The Effects of Buoyancy and Transpiration on the Flow and Heat Transfer over a Moving Permeable Surface in a Parallel Stream in the Presence of Radiation

Abstract

This paper is concerned with steady boundary layer flow over a moving permeable sheet in a viscous and incompressible fluid. In addition to mass transfer from the plate (suction or injection), the buoyancy term is included in the momentum equation and the viscous dissipation and radiation terms are also included in the energy equation. The sheet is assumed to move in the same or opposite direction to the free stream. Using a similarity variable, the steady-state governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with sixth-order Runge-Kutta integration scheme. In order to have a true similarity solution, the parameter Grx must be constant and not depend on x. This condition can be met if the thermal expansion coefficient β is proportional to x−1. The effects of Prandtl number, Eckert number, the local Grashof number, and the radiation parameter on the velocity and temperature profiles are illustrated and interpreted in physical terms. A comparison with previously published results on the special case of the problem shows excellent agreement.