A theoretical and experimental investigation has been made of the interaction of waves of finite amplitude in ducts of varying cross section. A new one-dimensional method is described by which the steady-state conditions after passage of an isentropic wave may be obtained from a chart without necessity of previously required iterative procedures. The chart has proved useful in the discussion of the spectrum of physical solutions which has been presented herein.Experiments were carried out in a shock tube to indicate the nature of the actual two-dimensional interaction processes occurring, and to determine how accurately one-dimensional methods could be applied to such interactions. A two-dimensional channel of area ratio 0.504 was made in such a way that the normal shock wave could be incident on either end. Density fields were measured with the aid of a Mach-Zehnder interferometer.Comparison of the transient density distribution obtained in the center of the channel with results of a one-dimensional unsteady flow calculation for the converging channel indicates excellent agreement. The establishment of steady flow was observed for a wide variety of incident shock strengths using both
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