2-PHASE FLOW-ANALYSIS OF SELF-SIMILAR TURBULENT MIXING BY RAYLEIGH-TAYLOR INSTABILITY

被引:54
作者
FREED, N [1 ]
OFER, D [1 ]
SHVARTS, D [1 ]
ORSZAG, SA [1 ]
机构
[1] PRINCETON UNIV,PRINCETON,NJ 08544
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1991年 / 3卷 / 05期
关键词
D O I
10.1063/1.857967
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The evolution of a randomly perturbed interface between unbounded incompressible fluids undergoing Rayleigh-Taylor instability is analyzed numerically and theoretically. Two-dimensional simulation results, obtained with an interface tracking code, are presented and compared with a theoretical model based on Young's two-phase flow description of the mixing process. The simplifications implied by self-similarity and by high drag enable simple analytic results to be obtained for the profiles of the average volume fractions and velocities of the two materials as a function of penetration depth. Agreement of the analytic results with the simulation data is demonstrated for a wide range of density ratios.
引用
收藏
页码:912 / 918
页数:7
相关论文
共 15 条
[1]   RAYLEIGH-TAYLOR INSTABILITY OF FLUID LAYERS [J].
BAKER, GR ;
MCCRORY, RL ;
VERDON, CP ;
ORSZAG, SA .
JOURNAL OF FLUID MECHANICS, 1987, 178 :161-175
[2]   VORTEX SIMULATIONS OF THE RAYLEIGH-TAYLOR INSTABILITY [J].
BAKER, GR ;
MEIRON, DI ;
ORSZAG, SA .
PHYSICS OF FLUIDS, 1980, 23 (08) :1485-1490
[3]  
FREED N, 1990, 1988 P WORKSH PHYS C
[4]   THE DYNAMICS OF BUBBLE-GROWTH FOR RAYLEIGH-TAYLOR UNSTABLE INTERFACES [J].
GARDNER, CL ;
GLIMM, J ;
MCBRYAN, O ;
MENIKOFF, R ;
SHARP, DH ;
ZHANG, Q .
PHYSICS OF FLUIDS, 1988, 31 (03) :447-465
[5]  
HIRT CW, 1974, J COMPUT PHYS, V14, P227, DOI [10.1016/0021-9991(74)90051-5, 10.1006/jcph.1997.5702]
[6]   NONLINEAR FREE-SURFACE RAYLEIGH-TAYLOR INSTABILITY [J].
KULL, HJ .
PHYSICAL REVIEW A, 1986, 33 (03) :1957-1967
[7]   2-DIMENSIONAL SIMULATION OF FLUID INSTABILITY IN LASER-FUSION PELLETS [J].
LINDL, JD ;
MEAD, WC .
PHYSICAL REVIEW LETTERS, 1975, 34 (20) :1273-1276
[8]   EXPERIMENTAL INVESTIGATION OF TURBULENT MIXING BY RAYLEIGH-TAYLOR INSTABILITY [J].
READ, KI .
PHYSICA D, 1984, 12 (1-3) :45-58
[9]   AN OVERVIEW OF RAYLEIGH-TAYLOR INSTABILITY [J].
SHARP, DH .
PHYSICA D, 1984, 12 (1-3) :3-18
[10]   RAYLEIGH-TAYLOR OVERTURN IN SUPER-NOVA CORE COLLAPSE [J].
SMARR, L ;
WILSON, JR ;
BARTON, RT ;
BOWERS, RL .
ASTROPHYSICAL JOURNAL, 1981, 246 (02) :515-525