding space, the higher specific impulse .

Comparison of efficiency of different types of engines

Specific impulse is an important engine parameter characterizing its efficiency. This value is not directly related to the energy efficiency of the fuel and the thrust of the engine; for example, ion engines have very little thrust, but due to their high specific impulse are used as shunting engines in space technology.

  • One can note a humorous moment associated with this formula: since it does not have its own name, experts usually call it the “Y-formula” - in the film comedy “Operation “Y” and other adventures of Shurik”, students writing the conclusion of the formula on the floor of the corridor derive exactly this formula

See also

Notes


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See what “Specific impulse” is in other dictionaries:

    Rocket engine, an indicator of the efficiency of a rocket engine; identical to specific thrust (See Specific thrust) ... Great Soviet Encyclopedia

    specific thrust impulse of liquid propellant rocket engine (liquid rocket engine chambers)- specific impulse of the engine (chamber) The ratio of the thrust of the rocket engine (chamber of the rocket engine) to the mass consumption of fuel of the rocket engine (chamber of the rocket engine). Notes 1. The specific thrust impulse of the rocket engine (LPRE chamber) is measured in vacuum and on the ground. 2. The specific thrust impulse of the rocket engine (LPRE chamber) is equal to ...

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Specific thrust impulse

rocket engine, specific impulse of a rocket engine, is the ratio of the thrust of a rocket engine to the second mass flow rate of the working fluid (derivative of the thrust impulse by the consumed mass in a given time interval). Expressed in N(·)s/kg ​​= m/s. At the design operating mode of the engine, it coincides with the speed of the jet stream. Energy indicator of engine efficiency.

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"Specific thrust impulse" in books

From cravings to intoxication

From the book Conspiracies of a Siberian healer. Issue 37 author Stepanova Natalya Ivanovna

From the craving for intoxication They take the ties that were used to bind the legs of the deceased and lower them into the water. Water is spoken at midnight and given to the drinker. For treatment of women, the ritual is performed on women's days (Wednesday, Friday, Saturday); for the treatment of a drinking man - on men's days

From cravings for alcohol

From the book Conspiracies of a Siberian healer. Issue 31 author Stepanova Natalya Ivanovna

From cravings for alcohol From a letter: “I cured my son from drunkenness using your book, and he has not drunk for three years. Once, when talking with him, he told me that when he is in a company or at someone’s table at a birthday party or wedding, he doesn’t need alcohol for spirit, but when he

From cravings to drugs

author Stepanova Natalya Ivanovna

From craving for drugs In the old days, there were also lovers of drinking steamed hemp and poppy seeds. They dried certain types of mushrooms, mixed them with henbane and gradually became addicted to drugs. They treated such drug addicts with a bath, fasting, prayer and herbs. My grandmother knew a lot

From cravings to hops

From the book of 7000 conspiracies of a Siberian healer author Stepanova Natalya Ivanovna

From craving for hops This is a very strong conspiracy. They read it on the last day of a declining month. You need to go outside and, looking at the stars, say: God’s Heaven, God’s Throne, and God’s servant (name) always has a table set. Descend, stars, into his cup of mash, so that he doesn’t get drunk

Conspiracy against craving for wine

From the book Conspiracies of a Siberian healer. Issue 34 author Stepanova Natalya Ivanovna

Specific gravity

From the book Universal Encyclopedic Reference author Isaeva E. L.

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Specific gravity

TSB

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From the book Great Soviet Encyclopedia (UD) by the author TSB

Specific gravity

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Specific gravity The specific gravity of bile in portions A and C is usually 1008–1012, in portion B -

From cravings to drugs

From the book Great Protective Book of Health author Stepanova Natalya Ivanovna

From cravings for drugs In the old days, there were also lovers of drinking steamed hemp and poppy seeds. They dried certain types of mushrooms, mixed them with henbane and gradually became addicted to drugs. They treated such drug addicts with a bath, fasting, prayer and herbs. My grandmother knew a lot

Conspiracy against craving for wine

From the book of 1777 new conspiracies of a Siberian healer author Stepanova Natalya Ivanovna

Conspiracy from craving for wine Jesus Christ walked, carrying three candles, and just as these candles should not burn in hell, so God’s servant (name) should not grieve for the intoxicated. Mother of God, forbid (such and such) a slave to bring a cup of hops to his mouth, to take it in his hands, Help him not to think about the hops, not to yearn. One

4.2. Traction problem

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4.2. The problem of traction There are many projects for the colonization and terraforming of Mars, which popularizers and science journalists love to discuss. Quite often on television you can see films in which the landing of an expedition to Mars is presented

Rubber traction

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Rubber rods Rubber rods determine the power of a crossbow gun, and, naturally, for good power, you need good rubber bands. But how can you tell if they are? The material used to make rubber tubes is the result of a chemical process.

Chapter 19 TRACTION PROBLEM

From the book Battle for the Stars-2. Space Confrontation (Part II) author Pervushin Anton Ivanovich

Chapter 19 PROBLEM OF TRAFFIC Long-distance interplanetary expeditions and the problem of traction It is well known that today the basis of human space expansion is still liquid fuel rockets. However, available and promising liquid fuel rockets, to

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Rod design The rod between the front and rear legs is made of a rod with a 3 mm thread (see Fig. 11.10). The original design has a rod length of 132mm center to center. The rod is inserted into holes on the front and back legs of the robot and can be secured using

At the end of 2012, Yang Juan, a professor at the Chinese Academy of Sciences, presented a translation of her article describing a prototype of a unique electromagnetic rocket engine. On paper, it looks much more interesting than the ion engines available today, if only because it does not require the consumption of a working fluid, but this is the main reason for doubts. Just recently, one could only dream of this type of electric rocket engine.

Unlike all other types of rocket engines, here acceleration must be achieved due to directed microwave radiation. The fact that electromagnetic waves create pressure has been known since the time of Maxwell, but the description of the operating principles of EmDrive raises many questions.

Figuratively speaking, such an engine is similar to a microwave oven, to which a resonating cavity in the form of a closed truncated cone has been added. In theory, the emitted microwaves exert pressure on the internal cavity, which is not compensated in only one direction. This is how (according to Ms. Juan) EmDrive develops jet thrust.

Unfortunately, this operating principle of EmDrive raises many doubts and is reminiscent of the sad experience of installing an experimental “propulsion device without jet mass ejection” on the Yubileiny satellite in 2008.

The good news is that EmDrive at least does not belong to the notorious inertioids - a type of device whose operation without interaction with the external environment is impossible. Doubts also apply to most of the stated characteristics. In addition to the fact that, in comparison with the best ion engines, EmDrive promises to provide a longer service life, it is declared to be approximately ten times less mass with the same power and greater (720 mN) thrust. For more information about the history of EmDrive development, see the article by Evgeny Zolotov.

During deep space exploration, energy for EmDrive will most likely be generated by conventional RTG modules. In the inner region of the Solar System (conventionally, up to the main asteroid belt), we can limit ourselves to solar batteries. The battery life of a spacecraft with an electromagnetic engine and solar batteries will be practically limited only by wear and tear, since it has no consumable components on board.



=====Ion and plasma engines =====

Unlike chemical jet engines, ion engines do not produce the sudden and very spectacular release of hot gases, which, in fact, propel traditional rockets. Their thrust is usually measured not in tons, but in grams. If such an engine on Earth is placed on a table, it will not have enough strength to move. But whatever these engines lack in thrust, they more than make up for in runtime; in the vacuum of outer space they can work for years.

A typical ion engine resembles the inside of a television tube - a kinescope. An electric current heats up the filament, which in turn creates a stream of ionized atoms, such as xenon, which are then ejected through the nozzle. Instead of a jet of hot, explosive gas, the ion engine emits a weak but constant stream of ions.

Recently, as part of the HyperV project, funds were raised through Kickstarter to improve the pulsed plasma engine. Almost any gases will work as a working fluid. The engine itself promises to be much cheaper to manufacture and operate than existing analogues.

The main advantage is versatility. By adjusting the ratio of thrust to specific impulse, one engine can be used for different tasks.

Plasma engine is a more powerful version of ionic. An example of such an engine is VASIMR (variable specific impulse magnetoplasma rocket - magnetoplasma rocket with variable specific impulse); It uses a powerful plasma stream to accelerate in space. This engine was developed by astronaut and engineer Franklin Chang-Diaz. The hydrogen in it is heated to temperatures of several million degrees using radio waves and magnetic fields. The very hot plasma is then ejected through the rocket nozzle, generating significant thrust. On Earth, prototypes of such engines have already been created and tested, but none of them have yet flown into space. Some developments propose using solar energy to heat the plasma in the engine. Others propose using the energy of nuclear decay (this, of course, raises additional safety problems - after all, a large amount of nuclear materials will have to be sent into space, and spacecraft are subject to all sorts of accidents).

But neither the ion nor the plasma engine is strong enough to take us to the stars. This will require jet engines based on completely different principles. One of the major problems in developing a starship is the enormous amount of fuel required to travel even to the nearest star, and the long period of time that this journey will require.

Theoretically gigantic solar sail can reach speeds up to half the speed of light. A ship with such a sail would only take about eight years to reach the nearest stars. The mover based on this principle is also good because all its principles are already known. To create it, it is not necessary to discover new physical laws. But other problems arise in full force - both economic and technical. The construction of a sail several hundred kilometers across, as well as the construction of thousands of powerful lasers on the Moon, represent a very serious engineering problem - and the technologies necessary to implement the project may not appear any time soon. (The main problem of an interstellar solar sail is returning. To bring the ship back to Earth, you will have to build a second battery of lasers on the moon near the target star. Or perform a rapid gravitational maneuver near this star, which will help gain speed for the return journey. Then lasers on the Moon sails can be used to slow down so that the ship can safely land on Earth.)

=====Direct-flow fusion engine =====

There is more than enough hydrogen in the universe, so a ship with such an engine could collect hydrogen. e. fuel - along the way, during movement in outer space. Essentially, such an engine would have an inexhaustible and always available source of fuel. The collected hydrogen would then be heated to several million degrees—enough for nuclear fusion—and release energy.

The principle of a ramjet nuclear engine was proposed in 1960 by physicist Robert Bussard; Later, Carl Sagan also popularized it. Bussard calculated that a ramjet fusion engine weighing about 1000 tons could theoretically maintain a constant acceleration of 1 g, i.e. comparable to the effect of earth's gravity. Let's imagine that this acceleration is maintained throughout the year. During this time, the ship will accelerate to 77% of the speed of light; this is already quite enough to seriously consider the prospects of interstellar travel.

The results of these studies turned out to be highly controversial. The missiles turned out to be extremely complex, and tests often ended in failure. Very strong vibrations arose in the nuclear engine, the shells of the fuel assemblies burst, and the rocket fell apart. Another ongoing problem was corrosion due to the burning of hydrogen at high temperatures. Ultimately, in 1972, the Nuclear Missile Program was closed.

=====Pulse nuclear engine =====

Another theoretical possibility is to use a series of nuclear mini-bombs as propulsion. For example, the Orion project involved sequentially releasing small thermonuclear bombs behind the ship so that it could “ride” the shock wave from their explosions. Theoretically, such a system could accelerate a spacecraft to speeds close to the speed of light.

In the late 1950s and 1960s. Careful calculations were carried out for an interstellar ship based on this principle. According to estimates, he could fly to Pluto and back in a year, reaching a speed of 10% of the speed of light. But even at this speed, it would take 44 years to fly to the nearest star. Scientists considered options when a space ark with such a propulsion device would fly in space for several centuries; generations would change in the crew, and many would have to live their entire lives in this moving little world so that their descendants could reach nearby stars.

In 1959, General Atomics released a report in which it assessed the size of the Orion-class spacecraft. The largest version, called “super-Orion” in the report, was supposed to weigh 8 million tons, have a diameter of 400 m and ride on the shock wave of more than a thousand hydrogen bombs.

The main problem associated with this project is the possibility of contamination of the launch area with nuclear fallout. Dyson estimates that nuclear fallout from each launch could cause fatal cancer in up to ten people. In addition, the electromagnetic pulse from the explosion is so large that it would certainly cause a lot of short circuits in nearby electrical systems.

The rocket ship of the Daedalus project turned out to be so huge that it would have to be built in outer space. It was supposed to weigh 54,000 tons (almost all the weight was rocket fuel) and could accelerate to 7.1% of the speed of light, carrying a payload weighing 450 tons. Unlike the Orion project, designed to use tiny atomic bombs, The Daedalus project involved the use of miniature hydrogen bombs with a mixture of deuterium and helium-3 and an ignition system using electron beams. But huge technical problems and concerns about nuclear propulsion meant that the Daedalus project was also shelved indefinitely.

The Longshot project looked more realistic and was based on the use of a laser-fusion engine. The star chosen was Alpha Centauri B. The flight time increased to a century, and the mission did not involve return. Unlike the Daedalus project, Longshot relied primarily on existing rather than emerging technologies. At the last stage, it became obvious that the ship would need about 264 tons of a mixture of helium-3 and deuterium, which could not be obtained in such quantities at a reasonable cost.

Space elevator

The problem is that the cable for a space elevator would have to withstand a tension of about 60-100 GPa. Steel breaks at about 2 GPa of tension, which defeats the purpose of the idea. According to scientists, carbon nanotube fiber should withstand pressure of 120 GPa, which is noticeably higher than the required minimum. After this discovery, attempts to create a space elevator resumed with renewed vigor.

=====From a gun to the skies =====

Another clever way to launch a ship into space and accelerate it to fantastic speeds is to shoot it from a rail-mounted electromagnetic “gun”, which was described in the works of Arthur Clarke and other science fiction authors. The project is currently being seriously considered as a possible part of the Star Wars missile defense shield.

The method is to use electromagnetism energy to accelerate the rocket to high speeds instead of rocket fuel or gunpowder.

In its simplest form, a rail gun consists of two parallel wires or rails; the missile, or missile, "sits" on both rails, forming a U-shaped configuration. Michael Faraday also knew that a force acts on a frame with an electric current in a magnetic field. (Generally speaking, all electric motors operate on this principle.) If you pass an electric current of millions of amperes through the rails and the projectile, an extremely powerful magnetic field will arise around the entire system, which, in turn, will drive the projectile along the rails, accelerating it to enormous speed and will be thrown out into space from the end of the rail system.

During testing, electromagnetic rail guns successfully fired metal objects at enormous speeds, accelerating them over a very short distance. What's great is that, in theory, a regular rail gun is capable of firing a metal projectile at a speed of 8 km/s; this is enough to put it into low-Earth orbit. In principle, NASA's entire rocket fleet could be replaced with rail guns that would fire payloads directly from the surface of the Earth into orbit.

The rail gun has significant advantages over chemical guns and missiles. When you fire a gun, the maximum speed at which the expanding gases can push the bullet out of the barrel is limited by the speed of the shock wave. Jules Berne, in the classic novel From the Earth to the Moon, fired a projectile carrying astronauts to the Moon using gunpowder, but in fact it is not difficult to calculate that the maximum speed that a gunpowder charge can impart to a projectile is many times less than the speed required to fly to the Moon . A rail gun does not use the explosive expansion of gases and therefore does not depend in any way on the speed of propagation of the shock wave.

But the rail gun has its own problems. Objects on it accelerate so quickly that they tend to be flattened due to collision... with air. The payload is severely deformed when it is fired from the muzzle of the rail gun, because when the projectile hits the air, it is as if it had hit a brick wall. In addition, during acceleration the projectile experiences enormous acceleration, which in itself can greatly deform the load. The rails must be replaced regularly, since the projectile also deforms them when moving. Moreover, overloads in a rail gun are fatal to people; human bones simply cannot withstand such acceleration and will collapse.

One solution is to install a rail gun on the moon. There, outside the Earth's atmosphere, the projectile will be able to accelerate unhindered in the vacuum of outer space. But even on the Moon, the projectile will experience enormous overloads during acceleration, which can damage and deform the payload. In a sense, a rail gun is the opposite of a laser sail, which gains speed gradually over time. The limitations of a rail gun are determined precisely by the fact that it transfers enormous energy to the body over a short distance and in a short time.

A rail gun capable of firing a vehicle towards the nearest stars would be a very expensive construction. Thus, one of the projects involves the construction in outer space of a rail gun with a length of two-thirds of the distance from the Earth to the Sun. This gun would store solar energy and then expend it all at once, accelerating a ten-ton payload to a speed equal to a third of the speed of light. In this case, the “projectile” will experience an overload of 5000 g. Of course, only the most resilient robot ships will be able to “survive” such a launch.

=====Specific impulse and engine efficiency =====

When it comes to comparing the efficiency of different types of engines, engineers usually talk about specific impulse. Specific impulse is defined as the change in impulse per unit mass of fuel consumed. Thus, the more efficient the engine, the less fuel is required to launch the rocket into space. Impulse, in turn, is the result of the action of a force over a certain time. Chemical rockets, although they have very high thrust, operate for only a few minutes and therefore have a very low specific impulse. Ion engines, capable of operating for years, can have high specific impulse with very low thrust.

A rocket capable of reaching the speed of light would have the highest possible specific impulse. Its specific impulse would be about 30 million. Below is a table of specific impulses characteristic of various types of jet engines.

Motor type(Specific impulse)

Solid fuel(250)

Liquid(450)

Ionic(3000)

Plasma VASIMR (1000-30,000)

Atomic(800-1000)

Thermonuclear direct-flow (2500-200,000)

Nuclear pulse(10,000-1,000,000)

On antimatter (1,000,000-10,000,000)

One of the main indicators of the efficiency of a rocket engine is specific thrust, or specific impulse. These synonymous terms mean the same thing, but in different formulations.

Specific thrust is the engine thrust divided by the second weight consumption of the working fluid

where the second flow rate is taken, naturally, under conditions given to the Earth's surface.

The specific impulse is understood as the impulse created by the engine per kilogram of the weight of the discarded working fluid. The difference between specific thrust and specific impulse is only that the first is measured in , and the second - in . Both in size and in dimension, nothing changes. Specific thrust and specific impulse are measured in seconds, and terminological adherence is determined only by established traditions. In some groups, out of habit, they use one term, in others, another. In conversational communication, the unit “second” is usually ignored and replaced with the word “unit”. For example, you can hear: “The engine provides 315 units of specific thrust...” or - “This allows you to increase the specific impulse by three units...”. According to expression (1.5)

Specific thrust, as we see, is determined primarily by the exhaust velocity W a, which depends not only on the properties of the fuel, but also on the design features of the engine. Depending on the design of the engine, the conditions of fuel combustion and the flow of combustion products change. In all types of rocket engines, there is a mass consumption for the internal needs of the engine, as they say, for service purposes. For example, the consumption of hydrogen peroxide decomposition products for turbine operation and the consumption of compressed gas when venting from containers. Naturally, when calculating the specific thrust, this necessary but unproductive mass consumption must be summed up with the main one, which somewhat reduces the value of the specific thrust.

The higher the specific thrust, the more advanced the engine is, and each additional unit of specific thrust is highly valued, especially for the main propulsion systems of space rockets.

Specific thrust depends on flight altitude. Therefore, when they want to characterize the efficiency of an engine, they usually call it empty specific thrust

Where W e- effective exhaust velocity in m/sec.

The value of the void specific thrust of modern rocket engines for all existing types of chemical rocket fuels lies in the range from 250 to 460 units.

The State Standard (GOST 17655-72, Liquid rocket engines. Terms and definitions) has now introduced another parameter for liquid rocket engines that characterizes efficiency, namely, specific thrust impulse of liquid propellant rocket engine- Jy. It differs from specific impulse in that thrust refers not to weight, but to mass flow per second


and is not measured in sec, and in n s/kg, i.e. in m/s. The specific thrust impulse of a liquid propellant rocket engine is the already familiar effective exhaust velocity, the use of which now extends to the atmospheric portion of the flight. The specific thrust impulse of a rocket engine is related to the specific thrust by an obvious relationship:

and in numerical terms:

The verbosity of the term provokes its abbreviation, and the specific thrust impulse of a rocket engine is often called specific impulse, which entails a semantic distortion. However, the tenfold numerical difference helps. If in the technical documentation for a chemical fuel engine the specific impulse is indicated in hundreds of units, then we are really talking about a specific impulse measured in sec; if it is in thousands, there is no doubt that this is the specific thrust impulse of the rocket engine, expressed in m/s.

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