Quantum degeneracy effect on performance

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) 1 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 1, the initial pressure p0 and the parameter y