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Symmetry in thermal cycles and processes.

Huan Guo1,2, Yifu Li3, Yujie Xu1,2

  • 1Institute of Engineering Thermophysics, Chinese Academy of Sciences, 11 Beisihuanxi Rd, Haidian District, Beijing 100190, China.

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Symmetry analysis reveals inherent symmetries in thermodynamic cycles like Carnot and Rankine. This approach proves Carnot efficiency using symmetry alone, offering a new perspective beyond traditional thermodynamics.

Keywords:
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Area of Science:

  • Thermodynamics
  • Symmetry Analysis
  • Macroscopic Energy Systems

Background:

  • Symmetry analysis is a powerful tool in physics but underutilized in macroscopic energy systems.
  • Understanding thermodynamic cycles can be enhanced through novel analytical approaches.

Purpose of the Study:

  • To explore the application of symmetry analysis in thermodynamic cycles.
  • To demonstrate how symmetry can be used to derive fundamental thermodynamic principles.
  • To extend symmetry analysis to cycles involving phase transitions.

Main Methods:

  • Analysis of C-P diagrams for Carnot cycles to identify symmetries (reflection, translation, rotation).
  • Utilizing symmetry principles to prove maximum cycle efficiency.
  • Applying symmetry analysis to Rankine cycles with phase transitions.

Main Results:

  • Carnot cycles exhibit rich reflection, translation, and rotational symmetries.
  • Symmetry analysis alone can establish Carnot efficiency as the maximum possible without entropy.
  • The framework is applicable to thermal cycles with phase transitions, such as Rankine cycles.

Conclusions:

  • Symmetry analysis offers valuable insights into thermodynamic cycles.
  • It provides an alternative method for proving thermodynamic efficiencies, independent of entropy.
  • This approach broadens the applicability of symmetry analysis in energy systems research.