Boundary layer induced by a conical vortex

The structure of the boundary layer induced by a family of inviscid vortice s with conical symmetry over a solid plane is analysed. Though the equation s governing the problem over an infinite plane may be written in a self-sim ilar form, they have no self-similar solutions connecting the no-slip bound ary condition at the plane with the inviscid external vortex. Numerical com putations on a finite circular disk of radius R suggest new variables in te rms of which the solution tends to an asymptote as the axis is approached. Further, a similarity solution for the finite disk problem is given. This s olution provides a relatively simple 'initial' velocity profile to consiste ntly model the effusing core structure in actual vortices of interest.