Approximate solution of the laminar boundary- layer equations with mass transfer.

Abstract

The Galerkin-Kantorovich-Dorodnitsyn (GKD) multimoment method is employed for the calculation of compressible steady laminar boundary-layer flows around two-dimensional and axially symmetric bodies with insulated walls and mass transfer. The two basic elements of the GKD method are a system of N integral conditions derived from the boundary-layer equations and an approximating function with N undetermined coefficients. Two forms of the approximating function are employed: one throughout most regions of flow and the other in the immediate vicinity of zero wall shear stress. Approximate solutions for a variety of similar and nonsimilar flows are presented. The trial calculations include cases with flow separation, blowoff, and discontinuities in the boundary conditions. The approximate solutions are generally uniformly convergent as the number of coefficients is increased and are less than about 1 % in error for the third- and higher-order solutions except in the neighborhood of blowoff on a flat plate.