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Numerical analysis of the nonlinear propagation of plane periodic waves in a relaxing gas

Published online by Cambridge University Press:  19 April 2006

I. S. Southern  and
N. H. Johannesen
I. S. Southern
Affiliation:
Department of the Mechanics of Fluids, University of Manchester, England Present address: Rolls-Royce Ltd, Aero Division, Derby, England.
N. H. Johannesen
Affiliation:
Department of the Mechanics of Fluids, University of Manchester, England
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Abstract

The waves propagating from an oscillating plane piston into a vibrationally relaxing gas are calculated by an exact numerical method ignoring viscosity and heat conduction. Secondary effects due to the starting of the piston from rest and to acoustic streaming can be eliminated from the calculated flows, leaving a truly periodic progressive wave which can be analysed and compared with approximate solutions. It is found that for moderate amplitude waves nonlinearity is only important as a convective effect which produces higher harmonics, whereas dissipation is adequately described by linear theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 99 , Issue 2 , 25 July 1980 , pp. 343 - 364
Copyright
© 1980 Cambridge University Press

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