Heat and mass transfer by non‐Darcy free convection from a vertical cylinder embedded in porous media with a temperature‐dependent viscosity

A.J. Chamkha (Manufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh, Kuwait)
S.M.M. EL‐Kabeir (Department of Mathematics, College of Science and Humanitarian Studies in Al‐Kharj, Al‐Kharj University, Al‐Kharj, Saudi Arabia and Department of Mathematics, Faculty of Science, South Valley University, Aswan, Egypt)
A.M. Rashad (Department of Mathematics, Faculty of Science, South Valley University, Aswan, Egypt)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 20 September 2011

Abstract

Purpose

The purpose of this paper is to consider heat and mass transfer by natural convection from a vertical cylinder in porous media for a temperature‐dependent fluid viscosity in the presence of radiation and chemical reaction effects.

Design/methodology/approach

The governing equations are transformed into non‐similar differential equations and then solved numerically by an efficient finite‐difference method.

Findings

It is found that there are significant effects on the heat and mass transfer characteristics of the problem due to the variation of viscosity and radiation and chemical reaction effects.

Originality/value

The paper combines the effects of radiation, chemical reaction, non‐Darcy porous media effects along with the variation of viscosity with temperature.

Keywords

Citation

Chamkha, A., EL‐Kabeir, S. and Rashad, A. (2011), "Heat and mass transfer by non‐Darcy free convection from a vertical cylinder embedded in porous media with a temperature‐dependent viscosity", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 21 No. 7, pp. 847-863. https://doi.org/10.1108/09615531111162828

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Publisher

:

Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited

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