Book Description
Two-dimensional inviscid, unsteady transonic flows with shock waves in asymmetric channels with arbitrary wall shapes are investigated, using the method of matched asymptotic expansions. With the exception of thin regions in the neighborhood of the channel throat and the neighborhood of the shock wave, solutions found using linearized governing equations are valid. In the regions enclosing the shock wave, an inner solution which satisfies the shock jump conditions and matches with the outer solutions, is presented. The shock shape is found as part of the solution, which is obtained numerically using the method of integral relations. A composite solution, uniformly valid throughout the channel, and the relation between the instantaneous shock wave position and back pressure far downstream are presented. (Author).
