Numerical prediction of flow in slender vortices

We study the slender vortex approximation with emphasis on the high Reynolds number behavior. It is shown that the breakdown of the approximation coincides with the critically condition as introduced by Benjamin [1]. We study free vortices with and without an adverse pressure gradient for viscous and inviscid flows. Finally, we compare with the experimental results from Faler and Leibovich [2]. © 1988.