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

The aim of this work is the study of the two dimensional laminar compressib le boundary layer flow, with an adverse pressure gradient in the presence o f heat and mass transfer. The partial differential equations and their boun dary conditions, describing the problem under consideration, are transforme d using the compressible Falkner-Skan transformation and the numerical solu tion of the problem is obtained by using a modification of the well known K eller's-box method. The obtained numerical results for the velocity and tem perature field, as well as for the associated boundary layer parameters, ar e shown in figures for different free-stream Mach numbers M-infinity and fo r 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 extens ive 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 a nd the fret-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 t he basis for a more wide and detailed investigation of this interesting pro blem of Aerodynamics. (C) 1999 Elsevier Science Ltd. All rights reserved.