Analytical and numerical investigation of the effect of different materials in the stack construction of the thermo acoustic system on the temperature difference between its extremities

Document Type : Original Article

Authors

1 PhD student, Shahid Sattari Aviation University, Tehran, Iran

2 Assistant professor, Shahid Sattari Aviation University, Tehran, Iran

Abstract

In this research, the effect of different common materials in the stack of a thermoacoustic cooling system on the temperature field between the sides of the stack is investigated and the effect of these materials on heat transfer is calculated. The main focus is to investigate the effect of different materials on the amount of deviation of the results (temperature difference of the sides of the stack) obtained from the numerical and analytical method of the classical thermoacoustic theory in the computational model. The numerical method used in this research is an explicit finite difference numerical method, which is presented in the form of a simple mathematical method of energy balance based on the results of classical thermoacoustic theory. Boundary conditions and assumptions are also considered to simplify calculations. Operational conditions are considered in the range of Mach numbers (0.04 ≤ Ma ≤ 0.08). At Mach number 0.04, the amount of deviation between numerical results and linear theory of Mylar, rigid PVC, polyethylene and stainless steel materials was 25%, 15%, 11% and 215% respectively and at the Mach number of 0.08, the amount of deviation reaches 34%, 24%, 13% and 490%, respectively, which is due to the non-linearity of the temperature fluctuations on the stack. Mylar has a better performance in heat transfer between the sides of the stack according to the linear theory, and a temperature difference of 7.2K can be achieved at a Mach number of 0.6. The difference between the results of numerical methods and linear theory for polyethylene stack with 11% and 13% in different Mach indicates its better compatibility than other tested materials.It was also found that by using stainless steel only a temperature difference of 0.3-0.5 K can be achieved. For this reason, it does not have a good performance in heat transfer.

Keywords

Smiley face

References

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Fluid Mechanics & Aerodynamics
Volume 13, Issue 1 - Serial Number 33
Spring and summer 2024
September 2024
Pages 99-113

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History

  • Receive Date: 24 April 2024
  • Revise Date: 30 May 2024
  • Accept Date: 23 June 2024
  • Publish Date: 22 July 2024

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