Density Ratio and Entrainment Effects on Asymptotic Rayleigh–Taylor Instability-Reference-Cited by-同舟云学术

Density Ratio and Entrainment Effects on Asymptotic Rayleigh–Taylor Instability

Published:2017-12-22 Issue:5 Volume:140 Page:
ISSN:0098-2202
Container-title:Journal of Fluids Engineering
language:en
Short-container-title:

Author:

Shimony Assaf¹²,Malamud Guy¹³,Shvarts Dov⁴¹⁵

Affiliation:

1. Physics Department, NRCN, Beer-Sheva 84190, Israel;

2. Physics Department, BGU, Beer-Sheva 84015, Israel e-mail:

3. Climate and Space Sciences and Engineering Department, University of Michigan, Ann Arbor, MI 48109

4. Climate and Space Sciences and Engineering Department, University of Michigan, Ann Arbor, MI 48109;

5. Physics Department, BGU, Beer-Sheva 84015, Israel

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 (RTI). 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, α, 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 (two-dimensional (2D)/three-dimensional (3D)) and to numerical miscibility.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/doi/10.1115/1.4038400/6058225/fe_140_05_050906.pdf

Reference33 articles.

1. Rayleigh-Taylor and Kelvin-Helmholtz Instabilities in Targets Accelerated by Laser Ablation;Phys. Rev. Lett.,1982

2. Non-Spherical Core-Collapse Supernovae: Evolution Towards Homologous Expansion this Paper Is Published as Part of a Collection in Honour of Todd Dupont's 65th Birthday;Nonlinearity,2009

3. Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios;Phys. Rev. Lett.,1995

4. Dimensionality Dependence of the Rayleigh–Taylor and Richtmyer–Meshkov Instability Late-Time Scaling Laws;Phys. Plasmas,2001

5. Elbaz, Y., 2014, “The Effect of Initial Conditions on Rayleigh-Taylor and Richtmyer-Meshkov Instabilities and the Characteristics of Their Asymptotic Self-Similar Behavior,” Ph.D. thesis, Ben-Gurion University of the Negev, Beersheba, Israel.

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