Boundary layer growth on a flat plate with suction or injection. (English) Zbl 1230.76017

Hasimoto, Hidenori

J. Phys. Soc. Japan 12, No. 1, 68-72 (1957).

Summary: 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) \(U\propto t^{\alpha}\), \(V\propto t^{-1/2}\). 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.

MSC:

76D10

Boundary-layer theory, separation and reattachment, higher-order effects