Numerical study of two dimensional laminar boundary layer compressible flow with pressure gradient and heat and mass transfer

Abstract

The aim of this work is the study of the two dimensional laminar compressible boundary layer flow, with an adverse pressure gradient in the presence of heat and mass transfer. The partial differential equations and their boundary conditions, describing the problem under consideration, are transformed using the compressible Falkner–Skan transformation and the numerical solution of the problem is obtained by using a modification of the well known Keller's-box method. The obtained numerical results for the velocity and temperature field, as well as for the associated boundary layer parameters, are shown in figures for different free-stream Mach numbers M ∞ and for the case (i) of heating of the wall ( S w>1), (ii) of an adiabatic wall ( S w=1) and (iii) of cooling of the wall ( S w<1), followed by an extensive discussion. The analysis of these results showed that the flow field is noticeably influenced by the pressure gradient parameter, the velocity of suction or injection imposed at the wall, the heat-transfer parameter S w and the free-stream Mach number. It is hoped that this study will bring out some more insight into the problem of the boundary-layer control and form the basis for a more wide and detailed investigation of this interesting problem of Aerodynamics.