Parametric optimum analysis of an irreversible Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas |
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Authors: | Bihong Lin Yingru Zhao Jincan Chen |
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Institution: | (1) Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen, 361005, People’s Republic of China;(2) Department of Physics, Quanzhou Normal University, Quanzhou, 362000, People’s Republic of China |
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Abstract: | An irreversible model of an Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas is established, which is
composed of two isothermal and two isobaric processes. The influence of both the quantum degeneracy and the finite-rate heat
transfer between the working fluid and the heat reservoirs on the performance of the cycle is investigated, based on the theory
of statistical mechanics and thermodynamic properties of an ideal Fermi gas. The inherent regeneration losses of the cycle
are analyzed. Expressions for several important performance parameters such as the coefficient of performance, cooling rate
and power input are derived. By using numerical solutions, the cooling rate of the cycle is optimized for a given power input.
The maximum cooling rate and the corresponding parameters are calculated numerically. The optimal regions of the coefficient
of performance and power input are determined. Especially, the optimal performance of the cycle in the strong and weak gas
degeneracy cases and the high temperature limit is discussed in detail. The analytic expressions of some optimized parameters
are derived. Some optimum criteria are given. The distinctions and connections between the Ericsson refrigeration cycles working
with the Fermi and classical gases are revealed.
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Keywords: | Cryogenic refrigeration cycle irreversibility quantum degeneracy performance characteristics optimal analysis |
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