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A point source of heat in a stable salinity gradient

Published online by Cambridge University Press:  20 April 2006

A. B. Tsinober
Affiliation:
Faculty of Engineering, Tel-Aviv University, Israel
Y. Yahalom
Affiliation:
Faculty of Engineering, Tel-Aviv University, Israel
D. J. Shlien
Affiliation:
Faculty of Engineering, Tel-Aviv University, Israel Present address: Mechanical Engineering Department, 255 Nebraska Engineering Center, University of Nebraska, Lincoln, Nebraska 68588, U.S.A.

Abstract

When a salinity gradient is heated at a single point, a hot plume is formed with a series of layers around and above it in a ‘Christmas-tree’ flow pattern. Qualitative visual observations of the development of this system are reported. Three kinds of layers are observed: the first kind is formed above the basic plume from a hierarchy of secondary plumes on top of the basic one, the second develops around the upper part of the basic plume, and is driven by the same mechanism as the layers in sidewall-heating experiments, and the third, forming around the lower part of the basic plume, is of the same nature as the second type but also has something in common with double-diffusive intrusions. A characteristic feature for all the three kinds of layers is the existence of systematic shearing motions and vortices. Quantitative estimates for the plume height and the thickness of the layers are obtained.

Type
Research Article
Copyright
© 1983 Cambridge University Press

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References

Chashechkin, Y. D. & Tupitsyn, V. S. 1979 Structure of free convective flow above a point source of heat in a stratified liquid Sov. Phys. Dokl. 24, 862864.Google Scholar
Chen, C. F., Briggs, D. G. & Wirtz, R. A. 1971 Stability of thermal convection in a salinity gradient due to lateral heating Intl J. Heat Mass Transfer 14, 5765.Google Scholar
Fischer, H. 1971 The dilution of an undersea sewage cloud by salt fingers Water Res. 5, 909915.Google Scholar
Hubbell, R. H. & Gebhart, B. 1974 Transport processes induced by a heated horizontal cylinder submerged in quiescent salt-stratified water. In Proc. 1974 Heat Transfer and Fluid Mechanics Institute, pp. 203219.
Huppert, H. E. & Linden, P. F. 1979 On heating a salinity gradient from below J. Fluid Mech. 95, 431464.Google Scholar
Huppert, H. E. & Turner, J. S. 1980 Ice blocks melting into a salinity gradient J. Fluid Mech. 100, 367384.Google Scholar
Huppert, H. E. & Turner, J. S. 1981 Double-diffusive convection J. Fluid Mech. 106, 299329.Google Scholar
Nekrasov, V. N., Popov, V. A. & Chashechkin, YU. D. 1976 Formation of a periodic convective flow structure during lateral heating of a stratified fluid Bull. Acad. Sci. USSR, Atmos. Oceanic Phys. 12, 733739.Google Scholar
Paliwal, R. C. & Chen, C. F. 1980 Double-diffusive instability in an inclined fluid layer. Part 1. Experimental investigation J. Fluid Mech. 98, 755768.Google Scholar
Popov, V. A. & Chashechkin, YU. D. 1979 On the structure of thermohaline convection in a stratified fluid Bull. Acad. Sci. USSR, Atmos. Oceanic Phys. 15, 668675.Google Scholar
Ruddick, B. R. & Turner, J. S. 1979 The vertical length scale of double-diffusive intrusions Deep-Sea Res. 26, 903913.Google Scholar
Sherman, F. S., Imberger, J. & Corcos, G. M. 1978 Turbulence and mixing in stably stratified water Ann. Rev. Fluid Mech. 10, 267288.Google Scholar
Shlien, D. J. & Thompson, D. W. 1975 Some experiments on the motion of an isolated laminar thermal J. Fluid Mech. 72, 3547.Google Scholar
Thorpe, S. A., Hutt, P. K. & Soulsby, R. 1969 The effect of horizontal gradients on thermohaline convection J. Fluid Mech. 38, 375400.Google Scholar
Tupitsyn, V. S. & Chashechkin, YU. D. 1981 Free convection above a point source of heat in a stratified fluid. Izv. Akad. Nauk SSSR, Mekh. Zhid. i Gaza no. 2, 27–36.Google Scholar
Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
Turner, J. S. 1974 Double-diffusive phenomena Ann. Rev. Fluid Mech. 6, 3756.Google Scholar
Turner, J. S. 1978 Double-diffusive intrusions into a density gradient J. Geophys Res. 83, 28872901.Google Scholar
Turner, J. S. 1979 Laboratory models of double-diffusive processes in Ocean. In Proc. 12th Symp. Naval Hydr., Washington D.C., pp. 596606.Google Scholar
Turner, J. S., & Chen, C. F. 1974 Two-dimensional effects in double-diffusive convection J. Fluid Mech. 63, 577592.Google Scholar
Turner, J. S. & Gustafson, L. B. 1978 The flow of hot saline solutions from vents in the sea floor - some implications for exhalative massive sulfide and other ore deposits Econ. Geol. 73, 10821100.CrossRefGoogle Scholar
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