Unsteady mixed convection boundary layer flow along a symmetric wedge with variable surface temperature embedded in a saturated porous medium
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 1 June 2015
Abstract
Purpose
The purpose of this paper is to study laminar two-dimensional unsteady mixed-convection boundary-layer flow of a viscous incompressible fluid past a symmetric wedge embedded in a porous medium in the presence of the first and second orders resistances.
Design/methodology/approach
The governing boundary-layer equations along with the boundary conditions are first converted into dimensionless form by a non-similar transformation, and then resulting system of coupled non-linear partial differential equations were solved by perturbation solutions for small dimensionless time until the second order. Numerical solutions of the governing equations are obtained employing the implicit finite-difference scheme in combination with the quasi-linearization technique. The obtained results will be compared with earlier papers on special cases of the problem to examine validity of the method of solution.
Findings
The effects of various parameters on the fluid velocity and fluid temperature as well as the wall heat transfer rate and skin-friction coefficient are presented graphically and in tabulated form.
Originality/value
The study of heat transfer in porous media has been attracted the attention of many researchers in recent times due to the utmost importance in many different applications, including physical, geophysical and chemical applications. Also in different areas of engineering and modern purposes as oil refining, pollution of the air with poison gas, the process of mineral extraction, the design water tanks and study volcanic activity. Also has many uses in medicine, modern science, food products, textiles and ion exchange.
Keywords
Acknowledgements
The authors express the gratitude to the anonymous referees for their constructive reviews of the manuscript and for helpful comments, which have served to improve the present paper. The authors would like to thank Institute of Scientific Research and Revival of Islamic Heritage at the Umm Al-Qura University (Project ID No. 43305015) for the financial support.
Citation
Al-Harbi, S.M. and Ibrahim, F.S. (2015), "Unsteady mixed convection boundary layer flow along a symmetric wedge with variable surface temperature embedded in a saturated porous medium", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 5, pp. 1162-1175. https://doi.org/10.1108/HFF-03-2014-0077
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited