Vortex-merger statistical-mechanics model for the late time self-similar evolution of the Kelvin-Helmholtz instability

被引:33
作者
Rikanati, A [1 ]
Alon, U
Shvarts, D
机构
[1] Nucl Res Ctr, Dept Phys, IL-84190 Negev, Israel
[2] Ben Gurion Univ Negev, Dept Phys, IL-84015 Beer Sheva, Israel
[3] Weizmann Inst Sci, Dept Phys Complex Syst & Mol Cell Biol, IL-76100 Rehovot, Israel
[4] Ben Gurion Univ Negev, Dept Mech Engn, IL-84015 Beer Sheva, Israel
关键词
D O I
10.1063/1.1624837
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The nonlinear growth, of the multimode incompressible Kelvin-Helmholtz shear flow instability at all density ratios is treated by a large-scale statistical-mechanics eddy-pairing model that is based on the behavior of a single eddy and on the two eddy pairing process. From the model, a linear time growth of the mixing zone is obtained and the linear growth coefficient is derived for several density ratios. Furthermore, the asymptotic eddy size distribution and the average eddy life time probability are calculated. Very good agreement with experimental results and full numerical simulations is achieved. (C) 2003 American Institute of Physics.
引用
收藏
页码:3776 / 3785
页数:10
相关论文
共 28 条
[1]   SCALE-INVARIANT MIXING RATES OF HYDRODYNAMICALLY UNSTABLE INTERFACES [J].
ALON, U ;
HECHT, J ;
MUKAMEL, D ;
SHVARTS, D .
PHYSICAL REVIEW LETTERS, 1994, 72 (18) :2867-2870
[2]   POWER LAWS AND SIMILARITY OF RAYLEIGH-TAYLOR AND RICHTMYER-MESHKOV MIXING FRONTS AT ALL DENSITY RATIOS [J].
ALON, U ;
HECHT, J ;
OFER, D ;
SHVARTS, D .
PHYSICAL REVIEW LETTERS, 1995, 74 (04) :534-537
[3]   SCALE-INVARIANT REGIME IN RAYLEIGH-TAYLOR BUBBLE-FRONT DYNAMICS [J].
ALON, U ;
SHVARTS, D ;
MUKAMEL, D .
PHYSICAL REVIEW E, 1993, 48 (02) :1008-1014
[4]  
[Anonymous], 1969, FLUID DYNAM+
[5]  
BAKHRAKH SM, 1995, P 5 INT WORKSH COMPR
[6]   STREAMWISE VORTEX STRUCTURE IN PLANE MIXING LAYERS [J].
BERNAL, LP ;
ROSHKO, A .
JOURNAL OF FLUID MECHANICS, 1986, 170 :499-525
[7]   THE STATISTICS OF THE ORGANIZED VORTICAL STRUCTURE IN TURBULENT MIXING LAYERS [J].
BERNAL, LP .
PHYSICS OF FLUIDS, 1988, 31 (09) :2533-2543
[9]   DENSITY EFFECTS AND LARGE STRUCTURE IN TURBULENT MIXING LAYERS [J].
BROWN, GL ;
ROSHKO, A .
JOURNAL OF FLUID MECHANICS, 1974, 64 (JUL24) :775-&
[10]   VORTICITY CONCENTRATION AND DYNAMICS OF UNSTABLE FREE SHEAR LAYERS [J].
CORCOS, GM ;
SHERMAN, FS .
JOURNAL OF FLUID MECHANICS, 1976, 73 (JAN27) :241-264