Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-20T12:35:25.291Z Has data issue: false hasContentIssue false

The dynamics of double-diffusive gravity currents

Published online by Cambridge University Press:  20 April 2006

T. Maxworthy
Affiliation:
Departments of Mechanical and Aerospace Engineering, University of Southern California, Los Angeles, CA 90089

Abstract

Gravity currents or intrusions for which the fluid within the current contains a substance that gives it a diffusivity different from that of its surroundings are very common both in natural and technological applications. The interface between the two fluids can become the site of either a ‘fingering’ or a ‘diffusive’ type of instability, and vigorous convection and material exchange occurs (Turner 1975). This transfer of material has several important effects upon the dynamics of the intrusion. Horizontal momentum can be transferred across the interface to create a stress which in many cases dominates the more conventional viscous stresses. Entrainment into the convective plume beneath the intrusion and, in a container of finite depth, the formation of a secondary, bottom-boundary current, creates a flow external to the main intrusion which modifies its behaviour even more. Two cases have been studied: the release of a fixed volume of fluid and the injection of fluid at a constant rate for both types of interface. Several experiments on the motion of an intrusion for which the interface is essentially non-diffusive are presented for comparison.

Type
Research Article
Copyright
© 1983 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Didden, N. & Maxworthy, T. 1982 The viscous spreading of plane and axisymmetric gravity currents J. Fluid Mech. 121, 2742.Google Scholar
Fischer, H. B. 1971 The dilution of an undersea sewage cloud by salt fingers Water Res. 5, 909915.Google Scholar
Griffiths, R. W. & Ruddick, B. R. 1980 Accurate fluxes across a salt-sugar finger interface deduced from direct density measurements J. Fluid Mech. 99, 8595.Google Scholar
Hoult, D. P. 1972 Oil spreading on the sea. Ann. Rev. Fluid Mech. 4, 341368.Google Scholar
Huppert, H. E. 1982 The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface J. Fluid Mech. 121, 4358.Google Scholar
Huppert, H. E. & Simpson, J. E. 1980 The slumping of gravity currents J. Fluid Mech. 99, 785799.Google Scholar
Huppert, H. E. & Turner, J. S. 1981 Double-diffusive convection J. Fluid Mech. 106, 299329.Google Scholar
Linden, P. E. 1974 Salt fingers in steady flow Geophys. Fluid Dyn. 6, 127.Google Scholar
Macdougall, T. 1982 A model of a frictionless double-diffusive gravity current on a horizontal surface. Rep. R.E.S., Austr. Natl Univ., Canberra.
Maxworthy, T. 1983 Gravity current with variable inflow J. Fluid Mech. 128, 247257.Google Scholar
Ruddick, B. & Turner, J. S. 1979 The vertical length scale of double-diffusive intrusions Deep-Sea Res. 26, 903913.Google Scholar
Shirtcliffe, T. G. L. 1973 Transport and profile measurements of the diffusive interface in double diffusive convection with similar diffusivities J. Fluid Mech. 57, 2743.Google Scholar
Simpson, J. S. 1982 Gravity currents in the laboratory, atmosphere and ocean Ann. Rev. Fluid Mech. 14, 213234.Google Scholar
Stern, M. E. & Turner, J. S. 1969 Salt fingers and convecting layers Deep-Sea Res. 16, 497511.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, 2887.Google Scholar