Efficiency of a heat engine. Heat engine efficiency - definition formula

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Efficiency of a heat engine. Heat engine efficiency - definition formula
Efficiency of a heat engine. Heat engine efficiency - definition formula
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The operation of many types of machines is characterized by such an important indicator as the efficiency of a heat engine. Every year, engineers strive to create more advanced equipment that, at lower fuel costs, would give the maximum result from its use.

Heat engine device

Heat engine efficiency
Heat engine efficiency

Before understanding what efficiency is, it is necessary to understand how this mechanism works. Without knowledge of the principles of its action, it is impossible to find out the essence of this indicator. A heat engine is a device that does work by using internal energy. Any heat engine that converts thermal energy into mechanical energy uses the thermal expansion of substances with increasing temperature. In solid-state engines, it is possible not only to change the volume of matter, but also the shape of the body. The operation of such an engine is subject to the laws of thermodynamics.

Operating principle

In order to understand how a heat engine works, it is necessary to consider the basicshis designs. For the operation of the device, two bodies are needed: hot (heater) and cold (refrigerator, cooler). The principle of operation of heat engines (the efficiency of heat engines) depends on their type. Often, the steam condenser acts as a refrigerator, and any type of fuel that burns in the furnace acts as a heater. The efficiency of an ideal heat engine is found by the following formula:

Efficiency=(Theating - Cooling)/ Theating. x 100%.

At the same time, the efficiency of a real engine can never exceed the value obtained according to this formula. Also, this indicator will never exceed the above value. To increase the efficiency, most often increase the temperature of the heater and reduce the temperature of the refrigerator. Both of these processes will be limited by the actual operating conditions of the equipment.

Heat engine efficiency (formula)

Heat engine efficiency (formula)
Heat engine efficiency (formula)

During the operation of a heat engine, work is done, as the gas begins to lose energy and cools to a certain temperature. The latter is usually a few degrees above the surrounding atmosphere. This is the refrigerator temperature. Such a special device is designed for cooling with subsequent condensation of the exhaust steam. Where condensers are present, the temperature of the refrigerator is sometimes lower than the ambient temperature.

In a heat engine, the body, when heated and expanded, is not able to give all its internal energy to do work. Some of the heat will be transferred to the refrigerator along with exhaust gases or steam. This partthermal internal energy is inevitably lost. During fuel combustion, the working body receives a certain amount of heat Q1 from the heater. At the same time, it still does work A, during which it transfers part of the thermal energy to the refrigerator: Q2<Q1.

EFFICIENCY characterizes the efficiency of the engine in the field of energy conversion and transmission. This indicator is often measured as a percentage. Efficiency Formula:

ηA/Qx100%, where Q is the expended energy, A is the useful work.

Based on the law of conservation of energy, we can conclude that the efficiency will always be less than one. In other words, there will never be more useful work than the energy spent on it.

Engine efficiency is the ratio of useful work to the energy supplied by the heater. It can be represented as the following formula:

η=(Q1-Q2)/ Q1, where Q 1 - heat received from the heater, and Q2 - given to the refrigerator.

Heat engine operation

Efficiency of an ideal heat engine
Efficiency of an ideal heat engine

The work done by a heat engine is calculated using the following formula:

A=|QH| - |QX|, where A is work, QH is the amount of heat received from the heater, QX- the amount of heat given to the cooler.

Heat engine efficiency (formula):

|QH| - |QX|)/|QH|=1 - |QX|/|QH|

It is equal to the ratio of the work done by the engine to the amount ofwarmth. Part of the thermal energy is lost during this transfer.

Carnot engine

The maximum efficiency of a heat engine is noted at the Carnot device. This is due to the fact that in this system it depends only on the absolute temperature of the heater (Тн) and cooler (Тх). The efficiency of a heat engine operating according to the Carnot cycle is determined by the following formula:

(Тн - Тх)/ Тн=- Тх - Тн.

Maximum efficiency of the heat engine
Maximum efficiency of the heat engine

The laws of thermodynamics allowed us to calculate the maximum efficiency that is possible. For the first time this indicator was calculated by the French scientist and engineer Sadi Carnot. He invented a heat engine that ran on ideal gas. It works on a cycle of 2 isotherms and 2 adiabats. The principle of its operation is quite simple: a heater contact is brought to the vessel with gas, as a result of which the working fluid expands isothermally. At the same time, it functions and receives a certain amount of heat. After the vessel is thermally insulated. Despite this, the gas continues to expand, but already adiabatically (without heat exchange with the environment). At this time, its temperature drops to the refrigerator. At this moment, the gas is in contact with the refrigerator, as a result of which it gives it a certain amount of heat during isometric compression. Then the vessel is thermally insulated again. In this case, the gas is compressed adiabatically to its original volume and state.

Varieties

In our time, there are many types of heat engines that operate on different principles and on different fuels. They all have their own efficiency. These includethe following:

• Internal combustion engine (piston), which is a mechanism where part of the chemical energy of the burning fuel is converted into mechanical energy. Such devices can be gas and liquid. There are 2-stroke and 4-stroke engines. They may have a continuous duty cycle. According to the method of preparing the fuel mixture, such engines are carburetor (with external mixture formation) and diesel (with internal). According to the types of energy converter, they are divided into piston, jet, turbine, combined. The efficiency of such machines does not exceed 0.5.

• Stirling engine - a device in which the working fluid is in a closed space. It is a kind of external combustion engine. The principle of its operation is based on the periodic cooling/heating of the body with the production of energy due to changes in its volume. It is one of the most efficient engines.

• Turbine (rotary) engine with external combustion of fuel. Such installations are most often found in thermal power plants.

• Turbine (rotary) ICE is used at thermal power plants in peak mode. Not as common as others.

• A turboprop engine generates some of the thrust due to the propeller. The rest comes from exhaust gases. Its design is a rotary engine (gas turbine), on the shaft of which a propeller is mounted.

Other types of heat engines

• Rocket, turbojet and jet engines that get thrust from recoilexhaust gases.

• Solid-state engines use solids as fuel. When working, it is not its volume that changes, but its shape. The operation of the equipment uses an extremely low temperature difference.

The principle of operation of heat engines (efficiency of heat engines)
The principle of operation of heat engines (efficiency of heat engines)

How to improve efficiency

Is it possible to increase the efficiency of a heat engine? The answer must be sought in thermodynamics. It studies the mutual transformations of different types of energy. It has been established that it is impossible to convert all available thermal energy into electrical, mechanical, etc. At the same time, their conversion into thermal energy occurs without any restrictions. This is possible due to the fact that the nature of thermal energy is based on the disordered (chaotic) movement of particles.

Efficiency of a heat engine operating according to the Carnot principle
Efficiency of a heat engine operating according to the Carnot principle

The more the body heats up, the faster the molecules that make it up will move. Particle motion will become even more erratic. Along with this, everyone knows that order can easily be turned into chaos, which is very difficult to order.

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