Numerical Solutions of Unsteady Laminar Free Convection from a Vertical Cone with Non-Uniform Surface Heat Flux

Authors

1 Department of Mathematics, S R M University, Kattankulathur, TN, India-603203.

2 Manufacturing Engineering Department, The Public Authority for Applied Education & Training, Shuweikh, 70654 Kuwait

Abstract

Numerical solutions of, unsteady laminar free convection from an incompressible viscous fluid past a vertical cone with non-uniform surface heat flux   m w q x a x varying as a power function of the distance from the apex of the cone ( x  0 ) is presented. Here m is the exponent in power law variation of the surface heat flux. The dimensionless governing equations of the flow that are unsteady, coupled and non-linear partial differential equations are solved by an efficient, accurate and unconditionally stable finite difference scheme of Crank-Nicolson type. The velocity and temperature fields have been studied for various parameters viz. Prandtl number Pr , semi vertical angle  and the exponent m . The local as well as average skin-friction and Nusselt number are also presented and analyzed graphically. The present results are compared with available results in literature and are found to be in good agreement

Keywords

Journal of Applied Fluid Mechanics
Volume 6, Issue 3
July 2013
Pages 357-367

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