Cited by 24Fluid Dynamics and Turbulent FlowsOceanographic and Atmospheric ProcessesOcean Waves and Remote Sensing

Pulsating turbulence in a marginally unstable stratified shear flow

Smyth, W. D., Pham, H. T., Moum, J. N., Sarkar, S.·2017·Journal of Fluid Mechanics

Abstract

We describe a simple model for turbulence in a marginally unstable, forced, stratified shear flow. The model illustrates the essential physics of marginally unstable turbulence, in particular the tendency of the mean flow to fluctuate about the marginally unstable state. Fluctuations are modelled as an oscillatory interaction between the mean shear and the turbulence. The interaction is made quantitative using empirically established properties of stratified turbulence. The model also suggests a practical way to estimate both the mean kinetic energy of the turbulence and its viscous dissipation rate. Solutions compare favourably with observations of fluctuating ‘deep cycle’ turbulence in the equatorial oceans.

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Crossref · 10.1017/jfm.2017.283

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  • Commonalities in the vertical structure and magnitude of ε are seen via scaling of ε by τ•Sh/ρ0, where τ is the surface wind stress, Sh is the mean value of Sh over the DC layer and ρ0 a mean water density.

    “Commonalities in the vertical structure and magnitude of ϵ are seen via scaling of ϵ by τ •Sh/ρ 0 , where τ is the surface wind stress, Sh is the mean value of Sh over the DC layer and ρ 0 a mean water density (Smyth et al., 2017).”

    From Deep Cycle Turbulence in Atlantic and Pacific Cold Tongues (2022) · cites this paper as Smyth et al., 2017

  • The model of pulsating DC turbulence derived by Smyth et al. (2017) pertains to night-time only and was tested using data between 20 m and 70 m depth in a regime of exceptionally strong DC, November 2008 at 140W; in that case the scaled value was 0.86.

    “Note that the model of pulsating DC turbulence derived by Smyth et al. (2017) pertains to night-time only and was tested using data between 20m and 70m depth in a regime of exceptionally strong DC, [November 2008 at 140W; see (Moum et al., 2009)].In that case the scaled value was 0.86.”

    From Deep Cycle Turbulence in Atlantic and Pacific Cold Tongues (2022) · cites this paper as Smyth et al., 2017

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Authors
Smyth, W. D., Pham, H. T., Moum, J. N., & Sarkar, S.
Affiliations
  • Oregon State University (US)
  • University of California San Diego (US)
Corresponding author
Smyth, W. D.
Venue
Journal of Fluid Mechanics
Published
2017-06-01
Volume
822
Pages
327-341
ISSN
  • 0022-1120 (ISSN-L)
  • 1469-7645
OpenAlex
W2621071828
Cited by
24
References
0
Citations by year
2025: 2 · 2024: 2 · 2023: 2 · 2022: 6 · 2021: 4 · 2020: 4 · 2019: 2 · 2017: 2
FWCI
1.73
Type
journal article
Language
en
Open access
closed
Locations
Journal of Fluid Mechanics (publishedVersion)
Funders
National Science Foundation
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
  • Physical Sciences › Earth and Planetary Sciences › Oceanography › Oceanographic and Atmospheric Processes
  • Physical Sciences › Earth and Planetary Sciences › Oceanography › Ocean Waves and Remote Sensing
Keywords
stratified turbulence, turbulent kinetic energy, viscous dissipation rate

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