• Korn, G. A., , and T. M. Korn, 1968: Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. McGraw-Hill, 1130 pp.

    • Search Google Scholar
    • Export Citation
  • Kuzmina, N. P., , and V. B. Rodionov, 1992: Influence of baroclinicity on the formation of thermohaline intrusions in ocean frontal zones. Izv. Atmos. Oceanic Phys, 28 , 804810.

    • Search Google Scholar
    • Export Citation
  • Kuzmina, N. P., , and V. Zhurbas, 2000: Effects of double diffusion and turbulence on interleaving at baroclinic oceanic fronts. J. Phys. Oceanogr, 30 , 30253038.

    • Search Google Scholar
    • Export Citation
  • May, B. D., , and D. E. Kelley, 1997: Effect of baroclinicity on double-diffusive interleaving. J. Phys. Oceanogr, 27 , 19972008.

  • McDougall, T. J., 1985: Double-diffusive interleaving. Part I: Linear stability analysis. J. Phys. Oceanogr, 15 , 15321541.

  • Schmitt, R. W., 1979: The growth rate of super-critical salt fingers. Deep-Sea Res, 26A , 2340.

  • Schmitt, R. W., 1981: Form of the temperature–salinity relationship in the central water: Evidence for double-diffusive mixing. J. Phys. Oceanogr, 11 , 10151026.

    • Search Google Scholar
    • Export Citation
  • Stern, M. E., 1967: Lateral mixing of water masses. Deep-Sea Res, 14 , 747753.

  • Toole, J. M., , and D. T. Georgi, 1981: On the dynamics and effects of double-diffusively driven intrusions. Progress in Oceanography, Vol. 10, Pergamon, 306–325.

    • Search Google Scholar
    • Export Citation
  • Walsh, D., , and B. Ruddick, 1995: Double-diffusively driven intrusions: The influence of nonconstant diffusivities. J. Phys. Oceanogr, 25 , 348358.

    • Search Google Scholar
    • Export Citation
  • Walsh, D., , and B. Ruddick, 2000: Double-diffusive interleaving in the presence of turbulence—The effect of a nonconstant flux ratio. J. Phys. Oceanogr, 30 , 22312245.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 129 129 6
PDF Downloads 18 18 6

Can Turbulence Suppress Double-Diffusively Driven Interleaving Completely?

View More View Less
  • 1 Shirshov Institute of Oceanology, Moscow, Russia
  • | 2 Department of Oceanography and Research Institute of Oceanography, Seoul National University, Seoul, South Korea
© Get Permissions Rent on DeepDyve
Restricted access

Abstract

A linear stability problem is formulated to investigate the effect of turbulence on double-diffusively driven thermohaline interleaving in rotating media. Three cases are considered: (a) intrusions with an alongfront slope in rotating media, (b) intrusions with zero alongfront slope in nonrotating media, (c) intrusions with zero alongfront slope, where the Coriolis force is retained. The physical reason for case c is that the large-scale vertical geostrophic shear in baroclinic fronts will rotate any intrusion with nonzero alongfront slope as long as the alongfront slope vanishes. In all three cases, turbulence works to suppress interleaving so that the growth rate of the fastest growing intrusion decreases with the increase of turbulent diffusivity k*. However, in cases a and b the growing intrusions exist for any finite value of k*, while in case c there is a marginal (maximum) value of k* beyond which growing intrusions do not exist.

Corresponding author address: Prof. Im Sang Oh, Research Institute of Oceanography, College of Natural Sciences, Seoul National University, Seoul 151-742, South Korea. Email: ois@storm.snu.ac.kr

Abstract

A linear stability problem is formulated to investigate the effect of turbulence on double-diffusively driven thermohaline interleaving in rotating media. Three cases are considered: (a) intrusions with an alongfront slope in rotating media, (b) intrusions with zero alongfront slope in nonrotating media, (c) intrusions with zero alongfront slope, where the Coriolis force is retained. The physical reason for case c is that the large-scale vertical geostrophic shear in baroclinic fronts will rotate any intrusion with nonzero alongfront slope as long as the alongfront slope vanishes. In all three cases, turbulence works to suppress interleaving so that the growth rate of the fastest growing intrusion decreases with the increase of turbulent diffusivity k*. However, in cases a and b the growing intrusions exist for any finite value of k*, while in case c there is a marginal (maximum) value of k* beyond which growing intrusions do not exist.

Corresponding author address: Prof. Im Sang Oh, Research Institute of Oceanography, College of Natural Sciences, Seoul National University, Seoul 151-742, South Korea. Email: ois@storm.snu.ac.kr

Save