Unsteady Transonic Flows with Shock Waves
Two-dimensional inviscid, unsteady transonic flows witfi shock waves in asymmetric channels having arbitrary wall shapes are investigated, using the method of matched asymptotic expansions. With the exception of thin regions in the neighborhood of both the channe! throat and the shock wave, solutions found using linearized governing equations are valid. In the region 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 slioek wave position and back pressure far downstream are presented.