Instability of a Tangential Discontinuity in an Axisymmetric Flow with a Stagnation Point

The linear problem of the stability of a plane tangential discontinuity occurring at the interface of two counter-streaming inviscid incompressible axisymmetric flows and including a stagnation point is considered. Using the integral Hankel transform, the problem was reduced to the solution of a single elliptic differential equation governing the discontinuity shape. An analysis of this equation by the normal-mode technique leads to a dispersion relation from which there follows the instability of the discontinuity. A similar problem for the plane-symmetric case has previously been studied by the author. © 1997, Plenum Publishing Corporation.