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Thermodynamic cycle

physical science Maturity 9-11 Next article →

A thermodynamic cycle is a sequence of linked processes that involve the transfer of heat and work. These processes change state variables like pressure, temperature, and volume within a system. The defining feature is that the working fluid eventually returns to its initial state.

P-v diagram of a simple cycle
P-v diagram of a simple cycle

This return to the starting state allows the process to repeat continuously. Because the system returns to its original temperature and pressure, the net change in internal energy over a full cycle is zero. This principle follows the first law of thermodynamics, which relates heat input and work output to internal energy changes.

Thermodynamic cycles are categorized into two primary classes: power cycles and heat pump cycles. In a power cycle, the system acts as a heat engine. It converts heat from a warm source into useful mechanical work and rejects the remaining heat to a cold sink.

Carnot heat engine 2
Carnot heat engine 2

Conversely, a heat pump cycle uses mechanical work as an input to move heat from a cold source to a warm sink. On a pressure-volume (PV) diagram, the direction of the cycle indicates its type. A clockwise loop represents a power cycle, while a counterclockwise loop represents a heat pump cycle.

PdV work cycle
PdV work cycle

To understand how these cycles function, scientists use specific thermodynamic processes to describe each stage. An isothermal process occurs at a constant temperature. An isobaric process maintains constant pressure. An isochoric process keeps the volume constant, meaning no work is done by the system. An adiabatic process involves no heat transfer, meaning energy changes occur only through work.

Stirling Cycle
Stirling Cycle

Other specialized processes include isentropic processes, which are both adiabatic and reversible, and isenthalpic processes, which occur without a change in enthalpy. Polytropic processes follow a specific mathematical relationship between pressure and volume.

Engineers often distinguish between ideal cycles and real cycles. An ideal cycle is a simplified model used for analysis and design. These models often assume processes are quasistatic, meaning they happen slowly enough to maintain equilibrium.

PV real1
PV real1

Real-world cycles are much more complex due to friction and the lack of time to reach equilibrium. For example, a real Stirling engine will show a significant difference in work output compared to an ideal Stirling cycle. By comparing these two, engineers can study how major parameters dominate a system without getting lost in intricate details.

Several famous cycles model the engines that power our world. The Otto cycle is the standard model for gasoline engines, while the Diesel cycle models diesel engines. Both are types of internal combustion engines. For external combustion engines, different models are used. The Brayton cycle models gas turbines, and the Rankine cycle models steam turbines.

Brayton cycle
Brayton cycle

The Stirling and Ericsson cycles are used to model hot air engines. The Carnot cycle serves as a theoretical benchmark. It consists of reversible isentropic and isothermal processes. Its efficiency depends only on the absolute temperatures of the hot and cold reservoirs.

Heat pump cycles are also essential for modern life. These cycles model household heat pumps and refrigerators. While they both move heat from low to high temperatures, a refrigerator is designed to cool a small space. A household heat pump is intended to manage the temperature of a whole house. The most common refrigeration model is the vapor compression cycle, which uses refrigerants that change phase. Other variations include the absorption refrigeration cycle and gas refrigeration cycles like the Hampson–Linde cycle.

Mathematical tools like PV diagrams and temperature-entropy diagrams help visualize these complex movements. On a PV diagram, the area enclosed by the loop represents the net work done by the cycle.

Stirling Cycle
Stirling Cycle

This area is the difference between the work done during expansion and the work required for re-compression. The relationship between work and heat is consistent with the first law of thermodynamics. By understanding these cycles, we can better grasp how energy is transformed across various mechanical and thermal systems.

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🖼️ Images & Media (8)
File:PdV work cycle.gif
PdV work cycle.gif
File:Stirling Cycle.png
Stirling Cycle.png
File:Carnot heat engine 2.svg
Carnot heat engine 2.svg
File:Brayton cycle.svg
Brayton cycle.svg
File:Stirling Cycle.svg
Stirling Cycle.svg
File:PV plot adiab sim.png
PV plot adiab sim.png
File:PV real1.PNG
PV real1.PNG
File:P-v diagram of a simple cycle.svg
P-v diagram of a simple cycle.svg
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