Statistical mechanics merger model for hydrodynamic instabilities

A. Rikanati, Dan Oron, U. Alon, D. Shvarts

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The nonlinear growth of the multimode Rayleigh-Taylor (RT), Richtmyer-Meshkov (RM), and Kelvin-Helmholtz (KH) instabilities is treated by a similar statistical mechanics merger model, using bubbles as the elementary particle in the RM and RT instabilities and eddies in the KH instability. Two particle interaction is demonstrated and merger rates are calculated. Using a statistical merger model, the mixing front evolution scaling law is derived. For the RT bubble front height a scaling law of αAgt2, with α ≅ 0.05, is derived. For the RM bubble front, a power law of t0.4 is obtained for all Atwood numbers. For the KH case the mixing zone grows linearly with time through a mechanism of eddy merger. Good agreement with simulations and experiments is achieved.

Original languageEnglish
Pages (from-to)451-457
Number of pages7
JournalAstrophysical Journal, Supplement Series
Volume127
Issue number2
DOIs
Publication statusPublished - Apr 2000

Fingerprint

statistical mechanics
merger
mechanics
Kelvin-Helmholtz instability
bubbles
hydrodynamics
bubble
scaling laws
vortices
eddy
Taylor instability
elementary particles
particle interactions
power law
simulation
experiment
particle

Keywords

  • Hydrodynamics
  • Instabilities

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

Statistical mechanics merger model for hydrodynamic instabilities. / Rikanati, A.; Oron, Dan; Alon, U.; Shvarts, D.

In: Astrophysical Journal, Supplement Series, Vol. 127, No. 2, 04.2000, p. 451-457.

Research output: Contribution to journalArticle

Rikanati, A. ; Oron, Dan ; Alon, U. ; Shvarts, D. / Statistical mechanics merger model for hydrodynamic instabilities. In: Astrophysical Journal, Supplement Series. 2000 ; Vol. 127, No. 2. pp. 451-457.
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