Document Detail

Effects of surface tension and viscosity on the growth rates of Rayleigh-Taylor and Richtmyer-Meshkov instabilities.
MedLine Citation:
PMID:  20365034     Owner:  NLM     Status:  PubMed-not-MEDLINE    
We present an analytical model for unstable interfaces with surface tension in fluids of arbitrary viscosity. Linear and nonlinear asymptotic solutions are obtained for growth rates of Rayleigh-Taylor and Richtmyer-Meshkov instabilities. In Rayleigh-Taylor instability, both surface tension and viscosity decrease the asymptotic bubble velocity. For Richtmyer-Meshkov instability, the analysis of the model suggests a dependence of the decaying rate of the bubble velocity on the relative importance of viscosity and surface tension. Results of numerical simulations are also given, and comparisons of the solutions of the model with numerical results are in good agreement.
Sung-Ik Sohn
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2009-11-24
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  80     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2009 Nov 
Date Detail:
Created Date:  2010-04-06     Completed Date:  2010-10-22     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  055302     Citation Subset:  -    
Department of Mathematics, Kangnung-Wonju National University, Kangnung 210-702, South Korea.
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