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Long-wavelength instability of a line plume

Published online by Cambridge University Press:  21 April 2006

John R. Lister
John R. Lister
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
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Abstract

The stability of a steacty, laminar, immiscible, dense line plume falling through a fluid whose horizontal extent is much larger than the plume thickness is investigated. It is shown analytically that the primary flow is linearly unstable in the limit of large wavelength and, if surface tension is negligible, is also unstable in the limit of small Reynolds number. A rich variety of modes of perturbation exist, characterized by a range of balances on different lengthscales between diffusion, advection and propagation of vorticity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 175 , February 1987 , pp. 413 - 428
Copyright
© 1987 Cambridge University Press

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