PSEUDOSTREAM FUNCTION FORMULATION——A METHOD OF SOLVING THREE-DIMENSIONAL AERODYNAMIC ANALYSIS AND DESIGN PROBLEMS IN TURBOMACHINERY

In this paper two pseudostream functions are defined in view of the characteristic featuresof the momentum equations and the requirement of continuity. The principal equationsof eiher pseudostream functions only contain the terms of its own second-order partial deriv-atives and do not include those of the other, and these equations can be easily solved. Theentire three-dimensional solution is then obtained through solving the principal equations ofboth pseudostream functions separately and iterating the two solutions. The principal equa-tions of the pesudostream functions in a nonorthogonal curvilinear coordinates and thecorresponding boundary conditions are given. The three-dimensional aerothermodynamicanalysis problem and design problem are discussed, some calculations are conducted and theresults are compared with the analytical solution and with that of other methods. It is seenthat this method is accurate in theory and simple in computation, and may be widely usedin three-dimensional flow calculations.