%0 Journal Article
%T Free Convective MHD Flow Past a Vertical Cone with Variable Heat and Mass Flux
%A J. Prakash
%A S. Gouse Mohiddin
%A S. Vijaya Kumar Varma
%J Journal of Fluids
%D 2013
%R 10.1155/2013/405985
%X 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. 1. Introduction Combined heat and mass transfer in fluid-saturated porous media finds applications in a variety of engineering processes such as heat exchanger devices, petroleum reservoirs, chemical catalytic reactors and processes, and others. A thorough discussion of these and other applications is available in the monographs [1, 2]. Comprehensive reviews of the much of the work communicated in porous media transport phenomena have been presented in [3, 4]. Most studies dealing with porous media have employed the Darcy law. However, for high velocity flow situations, the Darcy law is inapplicable, since it does not account for inertial effects in the porous medium. Such flows can arise, for example, in the near-wellbore region of high capacity gas and condensate petroleum reservoirs and also in highly porous filtration systems under high blowing rates. The most popular approach for simulating high-velocity transport in porous media is the Darcy-Forchheimer drag force model. This adds a second-order (quadratic) drag force to the momentum transport equation. This term is related to the geometrical features of the porous medium and is independent of viscosity. A seminal study discussing the influence of Forchheimer inertial
%U http://www.hindawi.com/journals/fluids/2013/405985/