ON THE HODOGRAPH TRANSFORMATION FOR HIGH-SPEED FLOW: I. A FLOW WITHOUT CIRCULATION

Abstract

In ref. (4) a solution is given to the problem of finding, by use of the hodograph transformation, steady plane isentropic flows round contours, reducing to given incompressible flows when the Mach number at infinity tends to zero. The solution contains an arbitrary function and therefore gives an infinity of such flows for each incompressible flow, when circulation is absent: with circulation, however, only one determination of this arbitrary function is permissible.