DEVELOPMENT AND SEPARATION OF A LAMINAR BOUNDARY LAYER WITH AN EXPONENTIALLY INCREASING PRESSURE GRADIENT

We study the development of a laminar boundary layer when the external velocity is u1=u0(1−εeε), ξ=x/c, 0<ε«1. For small ξ the solution is a perturbation of the Blasius solution, but when ξ is of order log(ε−1) the boundary layer sub-divides into an inner and outer region, for which asymptotic expansions are derived and matched.