Transonic potential formulation and its numerical solution
Abstract
In the existing nonisentropic potential formulations, the relation between the density and the entropy derived from the second law of thermodynamics is used and the entropy variation is indirectly or directly calculated from the momentum equations. In contrast to this complicated calculation procedure a transonic nonisentropic potential formulation is presented in which the density is computed from the momentum equations. Hence, it includes the effect of the entropy increase, so that by iterating it with the classical potential equation one may calculate the flowfield. Numerical results for the transonic cascade flows show that the shock is weaker and is placed further upstream, compared to the isentropic calculations, and is closer to the experimental data. The flowfield obtained in this formulation is the same as in the other nonisentropic formulations, although the calculation is simpler.
 Publication:

International Journal of Turbo and Jet Engines
 Pub Date:
 1989
 Bibcode:
 1989IJTJE...6..123X
 Keywords:

 Computational Fluid Dynamics;
 Potential Flow;
 Subsonic Flow;
 Thermodynamic Equilibrium;
 Transonic Flow;
 Flow Distribution;
 Inviscid Flow;
 Isentropic Processes;
 Poisson Equation;
 Fluid Mechanics and Heat Transfer