Secondary Kelvin-Helmholtz instability in weakly stratified shear flow Public Deposited

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  • The growth of secondary vortices on the braids separating Kelvin–Helmholtz billows is investigated via numerical simulations. The similarity theory of Corcos & Sherman (1976) is extended to include mixing processes with Prandtl number greater than unity, and is shown to provide a useful description of the physics of the braid regions just prior to the onset of secondary instability. The numerical study of Staquet (1995) is extended to include a wider range of Prandtl numbers and bulk Richardson numbers. Length and time scales of the secondary instability are compared with predictions based on normal-mode stability analysis of the braids. The onset of instability is shown to be accompanied by a dramatic increase in mixing efficiency in the braid region, emphasizing the potential importance of preturbulent Kelvin–Helmholtz billows for mixing stratified fluids.
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  • Smyth, W. D. (2003). Secondary Kelvin-Helmholtz instability in weakly stratified shear flow. Journal of Fluid Mechanics, 401, 67-98.
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  • Journal of Fluid Mechanics
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  • Vol. 497 (2003)

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