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On the stability of shear flow in a rotating gas

Published online by Cambridge University Press:  29 March 2006

Roger F. Gans
Roger F. Gans
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, Rochester, New York 14627
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Abstract

The linear stability of a rotating contained perfect gas flowing axially is shown to depend on a ‘centrifugal Richardson number’ when the ratio of the axial flow to the peripheral velocity, and the ratio of the peripheral velocity to the sound speed are both small. The Boussinesq approximation is not made. In the limit of infinite sound speed the known incompressible result (unstable, Pedley 1968) is reproduced. Comparison with computational results indicates that the asymptotic theory is pessimistic.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 2 , 25 March 1975 , pp. 403 - 412
Copyright
© 1975 Cambridge University Press

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References

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Ince, E. L. 1956 Ordinary Differential Equations. Dover.
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Pedley, T. J. 1968 J. Fluid Mech. 31, 603.
Pedley, T. J. 1969 J. Fluid Mech. 35, 97.
Plobeck, L. V. 1974 M.S. thesis, Department of Aeronautics and Astronautics; Massachusetts Institute of Technology.
Serrin, J. 1959 Arch. Rat. Mech. Anal. 3, 1.