Thermodynamic optimization for a quantum thermoacoustic refrigeration micro-cycle
- PDF / 901,597 Bytes
- 9 Pages / 595.22 x 842 pts (A4) Page_size
- 12 Downloads / 177 Views
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 © Central South University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020 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 Cite this article as: E Qing, WU Feng, CHEN Lin-gen, QIU Yi-nan. Thermodynamic optimization for a quantum thermoacoustic refrigeration micro-cycle [J]. Journal of Central South University, 2020, 27(9): 2754−2762. DOI: https://doi.org/10.1007/s11771-020-4496-6.
1 Introduction The so-called thermoacoustic effect is a conversion phenomenon between heat energy and sound energy. It is a time averaged energy effect resulting from the heat interaction between the first medium (compressible fluid) and the second medium (solid wall). Broadly speaking, it is the interaction and coupling between the oscillation process and diffusion process. In a narrow sense, it is the direct conversion of heat energy and ordered sound energy [1]. Thermoacoustic engine
(including heat engine and refrigerator) is a type of machine in which the energy conversion is realized by thermoacoustic effect [1−4]. In recent years, because of its unique advantages, without the moving parts, the thermoacoustic engine has attracted attentions of many scholars in many fields in the world. Great progress has been made in both theory [5] and application researches [6−9]. The study of finite time thermodynamics is extended from classical to the quantum thermodynamic system [10], and the quantum mechanics method is applied to the performance analyses and optimization of thermodynamic
Foundation item: Project(51176143) supported by the National Natural Science Foundation of China; Project(K201919) supported by the Scientific Research Foundation of Wuhan Institute of
Data Loading...
