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Negative shock waves

Published online by Cambridge University Press:  29 March 2006

P. A. Thompson  and
K. C. Lambrakis
P. A. Thompson
Affiliation:
Division of Fluid, Chemical and Thermal Processes, Rensselaer Polytechnic Institute, Troy, New York
K. C. Lambrakis
Affiliation:
Division of Fluid, Chemical and Thermal Processes, Rensselaer Polytechnic Institute, Troy, New York
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Abstract

Negative or rarefaction shock waves may exist in single-phase fluids under certain conditions. It is necessary that a particular fluid thermodynamic quantity Γ ≡ −½δ In (δP/δν)s/δ In ν be negative: this condition appears to be met for sufficiently large specific heat, corresponding to a sufficient level of molecular complexity. The dynamic formation and evolution of a negative shock is treated, as well as its properties. Such shocks satisfy stability conditions and have a positive, though small, entropy jump. The viscous shock structure is found from an approximate continuum model. Possible experimental difficulties in the laboratory production of negative shocks are briefly discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 1 , 21 August 1973 , pp. 187 - 208
Copyright
© 1973 Cambridge University Press

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