Abstract

A new model consisting of two isobaric branches connected by two straight-line branches is established to investigate the thermodynamic performance of a thermoacoustic refrigeration micro-cycle. The influence of quantum degeneracy on the dimensionless cooling load R* of the cycle is analysed based on the correction equation of state of an ideal Bose gas. The relationship between the dimensionless cooling load R* and the coefficient of performance (COP) e is obtained under the condition of weak gas degeneracy. The results show that the lowest temperature of the working fluid in the thermoacoustic refrigeration micro-cycle has to be higher than the Bose--Einstein condensation temperature so that the cycle can be carried out. Under the condition of weak gas degeneracy, the dimensionless cooling load R* is a monotonically increasing function of the COP e, the initial pressure p 0 and the parameter y. Under the condition of weak gas degeneracy, the COP e is the same as that of the classical ideal gas, whereas the dimensionless cooling load R* is larger than that of the classical ideal gas. Copyright The Author 2010. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org, Oxford University Press.

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