Pulsating turbulence in a marginally unstable stratified shear flow
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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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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Deep Cycle Turbulence in Atlantic and Pacific Cold Tongues
Moum, J. N., Hughes, K. G., Shroyer, E. L., Smyth, W. D., Cherian, D., Warner, S. J., Bourlès, B., Brandt, P., & Dengler, M. (2022) · Geophysical Research Letters · doi:10.1029/2021gl097345 · Cited by 34 · see citing works
Self-citation
- 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
- Publisher
- Cambridge University Press (CUP)
- 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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