Effects of Wall Shear Stress on MHD Conjugate Flow over an Inclined Plate in a Porous Medium with Ramped Wall Temperature

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Mathematical Problems in Engineering - Volume 2014 2014, Article ID 861708, 15 pages -
Research Article
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, UTM 81310 Johor Bahru, Johor, Malaysia
College of Engineering Majmaah University, P.O. Box 66, Majmaah 11952, Saudi Arabia
Received 3 December 2013; Accepted 22 February 2014; Published 2 April 2014
Academic Editor: Zhijun Zhang
Copyright © 2014 Arshad Khan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This study investigates the effects of an arbitrary wall shear stress on unsteady magnetohydrodynamic MHD flow of a Newtonianfluid with conjugate effects of heat and mass transfer. The fluid is considered in a porous medium over an inclined plate with ramped temperature. The influence of thermal radiation in the energy equations is also considered. The coupled partial differential equations governing the flow are solved by using the Laplace transform technique. Exact solutions for velocity and temperature in case of both ramped and constant wall temperature as well as for concentration fields are obtained. It is found that velocity solutions are more general and can produce a huge number of exact solutions correlative to various fluid motions. Graphical results are provided for various embedded flow parameters and discussed in detail.
Autor: Arshad Khan, Ilyas Khan, Farhad Ali, and Sharidan Shafie
Fuente: https://www.hindawi.com/