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Converting work to heat is an irreversible process, and the purpose of a heat engine is to reverse the effect partially. Heat engines aim to increase the efficiency of the reversal, that is, maximize the work retrieved from heat. If the efficiency of a heat engine were 100%, it would imply reversing the process completely without introducing any other effect. Thus, it would violate the second law of thermodynamics.
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Connection between maximum-work and maximum-power thermal cycles.

Julian Gonzalez-Ayala1, L A Arias-Hernandez1, F Angulo-Brown1

  • 1Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edif. No. 9, U. P. Zacatenco, 07738, México D.F., Mexico.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2013
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Summary
This summary is machine-generated.

Researchers propose a new link between maximum-power thermal cycles and maximum-work cycles. This connection allows for accurate efficiency calculations and offers new insights into endoreversibility and thermal performance.

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Area of Science:

  • Thermodynamics
  • Thermal Engineering
  • Physical Chemistry

Background:

  • Maximum-power thermal cycles (Curzon-Ahlborn cycles) and maximum-work reversible cycles are crucial in analyzing energy conversion efficiency.
  • Understanding the relationship between these cycles is key to optimizing thermal performance.

Purpose of the Study:

  • To establish a novel connection between maximum-power Curzon-Ahlborn thermal cycles and maximum-work reversible cycles.
  • To explore the implications of this linkage for analyzing thermal cycles with various heat transfer laws and heat capacities.

Main Methods:

  • A mapping is established between exponents of heat transfer laws and exponents of temperature-dependent heat capacities.
  • The endoreversibility hypothesis is reinterpreted to underpin the proposed connection.

Main Results:

  • Known results for thermal cycles are recovered.
  • New results are generated for a class of thermal cycles.
  • Analytically closed expressions for maximum-work efficiencies are shown to provide good approximations for maximum-power efficiencies.

Conclusions:

  • The proposed connection provides a unified framework for analyzing different thermal cycles.
  • Reversible maximum-work cycles can serve as benchmarks for substance-dependent maximum-power cycles.
  • The findings offer a deeper understanding of thermal cycle optimization and performance limits.