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Mixed-region collapse in a stratified fluid

Published online by Cambridge University Press:  11 April 2006

P. C. Manins
Affiliation:
Division of Atmospheric Physics, C.S.I.R.O., P.O. Box 77, MordiaUoc, Victoria 3195, Australia

Abstract

A simplified theoretical model of a collapsing mixed region in a stably stratified fluid, as studied experimentally by Wu (1969), is presented. Unlike previous work the model describes the mixed region itself in the ‘principal stage’ of collapse. An inertia-buoyancy balance assumption is invoked, resulting in good quantitative agreement with Wu's results.

Type
Research Article
Copyright
© 1976 Cambridge University Press

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References

Hartman, R. J. & Lewis, H. W. 1972 Wake collapse in a stratifiedfluid: linear treatment. J. Fluid Mech. 51, 613618.Google Scholar
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Longuet-Higgins, M. S. 1972 A class of exact, time-dependent, free-surface flows. J. Fluid Mech. 55, 613618.Google Scholar
Manins, P. C. 1973 Confined convective flows. Ph.D. dissertation, University of Cambridge.
Manins, P. C. 1976 Intrusion into a stratified fluid. J. Fluid Mech. 74, 547561.Google Scholar
Mei, C. C. 1969 Collapse of a homogeneous fluid mass in a stratified fluid. Proc. 12th IM. Cong. Appl. Mech., pp. 321330. Springer.
Orlanski, I. & Ross, B. B. 1973 Numerical simulation of the generation and breaking of internal gravity waves. J. Geophys. Res. 36, 88088826.Google Scholar
Padmanabhan, H., Ames, W. F., Kennedy, J. F. & Hung, T-K. 1970 A numerical investigation of wake deformation in density stratified fluids. J. E-gng Math. 4, 229241.Google Scholar
Schooley, A. H. & Stewart, R. W. 1963 Experiments with a self-propelled body submerged in a fluid with a vertical density gradient. J. Fluid Mech. 15, 8396.Google Scholar
Wessel, W. R. 1969 Numerical study of the collapse of a perturbation in an infinite density stratified fluid. Phys. Fluids Suppl. 12, I1 171176.Google Scholar
Wu, J. 1969 Mixed region collapse with internal wave generation in a density-stratified medium. J. Fluid Mech. 35, 531544.Google Scholar
Yotjng, J. A. & Hirt, C. W. 1972 Numerical calculation of internal wave motions. J. Fluid Mech. 56, 265276.Google Scholar