INERTIAL EFFECTS ON THERMOPHORETIC TRANSPORT OF SMALL PARTICLES TO WALLS WITH STREAMWISE CURVATURE .1. THEORY

We study the combined action of particle inertia and thermophoresis in boundary layer aerosol flows over surfaces with streamwise curvature, in the limit of small particle Stokes number, Stk, when the interacti on between these two transport mechanisms is expected to be most signi ficant. The governing dimensionless parameter controlling inertial eff ects is found to be Stk . Re-x(1/2), which can be large enough to caus e dramatic changes in deposition rates even when Stk << 1, due to the largeness of the streamwise Reynolds number, Re-x in boundary layer fl ows. Predictions are presented for concave/convex surfaces either 'col der' or 'hotter' than the mainstream.