MONOTONICITY PROPERTIES OF CERTAIN 2-DIMENSIONAL INCOMPRESSIBLE VORTEX FLOWS AND SUBSONIC GAS-FLOWS

It is proved that the pressure varies monotonically along certain sections of bodies and boundaries of flow regions, and that the isobars in the flow around convex bodies have no internal branch points (saddle points). The method used is the method of isobars, which is based on the fact that the angle of inclination of the velocity vector varies monotonically along curves of constant pressure (isobars) [1]. This method has been used before to study subsonic vortex flows between a body situated in a supersonic flow and an attached or receding shock wave [1-3].