Particular Integrals of the Prandtl-Busemann Iteration Equations for the Flow of a Compressible Fluid

摘要

The particular integrals of the second-order and third-order Prandtl- Busemann iteration equations for the flow of a compressible fluid are obtained by means of the method in which the complex conjugate variables z and z bar are utilized as the independent variables of the analysis. The assumption is made that the Prandtl-Glauert solution of the linearized or first-order iteration equation for the two-dimensional flow of a compressible fluid is known. The forms of the particular integrals, derived for subsonic flow, are readily adapted to supersonic flows with only a change in sign of one of the parameters of the problem.