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Linear irreversible thermodynamics and coefficient of performance
B Jiménez de Cisneros1, L A Arias-Hernández, A Calvo Hernández
1Departamento de Física Aplicada, Universidad de Salamanca, Spain.
Summary
This study analyzes refrigerator performance using linear irreversible thermodynamics, finding a coefficient of performance analogous to the Curzon-Ahlborn efficiency. Results are compared with finite-time thermodynamics frameworks.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Physical Chemistry
Background:
- Recent proposal for a heat engine by Van den Broeck.
- Analysis of refrigerator performance is crucial for understanding thermodynamic cycles.
- Linear irreversible thermodynamics provides a framework for analyzing non-equilibrium systems.
Purpose of the Study:
- Analyze the coefficient of performance of a refrigerator in two working regimes.
- Investigate the relationship between the refrigerator's performance and the Curzon-Ahlborn efficiency.
- Compare results obtained from linear irreversible thermodynamics with those from finite-time thermodynamics.
Main Methods:
- Utilizing the tools of linear irreversible thermodynamics.
- Analyzing two distinct working regimes for the refrigerator.
- Comparing thermodynamic magnitudes with finite-time thermodynamics results.
Main Results:
- Identified a working regime yielding a coefficient of performance equivalent to the Curzon-Ahlborn efficiency.
- Established connections with the Clausius inequality.
- Demonstrated consistency and differences between linear irreversible thermodynamics and finite-time thermodynamics formalisms.
Conclusions:
- Linear irreversible thermodynamics offers valuable insights into refrigerator performance.
- The Curzon-Ahlborn efficiency has an equivalent in specific refrigerator operating regimes.
- Thermodynamic analysis under different frameworks reveals nuanced behaviors.