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Title: Explicit growth rates for the Rayleigh-Taylor instability in exponential density profiles

Abstract

We consider the Rayleigh-Taylor instability in exponential density profiles and derive two approximate expressions for the growth rate that are explicit and involve only the Atwood number {ital A} and the wave number {ital k}. Our results agree with the exact growth rate within 6--12 %. We also point out that a recently published expression deviates from the exact growth rate for practically all values of {ital A} and {ital k} (M. H. Emery, J. P. Dahlburg, and J. H. Gardner, Phys. Fluids 31, 1007 (1988)).

Authors:
 [1]
  1. Lawrence Livermore National Laboratory, Livermore, California 94550 (US)
Publication Date:
OSTI Identifier:
5287127
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Journal Name:
Physical Review (Section) A: General Physics; (USA)
Additional Journal Information:
Journal Volume: 40:8; Journal ID: ISSN 0556-2791
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FLUIDS; RAYLEIGH-TAYLOR INSTABILITY; BINARY MIXTURES; BOUNDARY CONDITIONS; INSTABILITY GROWTH RATES; INTERFACES; LAYERS; DISPERSIONS; INSTABILITY; MIXTURES; 640410* - Fluid Physics- General Fluid Dynamics

Citation Formats

Mikaelian, K O. Explicit growth rates for the Rayleigh-Taylor instability in exponential density profiles. United States: N. p., 1989. Web. doi:10.1103/PhysRevA.40.4801.
Mikaelian, K O. Explicit growth rates for the Rayleigh-Taylor instability in exponential density profiles. United States. https://doi.org/10.1103/PhysRevA.40.4801
Mikaelian, K O. 1989. "Explicit growth rates for the Rayleigh-Taylor instability in exponential density profiles". United States. https://doi.org/10.1103/PhysRevA.40.4801.
@article{osti_5287127,
title = {Explicit growth rates for the Rayleigh-Taylor instability in exponential density profiles},
author = {Mikaelian, K O},
abstractNote = {We consider the Rayleigh-Taylor instability in exponential density profiles and derive two approximate expressions for the growth rate that are explicit and involve only the Atwood number {ital A} and the wave number {ital k}. Our results agree with the exact growth rate within 6--12 %. We also point out that a recently published expression deviates from the exact growth rate for practically all values of {ital A} and {ital k} (M. H. Emery, J. P. Dahlburg, and J. H. Gardner, Phys. Fluids 31, 1007 (1988)).},
doi = {10.1103/PhysRevA.40.4801},
url = {https://www.osti.gov/biblio/5287127}, journal = {Physical Review (Section) A: General Physics; (USA)},
issn = {0556-2791},
number = ,
volume = 40:8,
place = {United States},
year = {Sun Oct 15 00:00:00 EDT 1989},
month = {Sun Oct 15 00:00:00 EDT 1989}
}