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Published in:
2019 | OriginalPaper | Chapter
3. Conditions Across the Shock: The Rankine-Hugoniot Equations
Author : Seán Prunty
Published in: Introduction to Simple Shock Waves in Air
Publisher: Springer International Publishing
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Abstract
This chapter deals with the Rankine-Hugoniot relations connecting the states on both sides of a shock wave. These relationships are shown to produce important formulae connecting the pressure, density and temperature ratios on either side of the shock surface. In addition, other useful relationships are derived and presented in terms of the Mach number and the limiting form of these relationships in the case of weak and very strong shocks is discussed. The increase in the entropy of a gas on its passage through a shock is also considered. Finally, the reflection of a plane shock from a rigid plane surface is discussed and a relationship connecting the Mach numbers of the incident and reflected shocks is presented.