Vortex-merger statistical-mechanics model for the late time self-similar evolution of the Kelvin-Helmholtz instability

A. Rikanati; U. Alon; D. Shvarts

doi:10.1063/1.1624837

Vortex-merger statistical-mechanics model for the late time self-similar evolution of the Kelvin-Helmholtz instability

A. Rikanati, U. Alon, D. Shvarts

Research output: Contribution to journal › Article › peer-review

Abstract

The nonlinear growth, of the multimode incompressible Kelvin-Helmholtz shear flow instability at all density ratios is treated by a large-scale statistical-mechanics eddy-pairing model that is based on the behavior of a single eddy and on the two eddy pairing process. From the model, a linear time growth of the mixing zone is obtained and the linear growth coefficient is derived for several density ratios. Furthermore, the asymptotic eddy size distribution and the average eddy life time probability are calculated. Very good agreement with experimental results and full numerical simulations is achieved.

Original language	English
Pages (from-to)	3776-3785
Number of pages	10
Journal	Physics of Fluids
Volume	15
Issue number	12
DOIs	https://doi.org/10.1063/1.1624837
State	Published - Dec 2003
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.1624837

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abstract = "The nonlinear growth, of the multimode incompressible Kelvin-Helmholtz shear flow instability at all density ratios is treated by a large-scale statistical-mechanics eddy-pairing model that is based on the behavior of a single eddy and on the two eddy pairing process. From the model, a linear time growth of the mixing zone is obtained and the linear growth coefficient is derived for several density ratios. Furthermore, the asymptotic eddy size distribution and the average eddy life time probability are calculated. Very good agreement with experimental results and full numerical simulations is achieved.",

author = "A. Rikanati and U. Alon and D. Shvarts",

year = "2003",

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doi = "10.1063/1.1624837",

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AU - Alon, U.

AU - Shvarts, D.

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N2 - The nonlinear growth, of the multimode incompressible Kelvin-Helmholtz shear flow instability at all density ratios is treated by a large-scale statistical-mechanics eddy-pairing model that is based on the behavior of a single eddy and on the two eddy pairing process. From the model, a linear time growth of the mixing zone is obtained and the linear growth coefficient is derived for several density ratios. Furthermore, the asymptotic eddy size distribution and the average eddy life time probability are calculated. Very good agreement with experimental results and full numerical simulations is achieved.

AB - The nonlinear growth, of the multimode incompressible Kelvin-Helmholtz shear flow instability at all density ratios is treated by a large-scale statistical-mechanics eddy-pairing model that is based on the behavior of a single eddy and on the two eddy pairing process. From the model, a linear time growth of the mixing zone is obtained and the linear growth coefficient is derived for several density ratios. Furthermore, the asymptotic eddy size distribution and the average eddy life time probability are calculated. Very good agreement with experimental results and full numerical simulations is achieved.

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ER -

Vortex-merger statistical-mechanics model for the late time self-similar evolution of the Kelvin-Helmholtz instability

Abstract

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