Boundary layer thickness over square cylinder
I am looking for a reference (text or peer-reviewed journal article) for the derivation of the boundary layer thickness over a short square cylinder as a function of distance from the leading edge for the simplest case of steady, uniform and laminar axial flow of an inviscid, incompressible fluid. Prefer an analytical solution (if it exists) rather than a numerical one. I can not find in Schlicting's "Boundary Layer Theory" or from my searches of the peer-reviewed journal literature.
My needs are simply to establish that there is a parabolic growth of boundary layer thickness as function of distance from the leading edge and that there are no significant effects caused by the square cross section (ie - that 'away' from the corner, defined as some fraction of the edge length, I can expect to see typical flat plate parabolic boundary layer behavior).