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I am looking for a reference which has solutions for the laminar flow boundary layer for the following scenario:

circular cylinder, L>>d, length in direction of flow, with flat circular cap

uniform laminar flow

inviscid, incompressible fluid

In other words, I would like the analog to the classical solution of an infinite flat plate (which has a parabolic dependence of the thickness of the boundary layer vs. position from the edge) for an infinite cylinder in which the flow is moving along the length of the cylinder (not around the cross-section!).

I've looked through a number of reference texts and have not found a solution.

I'm not well versed enough in the mathematics to derive my own numerical solution.

Thanks in advance!

--Dave