Author(s)

E.M. Sozer & M.D. Greenberg

Abstract

A vortex sheet approach to the nonlinear flow induced by a submerged line source or sink E.M. Sozer, M.D. Greenberg Mechanical Engineering Department, University TVetuork, ABSTRACT The plane potential flow induced by a submerged line source or sink is studied by means of a vortex sheet model developed by Zaroodny and Greenberg in 1973, with emphasis on the evolution of the free surface shape. The evolution equations for the free surface shape and vortex density account for the nonlinear free surface boundary conditions, and are integrated in time. The approach to the steady state solutions found by other investigators, and herein by a perturbation solution, is presented for representative Froude numbers. INTRODUCTION It is known that the plane potential flow, both above and below a free surface, can be generated by a vortex sheet representation of the free surface. The evolution equations for the two unknowns, the vortex density distribution G(x,t) and the free su

Keywords