Variable Viscosity and Thermal Conductivity on Convective Heat Transfer in a Dusty Fluid over a Vertical Permeable Surface with Radiation and Viscous Dissipation

Abstract

effects variable viscosity and thermal conductivity on a steady free convective boundary layer flow of a dusty fluid past a vertical permeable stretching surface with viscous dissipation and thermal radiation is studied. The system of partial differential equations together with the prescribed boundary conditions governing the equations of motion are reduced to a system of ordinary differential equations using similarity transformations. The resultant boundary value problems are then solved numerically using shooting technique based on fourth order Runge-Kutta method. The effects of physical parameters viz., viscosity parameter, thermal conductivity parameter, fluid-particle interaction parameter, local Grashof number, suction parameter, Prandtl number, radiation parameter and Eckert number on the flow and heat transfer are computed and presented graphically. The temperature gradient which gives the rate of heat transfer at the surface and skin friction coefficient are also obtained and present in Tables. The effects of all the parameters are quite significant. Keywordsviscosity and thermal conductivity, Dusty fluid; fluid-particle interaction parameter; radiation parameter; viscous dissipation