Asymptotic Solutions to Compressible Laminar Boundary-Layer Solutions for Dusty-Gas Flow over a Semi-Infinite Flat Plate

摘要

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.