Analysis of shock motion in ducts during disturbances in downstream pressure

Herbert G. Hurrell
naca-tn-4090
Sep 1957


The effect of small downstream pressure disturbances on the position of a normal shock in a duct with area variation is analyzed. For the analysis, the gas flow is treated as quasi-one-dimensional, and boundary layer is neglected. The analysis shows that there is a first-order lag relation between shock position and small downstream disturbances in pressure which occur at frequencies below a given limit. The constant and the gain of this lag are expressed in terms of a dimensionless time constant that depends only on the steady- state Mach number of the shock.

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