INVISCID BATCHELOR-MODEL FLOW PAST AN AIRFOIL WITH A VORTEX TRAPPED IN A CAVITY

An efficient method of constructing inviscid Batchelor-model flows is developed. The method is based on an analytic continuation of the pote ntial part of the flow into the closed-streamline vortex region. Numer ical solutions are presented for Batchelor-model flows past airfoils w ith cavities. With the airfoil and dividing streamline shape, the eddy vorticity, and the jump in the Bernoulli constant across the eddy bou ndary given, the program calculates the corresponding cavity shape and the entire flow.