Title: Analysis of entropy generation effects in flow and heat transfer of viscous fluid through a porous medium between two radially stretching surfaces

Authors: Adnan Saeed Butt; Asif Ali

Addresses: Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan ' Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan; Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia

Abstract: The present paper examines the entropy effects in flow and heat transfer of viscous fluid in a porous medium between two infinite radially stretching surfaces. With the aid of suitable similarity transformations, the partial differential equations describing the flow and heat transfer phenomenon are converted into nonlinear ordinary differential equations. Analytical and numerical solutions of these equations are obtained using homotopy analysis method and shooting technique with Runge Kutta Fehlberg method. The effects of various dimensionless parameters such as permeability parameter K, Reynolds number Re, Prandtl number Pr and Brinkman number Br on flow and heat transfer characteristics as well as on entropy generation are discussed in detail through graphs and tables.

Keywords: entropy generation; porous medium; radially stretching surfaces; fluid flow; heat transfer; viscous fluids; partial differential equations; PDEs; permeability; Reynolds number; Prandtl number; Brinkman number.

DOI: 10.1504/IJEX.2015.072914

International Journal of Exergy, 2015 Vol.18 No.4, pp.501 - 520

Received: 03 Jan 2014
Accepted: 06 Apr 2014

Published online: 07 Nov 2015 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article