Constructal design of stack filled with parallel plates in standing-wave thermo-acoustic cooler

The optimal design for a stack filled with parallel plates in a standing-wave thermo-acoustic cooler was studied for fixed cross-sectional area constraints by using the constructal principle in this paper. The relationship between the cooling load and the plate spacing is derived. These expressions for the optimal plate spacing or the channel size and the optimal plate number are obtained. The results obtained herein shows that in the stack design of a thermo-acoustic cooler, the plate spacing and plate-number should been suitably selected based on the value of L0 and ω so as to obtain the maximum cooling load.