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Journal of FluidsVolume 2013 2013, Article ID 405985, 8 pages

Research Article

Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana

Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle 517325, Andhra Pradesh, India

Department of Mathematics, Sri Venkateswara University, Tirupati 517502, Andhra Pradesh, India

Received 23 April 2013; Revised 17 September 2013; Accepted 24 September 2013

Academic Editor: Mohy S. Mansour

Copyright © 2013 J. Prakash 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.


A numerical study of buoyancy-driven unsteady natural convection boundary layer flow past a vertical cone embedded in a non-Darcian isotropic porous regime with transverse magnetic field applied normal to the surface is considered. The heat and mass flux at the surface of the cone is modeled as a power law according to and , respectively, where denotes the coordinate along the slant face of the cone. Both Darcian drag and Forchheimer quadratic porous impedance are incorporated into the two-dimensional viscous flow model. The transient boundary layer equations are then nondimensionalized and solved by the Crank-Nicolson implicit difference method. The velocity, temperature, and concentration fields have been studied for the effect of Grashof number, Darcy number, Forchheimer number, Prandtl number, surface heat flux power-law exponent , surface mass flux power-law exponent , Schmidt number, buoyancy ratio parameter, and semivertical angle of the cone. Present results for selected variables for the purely fluid regime are compared with the published results and are found to be in excellent agreement. The local skin friction, Nusselt number, and Sherwood number are also analyzed graphically. The study finds important applications in geophysical heat transfer, industrial manufacturing processes, and hybrid solar energy systems.

Author: J. Prakash, S. Gouse Mohiddin, and S. Vijaya Kumar Varma



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