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Existence and uniqueness of normal shock waves in gas-particle mixtures

Published online by Cambridge University Press:  29 March 2006

Barbara Schmitt-Von Schubert
Barbara Schmitt-Von Schubert
Affiliation:
Institut für Mechanik, Technische Hochschule, Darmstadt
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Abstract

A mixture of a gas and small solid particles is considered which, far upstream, is in a constant equilibrium state, and moves with a constant velocity. The existence of shock waves is investigated in the four possible cases, namely for frozen flow, for two kinds of partly frozen flow, and for equilibrium flow. It is shown that, in all these cases, compressive shocks may exist, if the upstream velocity exceeds the velocity of sound appropriate to the type of flow. Rarefaction shocks are impossible in each case. Moreover, it is shown that the downstream values of the flow parameters are determined uniquely, and the direction of their change is given. Only rather general assumptions concerning the behaviour of the gas are needed. The paper takes into account the influence of the finite particle volume fraction unlike most previous papers on the topic.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 3 , 18 September 1969 , pp. 633 - 655
Copyright
© 1969 Cambridge University Press

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References

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