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Waves in a gas in solid-body rotation

Published online by Cambridge University Press:  29 March 2006

J. B. Morton  and
E. J. Shaughnessy
J. B. Morton
Affiliation:
Department of Aerospace Engineering and Engineering Physics, University of Virginia, Charlottesville
E. J. Shaughnessy
Affiliation:
Department of Aerospace Engineering and Engineering Physics, University of Virginia, Charlottesville
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Abstract

The axial and transverse wave motions of an inviscid perfect gas in isothermal solid-body rotation in a cylinder are investigated. Solutions of the resulting eigenvalue problem are shown to correspond to two types of waves. The acoustic waves are the rotational counterparts of the well-known Rayleigh solutions for a gas at rest in a cylinder. The rotational waves, whose amplitudes and frequencies go to zero in the non-rotating limit, exhibit phase speeds both larger and smaller than the speed of sound. The effect of rotation on the frequency and structure of these waves is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 2 , 28 November 1972 , pp. 277 - 286
Copyright
© 1972 Cambridge University Press

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