Temperature fields in a channel partially filled with a porous material under local thermal non-equilibrium condition: an exact solution

Karimi, N. , Mahmoudi, Y. and Mazaheri, K. (2014) Temperature fields in a channel partially filled with a porous material under local thermal non-equilibrium condition: an exact solution. Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 228(15), pp. 2778-2789. (doi: 10.1177/0954406214521800)

Abstract

This work examines analytically the forced convection in a channel partially filled with a porous material and subjected to constant wall heat flux. The Darcy–Brinkman–Forchheimer model is used to represent the fluid transport through the porous material. The local thermal non-equilibrium, two-equation model is further employed as the solid and fluid heat transport equations. Two fundamental models (models A and B) represent the thermal boundary conditions at the interface between the porous medium and the clear region. The governing equations of the problem are manipulated, and for each interface model, exact solutions, for the solid and fluid temperature fields, are developed. These solutions incorporate the porous material thickness, Biot number, fluid to solid thermal conductivity ratio and Darcy number as parameters. The results can be readily used to validate numerical simulations. They are, further, applicable to the analysis of enhanced heat transfer, using porous materials, in heat exchangers.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Karimi, Dr Nader
• Authors: Karimi, N., Mahmoudi, Y., and Mazaheri, K.
• College/School: College of Science and Engineering > School of Engineering > Systems Power and Energy
• Journal Name: Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science
• Publisher: SAGE Publications
• ISSN: 0954-4062
• ISSN (Online): 2041-2983
• Copyright Holders: Copyright © 2014 IMechE
• First Published: First published in Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science 228(15):2778-2789
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher