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On the near-equilibrium and near-frozen regions in an expansion wave in a relaxing gas

Published online by Cambridge University Press:  28 March 2006

J. G. Jones
J. G. Jones
Affiliation:
Royal Aircraft Establishment, Bedford
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Abstract

A weak expansion wave propagating in a relaxing gas is discussed with particular reference to the ‘near-equilibrium’ and ‘near-frozen’ regions. The concept of bulk viscosity is used in conjunction with Burger's equation in the near-equilibrium region. The asymptotic equilibrium simple wave is modified by diffusive regions in the neighbourhood of the first and last rays. It is shown that in the case of a weak expansion wave, Chu's asymptotic solution of the acoustic equation describes the wave-form for a finite time interval before convection effects become noticeable. In the near-frozen region a characteristic perturbation method is used to describe the flow near the wave-front.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 1 , May 1964 , pp. 81 - 102
Copyright
© 1964 Cambridge University Press

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