## Abstract

According to Stewartson (1969, 1974) and to Messiter (1970), the flow near the trailing edge of a flat plate has a limit structure for Reynolds number $Re\rightarrow \infty $ consisting of three layers over a distance $O(Re^{-\frac{3}{8}})$ from the trailing edge: the inner layer of thickness $O(Re^{-\frac{5}{8}})$ in which the usual boundary layer equations apply; an intermediate layer of thickness $O(Re^{-\frac{1}{2}})$ in which simplified inviscid equations hold, and the outer layer of thickness $O(Re^{-\frac{3}{8}})$ in which the full inviscid equations hold. These asymptotic equations have been solved numerically by means of a Cauchy-integral algorithm for the outer layer and a modified Crank-Nicholson boundary layer program for the displacement-thickness interaction between the layers. Results of the computation compare well with experimental data of Janour and with numerical solutions of the Navier-Stokes equations by Dennis & Chang (1969) and Dennis & Dunwoody (1966).