Solutions to buoyancy - Drag equation for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone

Y. G. Cao; Wan Ki Chow; Nai Kong Fong

doi:10.1088/0253-6102/56/4/26

Solutions to buoyancy - Drag equation for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone

Y. G. Cao, Wan Ki Chow, Nai Kong Fong

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

6 Citations (Scopus)

Abstract

With a self-similar parameter b(At) = Hi/ λi, where At is the Atwood number, Hi and λi are the amplitude and wavelength of bubble (i = 1) and spike (i = 2) respectively, we derive analytically the solutions to the buoyancy - drag equation recently proposed for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone. Numerical solutions are obtained with a simple form of b(At) = 1/(1 + At) and comparisons with recent LEM (linear electric motor) experiments are made, and an agreement is found with properly chosen initial conditions.

Original language	English
Pages (from-to)	751-755
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	56
Issue number	4
DOIs	https://doi.org/10.1088/0253-6102/56/4/26
Publication status	Published - 1 Oct 2011

Keywords

Buoyancy-Drag equation
Rayleigh-Taylor mixing
Richtmyer-Meshkov mixing

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/0253-6102/56/4/26

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abstract = "With a self-similar parameter b(At) = Hi/ λi, where At is the Atwood number, Hi and λi are the amplitude and wavelength of bubble (i = 1) and spike (i = 2) respectively, we derive analytically the solutions to the buoyancy - drag equation recently proposed for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone. Numerical solutions are obtained with a simple form of b(At) = 1/(1 + At) and comparisons with recent LEM (linear electric motor) experiments are made, and an agreement is found with properly chosen initial conditions.",

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T1 - Solutions to buoyancy - Drag equation for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone

AU - Cao, Y. G.

AU - Chow, Wan Ki

AU - Fong, Nai Kong

PY - 2011/10/1

Y1 - 2011/10/1

N2 - With a self-similar parameter b(At) = Hi/ λi, where At is the Atwood number, Hi and λi are the amplitude and wavelength of bubble (i = 1) and spike (i = 2) respectively, we derive analytically the solutions to the buoyancy - drag equation recently proposed for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone. Numerical solutions are obtained with a simple form of b(At) = 1/(1 + At) and comparisons with recent LEM (linear electric motor) experiments are made, and an agreement is found with properly chosen initial conditions.

AB - With a self-similar parameter b(At) = Hi/ λi, where At is the Atwood number, Hi and λi are the amplitude and wavelength of bubble (i = 1) and spike (i = 2) respectively, we derive analytically the solutions to the buoyancy - drag equation recently proposed for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone. Numerical solutions are obtained with a simple form of b(At) = 1/(1 + At) and comparisons with recent LEM (linear electric motor) experiments are made, and an agreement is found with properly chosen initial conditions.

KW - Buoyancy-Drag equation

KW - Rayleigh-Taylor mixing

KW - Richtmyer-Meshkov mixing

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DO - 10.1088/0253-6102/56/4/26

M3 - Journal article

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VL - 56

SP - 751

EP - 755

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 4

ER -

Solutions to buoyancy - Drag equation for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone

Abstract

Keywords

ASJC Scopus subject areas

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