Perturbation methods in transonic flow

The perturbation theory for transonic flow is further developed for two and three dimensional problems. The physical perturbation theory, in which the perturbation parameter is a physical quantity, is applied to solutions of the Navier-Stokes equations in two dimensions. The mathematical perturbation theory, in which the perturbation parameter is a measure of the difference between approximate and exact solutions, is applied both to the three-dimensional potential flow problems and to the two-dimensional Navier-Stokes equations. The strained coordinate technique is used to treat changes in location of any shock waves or large gradients.