Perturbation series solutions are obtained for the unsteady flow of a compressible fluid in ducts of variable cross section. Among the problems treated is that of the interaction of a disturbance and shock wave in a diffuser flow. It is found that, for a special choice of the function describing the disturbance, the path of the shock wave can be expressed in closed form to first order. The flow field behind a shock wave moving on a prescribed path in the x, t-plane is also developed as a perturbation series.
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