Nonisentropic potential formulation for transonic flows

A potential equation for non-isentropic transonic flows is formulated. This procedure captures shock waves with Rankine-Hugoniot strengths but retains the simplicity of the traditional potential equation. Numerical computations are presented which verify the efficiency of the present procedure. It is also shown that Crocco's theorem is not applicable to potential flows. A new Crocco's theorem valid for potential flows is derived and it is shown that transonic flows with non-constant shock strengths can never be irrotational, irrespective of whether the flow is isentropic or not.