Fluid mechanics of gas-solid particle flow in boundary layers

Abstract

It is shown that the boundary layer approximation is applicable to two-phase flow over a semi-infinite flat plate and about a circular stationary cylinder, provided the particle density is of the order of [rho] in the boundary layer. In the boundary layer equations, the importance of a new parameter, [lamda][subscript m]/x, which is the ratio of the distance required for particle velocity to reach that of the fluid to the length measured downstream from the stagnation point, is pointed out, and expansions are made in terms of this parameter in such a way that a similarity variable can be found for the semi-infinite flat plate. This analysis is carried out for both an incompressible and a compressible gas on the semi-infinite flat plate. New shear coefficients and heat transfer coefficients are derived from this analysis. Also, an integral method is applied to the semi-infinite flat plate when the gas is incompressible to compare with the numerical solution of the same problem. The boundary layer analysis of the stationary circular cylinder demonstrates effects of curvature on two-phase flow.