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Research Article Open Access
A numerical solution of buoyancy-driven unsteady natural convection boundary layer flow past a vertical cone embedded in a non-Darcian isotropic porous regime is considered. The heat and mass flux at the surface of the cone is modeled as a power-law according to ( ) m qw x = x and * ( ) n w q x = x respectively, where x 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 non-dimensionalized 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 (m), surface mass flux power-law exponent (n), Schmidt number, buoyancy ratio parameter and semi-vertical angle of the cone. Present results for selected variables for the purely fluid regime are compared with the non-porous study by Hossain and Paul  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.
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Author(s): S Gouse Mohiddin O Anwar Beg and S Vijaya Kumar Varma
cone, non-Darcian porous media, finite difference method, flux, AMS Subject Classification: 35Q35, 76R10, 76S99, 76W05, finite difference method