Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-12-01T02:19:17.203Z Has data issue: false hasContentIssue false

Heat, salt and momentum transport in a laboratory thermohaline staircase

Published online by Cambridge University Press:  18 September 2009

R. KRISHNAMURTI*
Affiliation:
Department of Oceanography and Geophysical Fluid Dynamics Institute, Florida State University, Tallahassee, FL 32306, USA
*
Email address for correspondence: [email protected]

Abstract

Flow characteristics and fluxes in thermohaline staircases are measured in two tanks differing in aspect ratio A, where A is the ratio of tank width to fluid depth. In one tank (the ‘1 × 1’ tank) which is 30 cm deep and 30 cm wide, a staircase of one salt-finger layer and one convecting layer develops for a certain setting of the control parameters. The convecting layer has A ≃ 2. Shadowgraphs show convecting plumes that appear disorganized, and a large-scale flow never develops. Instead, the finger layer grows in height, overtakes the convecting layer and within a few days becomes one finger layer. The second tank (the ‘1 × 5’ tank) is also 30 cm deep but is 150 cm wide. For the same control parameter setting a similar staircase with a finger layer 20 cm deep and a convecting layer 10 cm deep develop. The convecting layer, with A = 15, has quite a different character. A large-scale flow develops so that the convecting layer has one cell, 10 cm deep and 150 cm wide. In this flow are large plumes which are transient and tilted; particle image velocimetry measurements of Reynolds stresses show they help to maintain the large-scale flow against viscous dissipation. Shadowgraphs show all the finger tips swept in the direction of the large-scale flow adjacent to the finger layer. Measurements show that the large-scale flow ‘collects’ the salt delivered by the many fingers so that the accumulated negative buoyancy leads to deep convection. This is a more stable arrangement, with the configuration lasting to the order of 102 days.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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

REFERENCES

Castaign, B.Gunrantne, G., Heslot, F., Kadanoff, L., Libchaber, A., Thomae, S., Wu, X.-Z., Zaleski, S. & Zanetti, G. 1989 Scaling of hard thermal turbulence in Rayleigh–Bénard convection. J. Fluid Mech. 204, 130.Google Scholar
Christiansen, K. T., Soloff, S. M. & Adrian, R. J. 2001 PIV Sleuth: integrated particle image velocimetry (PIV) interrogation/validation software. Tech Rep. 943. Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign.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.CrossRefGoogle Scholar
Krishnamurti, R. 2005 Double-diffusive interleaving on horizontal gradients. J. Fluid Mech. 558, 113131.CrossRefGoogle Scholar
Krishnamurti, R. 2003 Double-diffusive transport in laboratory thermohaline staircases. J.Fluid Mech. 483, 287314.CrossRefGoogle Scholar
Krishnamurti, R. 1995 Low-frequency oscillations in turbulent Rayleigh–Bénard convection: laboratory experiments. Fluid Dyn. Res. 16, 87108.CrossRefGoogle Scholar
Krishnamurti, R. & Howard, L. N. 1981 Large-scale flow generation in turbulent convection. Proc. Natl Acad. Sci. 78, 19811985.CrossRefGoogle ScholarPubMed
Lambert, R. B. & Demenkow, J. W. 1972 On the vertical transport due to fingers in double-diffusive convection. J. Fluid Mech. 54, 627640.CrossRefGoogle Scholar
Oster, G. 1965 Density gradients. Scient. Am. 213, 7076.CrossRefGoogle Scholar
Radko, T. 2005 What determines the thickness of layers in a thermohaline staircase? J. Fluid Mech. 253, 7998.CrossRefGoogle Scholar
Ruddick, B. R. & Shirtcliffe, T. G. L. 1979 Data for double-diffusers: Physical properties of aqueous salt-sugar solutions. Deep-Sea Res. 26A, 7757873.CrossRefGoogle Scholar
Schmitt, R. W. 1979 Flux measurements at an interface. J. Mar. Res. 37, 419436.Google Scholar