Numerical Computation of Nonisentropic Potential Equations for Transonic Cascade Flows

Based on the analysis of the momentum equations and the nonisentropic flow, an “isentropic density,” which is computed according to the isentropic relation and is dependent on the temperature only, is separated from the density. The entropy increase across the shock may be directly calculated from the momentum equations in the divergence form. Iterating with the classical potential equation may solve the nonisentropic transonic flowfield conveniently. It is seen from the calculations of transonic cascade flow on the surface of revolution that the shock in the nonisentropic calculation is weaker and is located farther upstream compared to the classical potential solution, and is in agreement with the experimental results. In the calculations, the effect of entropy increase on both the Kutta condition and the outlet boundary conditions has been taken into consideration.