Numerical solution of unsteady two dimensional decelerating flow over a wedge with temperature dependent viscosity

Abstract

The present work brings into focus the numerical solution of unsteady two dimensional decelerating laminar boundary layer flow and heat transfer of an incompressible fluid above a moving wedge in the existence of variable viscosity. Suitable transformation is used to form a system of coupled nonlinear partial differential equations for governing both the flow and heat transfer. These equations have been solved numerically by using an implicit finite difference method in combination with quasilinearization strategy. The obtained numerical results have been presented graphically in terms of local nusselt number, skin friction, temperature distribution, and velocity distribution for different values of variable viscosity parameter (ε) along with Prandtl number (Pr). The boundary layer isolates itself from its surface, past which the dual results exist up to a critical value of an unsteady parameter (λ).