Abstract

SUMMARY A rarefaction wave is produced in a two-dimensional channel by the impulsive retraction of a piston. In a finite section of the channel there is a slight variation in cross-section, and the effect of this variation on the rarefaction wave is considered. It is found that, after passing through the transition section, a perturbation is superimposed on the main wave which tends to decrease the flow velocity by a term which decreases inversely as the time for a point moving with the wave, but increases linearly with the time at a fixed point in the channel. In the transition section the disturbances accumulate and tend to increase the flow velocity if there is a throat, eventually producing a sonic regime. An attempt is made to describe the establishment of steady subsonic-supersonic flow in a converging-diverging nozzle.

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