A refined Karman-Pohlhausen method previously generalized by Zien to include the effects of mass transfer is further explored and its application is extended to cases involving both pressure gradients and surface mass transfer. The case with piece-wise suction (or blowing) is also included. The study is restricted to plane, incompressible, laminar boundary layers. Configurations of flat plates and circular cylinders are chosen to illustrate the application of the method. Results are given mainly in terms of skin frictions, and they are presented entirely in closed forms. The calculations for the porous plate case are carried out using rather elaborate velocity profiles, but the results differ negligibly from previous ones with very simple profiles. A linear velocity profile is then used to carry out some exploratory calculations for more complex flows. The method is shown to be a potentially efficient tool for handling the problem of boundary-layer control by means of surface mass transfer. (Author).

An asymptotic analysis is given of the compressible, laminar boundary layer flow of a dilute gas particle mixture over a semi-infinite flat plate. The analysis extends existing work by considering more realistic drag and heat transfer relations than those provided by Stokes. A more general viscosity temperature expression is also incorporated into the analysis. The solution involves a series expansion in terms of the slip parameter of the particles. The numerical results, including the zeroth and first order approximations for the gas and particle phases, are presented for the two limiting regimes: the large slip limit near the leading edge and the small slip limit far downstream. Significant effects on the flow produced by the particles with Stokes' and non-stokes' relations are studied and clarified. The effects of some nondimensional similarity parameters, such as the Reynolds, Prandtl and Eckert numbers, on the two phase boundary layer flow are discussed. Keywords: Dusty gas flows; Two phase flows; Boundary layer flows; Partial differential equations; Numerical analysis; Canada.