Laminar flow near the break point of the surface of a prolate body of revolution

An analysis is made of the steady axisymmetric flow of a viscous incompressible flow near the line of a slight conical break in the surface of a body of revolution at characteristic Reynolds numbers Re much greater than 1 and a body radius of about Re exp-3/8. The method of matched asymptotic expansions is used to examine the solution of Navier-Stokes equations in the region where the boundary layer interacts with the potential flow. The boundary value problem is formulated for the viscous sublayer of the interaction region; a solution is obtained in the linear approximation. Two limiting forms of the interaction regime are found: (1) interaction on the surface of a two-dimensional profile and (2) interaction in the case of flow around a body of revolution comparable in terms of thickness with the boundary layer.