Boundary Layer Growth on a Flat Plate with Suction or Injection

Abstract

Exact solutions of the Navier-Stokes equations are obtained for the boundary layer growth on an infinite flat plate with uniform suction or injection (with velocity V normal to its plane) which is started at time t =0 (with velocity U along its plane), for the two cases: i) U =arbitrary, V =const and ii) U ∞ t α , V ∞ t -1/2 . i) gives simple relations between the cases of suction and injection and ii) gives similar velocity profiles. Rayleigh's problem ( U =const) is investigated in detail, and the resulting solutions show the same qualitative natures as the corresponding steady flow solutions for an semi-infinite flat plate so far obtained.