Hostname: page-component-848d4c4894-xm8r8 Total loading time: 0 Render date: 2024-07-07T22:18:05.399Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on lateral heating in a double-diffusive system

Published online by Cambridge University Press:  21 April 2006

T. L. Bergman  and
A. Ungan
T. L. Bergman
Affiliation:
Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
A. Ungan
Affiliation:
School of Engineering and Technology at Indianapolis, Division of Engineering, Purdue University, Indianapolis, IN 46260, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

An experimental investigation of double-diffusive convection in a two-layer, salt-stratified solution destabilized by lateral heating and cooling has been performed. Initially, diffusive regime phenomena are observed as the two uniform salinity layers are thermally driven and behave somewhat independently. As salt is transferred across the interface separating the layers, salinity stabilization decreases and complicated flow structure is observed at the interface. In the final stages before mixing, the stabilizing salinity gradient becomes small, the thermal/hydrodynamic boundary layers on the heated and cooled sidewalls penetrate the salinity interface and mixing, in the finger regime, occurs. The dimensionless mixing time is described with parameters associated with thermal and salinity buoyancy forces and the enclosure aspect ratio. Careful selection of the experimental conditions allows dimensionless interfacial salinity transport rates to be correlated with appropriate dimensionless parameters.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 194 , September 1988 , pp. 175 - 186
Copyright
© 1988 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

Bergman, T. L., Incropera, F. P. & Stevenson, W. H. 1985 Miniature fiber optic refractometer for measurement of salinity in double-diffusive thermohaline systems. Rev. Sci. Instrum. 56, 291–296.Google Scholar
Huppert, H. E., Kerr, R. C. & Hallworth, M. A. 1984 Heating or cooling a stable compositional gradient from the side. Intl J. Heat Mass Transfer 27, 1395–1401.Google Scholar
Kamotani, Y., Wang, L. W., Ostrach, S. & Jiang, H. D. 1985 Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients. Intl J. Heat Mass Transfer 28, 165–173.Google Scholar
Linden, P. F. & Shirtcliffe, T. G. L. 1978 The diffusive interface in double-diffusive convection. J. Fluid Mech. 87, 417–432.Google Scholar
Moore, M. J. & Long, R. R. 1971 An experimental investigation of turbulent stratified shearing flow. J. Fluid Mech. 49, 635–655.Google Scholar
Ostrach, S. 1980 Natural convection with combined driving forces. PhysicoChemical Hydrodyn. 1, 233–247.Google Scholar
Rhee, H. S., Koseff, J. R. & Street, R. L. 1984 Flow visualization of a recirculating flow by rheoscopic liquid and liquid crystal techniques. Exp. Fluids 2, 57–64.Google Scholar
Stickles, R. W., Ungan, A. & Viskanta, R. 1986 Natural convection in a rectangular enclosure with differentially heated end walls and a free liquid surface. PhysicoChemical Hydrodyn. 7, 161–176.Google Scholar
Turner, J. S. 1979 Buoyancy Effects in Fluids. Cambridge University Press.
Wirtz, R. A. 1977 The effect of solute layering on lateral heat transfer in an enclosure. Intl J. Heat Mass Transfer 20, 841–846.Google Scholar
Wirtz, R. A. & Reddy, C. S. 1976 Heat and mass transport across diffusive interfaces bounded by turbulent connecting regions. Intl J. Heat Mass Transfer 19, 471–478.Google Scholar
Wirtz, R. A. & Reddy, C. S. 1979 Experiments on convective layer formation and merging in a differentially heated slot. J. Fluid Mech. 91, 451–464.Google Scholar