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 language | English |
|---|---|
| Pages (from-to) | 451-457 |
| Number of pages | 7 |
| Journal | Astrophysical Journal, Supplement Series |
| Volume | 127 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2000 |
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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 journal › Article
}
TY - JOUR
T1 - Statistical mechanics merger model for hydrodynamic instabilities
AU - Rikanati, A.
AU - Oron, Dan
AU - Alon, U.
AU - Shvarts, D.
PY - 2000/4
Y1 - 2000/4
N2 - 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.
AB - 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.
KW - Hydrodynamics
KW - Instabilities
UR - http://www.scopus.com/inward/record.url?scp=4243740780&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243740780&partnerID=8YFLogxK
U2 - 10.1086/313331
DO - 10.1086/313331
M3 - Article
AN - SCOPUS:4243740780
VL - 127
SP - 451
EP - 457
JO - Astrophysical Journal, Supplement Series
JF - Astrophysical Journal, Supplement Series
SN - 0067-0049
IS - 2
ER -