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Cited by 45Oceanographic and Atmospheric ProcessesFluid Dynamics and Turbulent FlowsMeteorological Phenomena and Simulations

The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.

Double-diffusive interleaving due to horizontal gradients

Holyer, Judith Y.·1983·Journal of Fluid Mechanics
DOI 10.1017/s002211208300244x
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Abstract

In this paper we present a linear stability analysis for an unbounded, vertically stratified fluid which has compensating horizontal temperature and salinity gradients, so there is no horizontal density gradient. We obtain the most unstable perturbation for given linear horizontal and vertical gradients and calculate the growth rates, the vertical lengthscale of the intrusion and the slope of the intrusion to the horizontal. We show that the system is most unstable to two-dimensional disturbances and that, except for a small region in which the temperature stratification is unstable and the salinity stratification is stable, the most-unstable disturbance is non-oscillatory. We also obtain a solution to the fully nonlinear equations and calculate the fluxes of heat and salt. The nonlinear solution shows that alternating interfaces of salt-finger and diffusive interfaces will eventually appear on the intrusion when the vertical stratifications are both stable.

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Crossref · 10.1017/s002211208300244x

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17 of 17 references verified0 citation errors · 0 not checkable

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Metadata

Authors
Holyer, J. Y.
Affiliations
University of Bristol (GB)
Corresponding author
Holyer, Judith Y.
Venue
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Published
1983-12
Volume
137
Pages
347-362
ISSN
  • 0022-1120 (ISSN-L)
  • 1469-7645
DOI
10.1017/s002211208300244x
OpenAlex
W1980945186
Semantic Scholar
ec8477acf133727a50b3979967479a72190b3f2e
Cited by
45
References
17
Citations by year
2026: 1 · 2025: 1 · 2021: 2 · 2020: 1 · 2019: 1 · 2018: 1 · 2017: 2 · 2016: 2 · 2015: 1 · 2014: 1
FWCI
1.20
Type
journal article
Language
en
Open access
closed
Licence
www.cambridge.org/core/terms (unspecified, 8176 d)
Locations
Journal of Fluid Mechanics (publishedVersion)
Topics
  • Physical Sciences › Earth and Planetary Sciences › Oceanography › Oceanographic and Atmospheric Processes
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
  • Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Meteorological Phenomena and Simulations
Keywords
double-diffusive instability, salt fingering, vertical stratification, linear stability analysis, two-dimensional disturbances, heat and salt fluxes, stratified fluid

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