自然科学版 英文版
自然科学版 英文版
自然科学版 英文版

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中南大学学报(英文版)

Journal of Central South University

Vol. 27    No. 9    September 2020

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Thermodynamic optimization for a quantum thermoacoustic refrigeration micro-cycle
E Qing(鄂青)1, 2, WU Feng(吴锋)1, 2, CHEN Lin-gen(陈林根)2, QIU Yi-nan(邱一男)3

1. School of Optical Information and Energy Engineering, Wuhan Institute of Technology,Wuhan 430205, China;
2. Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology,
Wuhan 430205, China;
3. State Key Laboratory of Technologies in Space Cryogenic Propellants, Beijing 100028, China

Abstract:A model of quantum thermoacoustic refrigeration micro-cycle (QTARMC) is established in which heat leakage is considered. A single particle contained in a one-dimensional harmonic potential well is studied, and the system consists of countless replicas. Each particle is confined in its own potential well, whose occupation probabilities can be expressed by the thermal equilibrium Gibbs distributions. Based on the Schrodinger equation, the expressions of coefficient of performance (COP) and cooling rate for the refrigerator are obtained. Effects of heat leakage on the optimal performance are discussed. The optimal performance region of the refrigeration cycle is obtained by the using of Ω objective function. The results obtained can enrich the thermoacoustic theory and expand the application of quantum thermodynamics.

 

Key words: thermoacoustic refrigeration; quantum mechanics; thermal phonon; performance optimization; finite time thermodynamics

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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