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Finger puzzles

Published online by Cambridge University Press:  24 January 2012

R. W. Schmitt
R. W. Schmitt*
Affiliation:
Department of Physical Oceanography, Woods Hole Oceanographic Institution, Woods Hole, MA 02543, USA
*
†Email address for correspondence: rschmitt@whoi.edu
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Abstract

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Salt fingers are a form of double-diffusive convection that can occur in a wide variety of fluid systems, ranging from stellar interiors and oceans to magma chambers. Their amplitude has long been difficult to quantify, and a variety of mechanisms have been proposed. Radko & Smith (J. Fluid Mech., this issue, vol. 692, 2012, pp. 5–27) have developed a new theory that balances the basic growth rate with that of secondary instabilities that act on the finite amplitude fingers. Their approach promises a way forward for computationally challenging systems with vastly different scales of decay for momentum, heat and dissolved substances.

JFM classification

Convection: Double diffusive convection Instability: Instability Geophysical and Geological Flows: Ocean processes
Type
Focus on Fluids
Information
Journal of Fluid Mechanics , Volume 692 , 10 February 2012 , pp. 1 - 4
Copyright
Copyright © Cambridge University Press 2012

References

1.Hage, E. & Tilgner, A. 2010 High Rayleigh number convection with double diffusive fingers. Phys. Fluids 22, 076603.CrossRefGoogle Scholar
2.Holyer, J. Y. 1984 The stability of long, steady, two-dimensional salt fingers. J. Fluid Mech. 147, 169–185.CrossRefGoogle Scholar
3.Krishnamurti, R. 2009 Heat, salt and momentum transport in a laboratory thermohaline staircase. J. Fluid Mech. 638, 491–506.CrossRefGoogle Scholar
4.Kunze, E. 1987 Limits on growing, finite-length salt fingers: a Richardson number constraint. J. Mar. Res. 45, 533–556.CrossRefGoogle Scholar
5.Radko, T. 2003 A mechanism for layer formation in a double-diffusive fluid. J. Fluid Mech. 497, 365–380.CrossRefGoogle Scholar
6.Radko, T. 2005 What determines the thickness of layers in a thermohaline staircase? J. Fluid Mech. 523, 79–98.CrossRefGoogle Scholar
7.Radko, T. & Smith, D. 2012 Equilibrium transport in double-diffusive convection. J. Fluid Mech. 692, 5–27.CrossRefGoogle Scholar
8.Radko, T. & Stern, M. E. 1999 Salt fingers in three dimensions. J. Mar. Res. 57, 471–502.CrossRefGoogle Scholar
9.Schmitt, R. W. 1983 The characteristics of salt fingers in a variety of fluid systems, including stellar interiors, liquid metals, oceans, and magmas. Phys. Fluids 26, 2373–2377.CrossRefGoogle Scholar
10.Schmitt, R. W. 1995 The salt finger experiments of Jevons (1857) and Rayleigh (1880). J. Phys. Oceanogr. 25, 8–17.2.0.CO;2>CrossRefGoogle Scholar
11.Schmitt, R. W., Ledwell, J. R., Montgomery, E. T., Polzin, K. L. & Toole, J. M. 2005 Enhanced diapycnal mixing by salt fingers in the thermocline of the tropical Atlantic. Science 308, 685–688.CrossRefGoogle ScholarPubMed
12.Shen, C. Y. 1995 Equilibrium salt-fingering convection. Phys. Fluids 7, 706–717.CrossRefGoogle Scholar
13.Stern, M. E. 1960 The ‘salt fountain’ and thermohaline convection. Tellus 12, 172–175.CrossRefGoogle Scholar
14.Stern, M. E. 1969 Collective instability of salt fingers. J. Fluid Mech. 35, 209–218.CrossRefGoogle Scholar