On the hydrodynamics and heat convection of an impinging external flow upon a cylinder with transpiration and embedded in a porous medium

Alizadeh, R., Rahimi, A. B., Karimi, N. and Alizadeh, A. (2017) On the hydrodynamics and heat convection of an impinging external flow upon a cylinder with transpiration and embedded in a porous medium. Transport in Porous Media, 120(3), pp. 579-604. (doi:10.1007/s11242-017-0942-9)

Alizadeh, R., Rahimi, A. B., Karimi, N. and Alizadeh, A. (2017) On the hydrodynamics and heat convection of an impinging external flow upon a cylinder with transpiration and embedded in a porous medium. Transport in Porous Media, 120(3), pp. 579-604. (doi:10.1007/s11242-017-0942-9)

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Abstract

This paper extends the existing studies of heat convection by an external flow impinging upon a flat porous insert to that on a circular cylinder inside a porous medium. The surface of the cylinder is subject to constant temperature and can include uniform or non-uniform transpiration. These cylindrical configurations are introduced in the analyses of stagnation point flows in porous media for the first time. The equations governing steady transport of momentum and thermal energy in porous media are reduced to simpler nonlinear differential equations and subsequently solved numerically. This reveals the dimensionless velocity and temperature fields of the stagnation-point flow, as well as the Nusselt number and shear stress on the surface of the cylinder. The results show that transpiration on the surface of the cylinder and Reynolds number of the external flow dominate the fluid dynamics and heat transfer problems. In particular, non-uniform transpiration is shown to significantly affect the thermal and hydrodynamic responses of the system in the circumferential direction. However, the permeability and porosity of the porous medium are found to have relatively smaller influences.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Karimi, Dr Nader
Authors: Alizadeh, R., Rahimi, A. B., Karimi, N., and Alizadeh, A.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Transport in Porous Media
Publisher:Springer Verlag
ISSN:0169-3913
ISSN (Online):1573-1634
Published Online:09 October 2017
Copyright Holders:Copyright © 2017 The Authors
First Published:First published in Transport in Porous Media 120(3): 579-604
Publisher Policy:Reproduced under a Creative Commons License

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