Solution of nonstationary boundary layer problems by fastest descent method

Abstract

We consider the formation of a boundary layer above a semi-infinite plate that moves with velocity Vt8=At n in a viscous incompressible fluid. The problem is solved by Meksyn's asymptotic method. First, second, and third approximation equations are obtained. A numerical calculation is performed for various n, and especially interesting results are obtained for −0.5 < n < 0. The numerical solution of the third approximation equation is consistent with other known results.