Nepedia
Back to Discover
Advanced Reader
⚛️

Stirling cycle

physical science Maturity 11-13 Next article →

The Stirling cycle is a thermodynamic cycle that describes how a specific class of Stirling engines operates. This cycle is highly significant because it is reversible. This means that if the device is supplied with mechanical power, it can function as a heat pump for heating or cooling. It can even be used for cryogenic cooling, which is the process of reaching extremely low temperatures.

ideal-stirling-cycle
ideal-stirling-cycle

Unlike the ideal Otto or Diesel cycles, which are not totally reversible due to how they handle heat, the Stirling cycle features isothermal heat-addition and heat-rejection processes. This makes it an altered version of the Carnot cycle. In a Carnot cycle, there are two isentropic processes. In the Stirling cycle, these are replaced by two constant-volume regeneration processes.

The cycle is defined as a closed regenerative cycle using a gaseous working fluid. A "closed cycle" means the working fluid is permanently contained within the thermodynamic system. This also makes the engine an external heat engine. The term "regenerative" refers to the use of an internal heat exchanger called a regenerator. This component is vital because it increases the thermal efficiency of the device. The cycle follows four main processes: compression, heat addition, expansion, and heat removal. However, these processes are not discrete steps. Instead, the transitions between them overlap during operation.

To understand the mechanism, one must look at the adiabatic Stirling cycle. This version uses four slightly different thermodynamic processes. First, from 180 to 270 degrees, the gas undergoes pseudo-isothermal expansion. In this stage, the expansion space is heated externally. Next, from 270 to 0 degrees, the gas undergoes near-constant-volume heat removal. During this phase, the gas passes through the regenerator. This cools the gas and transfers heat to the regenerator for use in the next cycle.

Particle mass plot
Particle mass plot

From 0 to 90 degrees, the gas undergoes pseudo-isothermal compression. The compression space is intercooled to facilitate this. Finally, from 90 to 180 degrees, the gas undergoes near-constant-volume heat addition. The compressed gas flows back through the regenerator to pick up heat before entering the heated expansion space.

Engine designs vary based on how the pistons move. In an alpha Stirling, the phase angle difference between piston motions is the same as the phase angle of the volume variations. In beta and gamma engines, these angles are not the same.

Alpha Stirling highres
Alpha Stirling highres

Designers often use mechanical linkages to dictate piston motion. A common design is the "kinematic" design, which often results in near-sinusoidal piston motion. Some linkages, like the "Ross yoke," exhibit this near-sinusoidal motion. Other linkages, such as the "rhombic drive," produce more non-sinusoidal motion. While an "ideal cycle" might offer high net work output, it is rarely used in practice. This is because it can cause high piston acceleration and viscous pumping losses.

PV plot adiab sim
PV plot adiab sim

The history of this technology began in 1816. Robert Stirling invented and patented the original Stirling engine during this year. He received assistance from his brother, who was an engineer. Despite its long history, the Stirling cycle remains a highly advanced subject. It has defied complete analysis by many experts for over 190 years. Professor Israel Urieli has noted that many "ideal" cycles, such as the Schmidt cycle, are not physically realizable. Furthermore, the analytical problem of the regenerator is considered one of the most difficult challenges in engineering.

Temperature vs angle
Temperature vs angle

Real-world performance involves complex energy transfers. In an alpha-type engine, the heater and expansion space show positive energy flow.

Energy vs crank angle
Energy vs crank angle

The compression piston requires a net input of work, which is shown when the work trace dips down. The heat flowing out of the cooler and the work from the compression piston share the same cycle energy. This is consistent with the zero-net heat transfer of the regenerator. In actual applications, the thermal efficiency of the overall system might only be about half of the theoretical limit. This happens because of thermodynamic losses known as "heat transfer losses" or "hysteresis losses."

Understanding the Stirling cycle requires looking at how pressure and volume interact. Scientists use pressure-versus-volume graphs to characterize these cycles. In real applications, this cycle is often quasi-elliptical rather than perfectly shaped.

Pressure vs angle
Pressure vs angle

Engineers must also manage "pumping losses," which are pressure drops caused by viscous flow through heat exchangers. To design these correctly, they must use multivariate optimization. This ensures they get enough heat transfer without causing too many flow losses. By balancing these forces, the Stirling cycle remains a fascinating way to convert heat into work.

750 words

Where will your curiosity go next?

Keep exploring at your chosen reading level.

🖼️ Images & Media (9)
File:Stirling cycle pV.svg
Stirling cycle pV.svg
File:ideal-stirling-cycle.gif
ideal-stirling-cycle.gif
File:PV plot adiab sim.png
PV plot adiab sim.png
File:Particle mass plot.png
Particle mass plot.png
File:Alpha Stirling highres.gif
Alpha Stirling highres.gif
File:Heat exchanger pressure drop.png
Heat exchanger pressure drop.png
File:Pressure vs angle.png
Pressure vs angle.png
File:Temperature vs angle.png
Temperature vs angle.png
File:Energy vs crank angle.png
Energy vs crank angle.png
More to explore

🔬 Go deeper

More advanced topics to explore

🪜 Step back

Simpler topics to build understanding

What is Nepedia?

A free, ad-free encyclopedia for children. Every article is written at five reading levels, so the same page works for a five-year-old and a fifteen-year-old — use the level switcher above to see this one change. No account needed to read.