Although thermoacoustic devices comprise simple components, the design of these machines is
very challenging. In order to predict the behavior and optimize the performance of a thermoacoustic
refrigerator driven by a standing-wave thermoacoustic engine, considering the changes in
geometrical parameters, two analogies have been presented in this paper. The ¯rst analogy is
based on CFD analysis where a 2D model is implemented to investigate the in°uence of stack
parameters on the refrigerator performance, to analyze the time variation of the temperature
gradient across the stack, and to examine the refrigerator performance in terms of refrigeration
temperature. The second analogy is based on the use of an optimization algorithm based on the
simpli¯ed linear thermoacoustic theory applied for designing thermoacoustic refrigerators with
di®erent stack parameters and operating conditions. Simulation results show that the engine
produced a high-powered acoustic wave with a pressure amplitude of 23 kPa and a frequency of
584 Hz and this wave applies a temperature di®erence across the refrigeration stack with a cooling
temperature of 292.8K when the stacks are positioned next to the pressure antinode. The results
from the algorithm give the ability to design any thermoacoustic refrigerator with high performance
by picking the appropriate parameters.