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research-article

Density ratio and entrainment effects on asymptotic Rayleigh-Taylor instability

[+] Author and Article Information
Assaf Shimony

Physics Department, NRCN, Beer-Sheva, 84190, Israel; Physics Department, BGU, Beer-Sheva, 84015, Israel
shimonya@gmail.com

Guy Malamud

Physics Department, NRCN, Beer-Sheva, 84190, Israel; Climate and Space Sciences and Engineering Department, University of Michigan, Ann Arbor, MI 48109
guy.malamud@gmail.com

Dov Shvarts

Climate and Space Sciences and Engineering Department, University of Michigan, Ann Arbor, MI 48109; Physics Department, NRCN, Beer-Sheva, 84190, Israel; Physics Department, BGU, Beer-Sheva, 84015, Israel
dshvarts@umich.edu

1Corresponding author.

ASME doi:10.1115/1.4038400 History: Received December 01, 2016; Revised October 09, 2017

Abstract

A comprehensive numerical study was performed, in order to examine the effect of density ratio on the mixing process inside the mixing zone formed by Rayleigh-Taylor instability. This effect exhibits itself in the mixing parameters and increase of the density of the bubbles. The motivation of this work is to relate the density of the bubbles to the growth parameter for the self-similar evolution, a, we suggest an effective Atwood formulation, found to be approximately half of the original Atwood number. We also examine the sensitivity of the parameters above to the dimensionality (2D/3D) and to numerical miscibility.

Copyright (c) 2017 by ASME
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