Heat and Mass Transfer with Free Convection MHD Flow Past a Vertical Plate Embedded in a Porous MediumReport as inadecuate




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Mathematical Problems in EngineeringVolume 2013 2013, Article ID 346281, 13 pages

Research ArticleDepartment of Mathematics, Faculty of Science, Universiti Teknologi Malaysia UTM, Skudai, 81310 Johor Bahru, Malaysia

Received 7 November 2012; Accepted 11 April 2013

Academic Editor: Zhijun Zhang

Copyright © 2013 Farhad Ali 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

An analysis to investigate the combined effects of heat and mass transferon free convection unsteady magnetohydrodynamic MHD flow of viscous fluid embedded in a porous medium is presented. The flow in the fluid is induced due to uniform motion of the plate. The dimensionless coupled linear partial differential equations are solved by using Laplace transform method. The solutions that have been obtained are expressed in simple forms in terms of elementary function and complementary error function. They satisfy the governing equations; all imposed initial and boundary conditions and can immediately be reduced to their limiting solutions. The influence of various embedded flow parameters such as the Hartmann number, permeability parameter, Grashofnumber, dimensionless time, Prandtl number, chemical reaction parameter, Schmidt number, and Soret number is analyzed graphically. Numerical solutions for skin friction, Nusselt number, and Sherwood number are also obtained in tabular forms.





Author: Farhad Ali, Ilyas Khan, Sharidan Shafie, and Norzieha Musthapa

Source: https://www.hindawi.com/



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