Numerical study of the heat transfer in wound woven wire matrix of a Stirling regenerator

Costa, S.C.; Barrutia, Harritz; Esnaola, Jon Ander; Tutar, Mustafa

Abstract

Nusselt number correlation equations are numerically derived by characterizing the heat transfer phenomena through porous medium of both stacked and wound woven wire matrices of a Stirling engine regenerator over a specified range of Reynolds number, diameter and porosity. A finite volume method (FVM) based numerical approach is proposed and validated against well known experimentally obtained empirical correlations for a random stacking woven wire matrix, the most widely used due to fabrication issues, for Reynolds number up to 400. The results show that the numerically derived correlation equation corresponds well with the experimentally obtained correlations with less than 6% deviation with the exception of low Reynolds numbers. Once the numerical approach is validated, the study is further extended to characterize the heat transfer in a wound woven wire matrix model for a diameter range from 0.08 to 0.11 mm and a porosity range from 0.60 to 0.68 within the same Reynolds number range. Thus, the new correlation equations are numerically derived for different flow configurations of the Stirling engine regenerator. It is believed that the developed correlations can be applied with confidence as a cost effective solution to characterize and hence to optimize stacked and wound woven wire Stirling regenerator in the above specified ranges.

• Journal Article Type: Article
• Acceptance Date: Nov 26, 2013
• Online Publication Date: Jan 5, 2014
• Publication Date: 2014-03
• Deposit Date: Apr 24, 2024
• Journal: Energy Conversion and Management
• Print ISSN: 0196-8904
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 79
• Pages: 255-264
• DOI: https://doi.org/10.1016/j.enconman.2013.11.055
• Keywords: Stirling engine, Heat transfer, Nusselt number, Porosity, CFD