Analysis on Variable Fluid Viscosity of Non-Darcian Flow over a Moving Vertical Plate in a Porous Medium with Suction and Viscous Dissipation

Abstract

An analysis is carried out to study free convective flow and heat transfer of a viscous incompressible fluid over a linearly moving vertical porous plate with suction and viscous dissipation. The fluid viscosity is assumed to vary as a linear function of temperature. The governing boundary layer equations are reduced to boundary value problem using the concept of similarity transformations. The corresponding coupled ordinary differential equation is solved numerically using the Runge Kutta fourth order method along with shooting technique. Graphical results for the dimensionless velocity and temperature distributions are shown for various values of the thermophysical parameters controlling the flow regime. Numerical values of physical quantities such as the local Skin-friction coefficient and the Local Nusselt number are presented in tabular form.