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Intrusion into a stratified fluid

Published online by Cambridge University Press:  29 March 2006

P. C. Manins
P. C. Manins
Affiliation:
CSIRO Division of Atmospheric Physics, P.O. Box 77, Mordialloc, Victoria 3195, Australia
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Abstract

Preliminary measurements have been made of the debouching of homogeneous fluid from a broad source at its equilibrium depth into a linearly stratified tank of salt water. With c the velocity of the nose of the intrusion, h its half-thickness near the source, N the environmental buoyancy frequency and v the kinematic viscosity of the fluid, it is shown for 100 [lsim ] Re ≡ 2ch/ν [lsim ] 500 that the intrusion becomes practically steady under an inertia-buoyancy balance. The internal Froude number Fr = c/Nh is shown to be of order unity. Forward-propagating disturbances and the ends of the tank are inferred to play an important part in the flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 3 , 6 April 1976 , pp. 547 - 560
Copyright
© 1976 Cambridge University Press

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References

Benjamin, T. B. 1968 Gravity currents and related phenomena J. Fluid Mech. 31, 209–248.Google Scholar
Browand, F. K. & Winant, C. D. 1972 Blocking ahead of a cylinder moving in a stratified fluid: an experiment. Geophys. Fluid Dyn. 4, 29–810.Google Scholar
Fortuin, J. M. H. 1960 Theory and application of two supplementary methods of constructing density gradient columns J. Polymer Sci. 44, 505–515.Google Scholar
Foster, M. R. & Safeman, P. G. 1970 The drag of a body moving transversely in a confined stratified fluid J. Fluid Mech. 43, 407–418.Google Scholar
Freund, D. D. & Meyer, R. E. 1972 On the mechanism of blocking in a stratified fluid J. Fluid Mech. 54, 719–744.Google Scholar
Graebel, W. P. 1969 On the slow motion of bodies in stratified and rotating fluids Quart. J. Mech. Appl. Math. 22, 39–54.Google Scholar
Janowitz, G. S. 1968 On wakes in stratified fluids J. Fluid Mech. 33, 417–432.Google Scholar
Janowitz, G. S. 1971 The slow transverse motion of a flat plate through a non-diffusive stratified fluid J. Fluid Mech. 47, 171–181.Google Scholar
Janowitz, G. S. 1974 Blocking in slow stratified flows J. Geophys. Res. 79, 1265–1268.Google Scholar
Mcewan, A. D. & Baines, P. G. 1974 Shear fronts and an experimental stratified shear flow J. Fluid Mech. 63, 257–272.Google Scholar
Manins, P. C. 1973 Confined convective flows. Ph.D thesis, University of Cambridge.
Maxworthy, T. 1972 Experimental and theoretical studies of horizontal jets in a stratified fluid. IAHR/AIRH Int. Symp. on Stratified Flows, Novosibirsk, communication 17.
Mied, R. P. & Merceret, F. J. 1968 The construction of a simple conductivity probe. Johns Hopkins University, Dept. Mech. Rep.
Pao, H.-P. & Kao, T. W. 1974 Dynamics of establishment of selective withdrawal of a stratified fluid from a line sink. Part 1. Theory J. Fluid Mech. 65, 657–688.Google Scholar
Wilkinson, D. L. & Wood, I. R. 1972 Some observations on the motion of the head of a density current J. Hydraul. Res. 10, 305–324.Google Scholar
Wong, K. K. & Kao, T. W. 1970 Stratified flow over extended obstacles and its application to topographical effect on vertical wind shear J. Atmos. Sci. 27, 884–889.Google Scholar
Zuluaga-Angel, A., Darden, R. B. & Fischer, H. B. 1972 Flow into a stratified reservoir. U.S. Environ. Protection Agency Wash. Rep. EPA-R2-72-037.Google Scholar