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One-dimensional shock turbulence in a compressible fluid

Published online by Cambridge University Press:  29 March 2006

Tomomasa Tatsumi  and
Hiroshi Tokunaga
Tomomasa Tatsumi
Affiliation:
Department of Physics, Faculty of Science, University of Kyoto, Japan
Hiroshi Tokunaga
Affiliation:
Department of Mechanical Engineering, Faculty of Industrial Arts, Kyoto Technical University, Japan
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Abstract

The interactions of weak nonlinear disturbances in a compressible fluid including shocks, expansion waves and contact surfaces are investigated by making use of the reductive perturbation method. It is found that the nonlinear waves belonging to different families of characteristics behave almost independently of each other, while those belonging to the same family are governed by either the Burgers equation or the equation of heat conduction. Thus the statistical properties of one-dimensional shock turbulence in a compressible fluid are reduced to those of the solutions of the Burgers equation. In particular, the law of energy decay of shock turbulence is shown to be identical to that of Burgers turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 65 , Issue 3 , 16 September 1974 , pp. 581 - 601
Copyright
© 1974 Cambridge University Press

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