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The stability of axisymmetric free shear layers

Published online by Cambridge University Press:  29 March 2006

Martin Lessen  and
Pawan Jit Singh
Martin Lessen
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, New York
Pawan Jit Singh
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, New York
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Abstract

The stability of laminar axisymmetric jets and wakes, the two prominent examples of free shear layers, is investigated with respect to linear azimuthally periodic disturbances. The complete viscous disturbance equations are integrated numerically and the eigenvalues are obtained by matching the numerically advanced solutions to the asymptotic solutions at a large radius. Both spatial and temporal stability are examined for inviscid and viscid flows. It is found that the critical Reynolds number for the jet and the wake are not much different while the amplification rates for the wake become considerably greater than those for the jet as the Reynolds number increases. The axisymmetric shear-layer flows also seem to be more stable than the corresponding plane flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 3 , 18 September 1973 , pp. 433 - 457
Copyright
© 1973 Cambridge University Press

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