THE ROLE OF SELF-CONSISTENT LAGRANGIAN CHAOS IN BENARD CONVECTION IN AN ANNULUS

被引:15
作者
FINN, JM [1 ]
HERMIZ, K [1 ]
机构
[1] UNIV MARYLAND,PLASMA RES LAB,COLL PK,MD 20742
来源
PHYSICS OF FLUIDS B-PLASMA PHYSICS | 1993年 / 5卷 / 11期
关键词
D O I
10.1063/1.860613
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The nonlinear behavior of the two-dimensional Benard problem with periodic boundary conditions in the horizontal direction is studied with particular emphasis on the role of self-consistent chaotic advection. The results show a complex interplay between vortices driven by the Benard (Rayleigh-Taylor) instability and shear flow, which is driven by the vortices [J. Drake et al., Phys. Fluids B 4, 4881 (1992)] and which causes their decay. Chaotic advection occurs in the transition from the low Rayleigh number (Ra) regime to the high Ra regime [J. Finn, Phys. Fluids B 5, 415 (1993)]. For the former, vortex flow and shear flow coexist, possibly with slow relaxation oscillations. In the high Ra regime there are vortices localized near the upper and lower boundaries with a shear flow in between. As Ra is decreased from the high Ra regime, these vortices broaden, eventually overlapping, causing self-consistent Lagrangian chaos. This onset of chaos is responsible for several properties of the transition state between the low Ra and the high Ra regimes, most notably the damping of the relaxation oscillations involving vortex and shear flow. It is also observed that the Nusselt number Nu has a peak with respect to Ra in this transition regime characterized by Lagrangian chaos. In the low Ra regime, on the other hand, the relaxation oscillations are on a much slower time scale than the eddy turnover time and the Lagrangian behavior is described by separatrix crossing.
引用
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页码:3897 / 3907
页数:11
相关论文
共 20 条
  • [1] SHORT-WAVELENGTH INSTABILITY IN A LINEAR-ARRAY OF VORTICES
    CARDOSO, O
    WILLAIME, H
    TABELING, P
    [J]. PHYSICAL REVIEW LETTERS, 1990, 65 (15) : 1869 - 1872
  • [2] ADIABATIC-INVARIANT CHANGE DUE TO SEPARATRIX CROSSING
    CARY, JR
    ESCANDE, DF
    TENNYSON, JL
    [J]. PHYSICAL REVIEW A, 1986, 34 (05): : 4256 - 4275
  • [3] UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS
    CHIRIKOV, BV
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05): : 263 - 379
  • [4] NUMERICAL SIMULATIONS OF SOFT AND HARD TURBULENCE - PRELIMINARY-RESULTS FOR 2-DIMENSIONAL CONVECTION
    DELUCA, EE
    WERNE, J
    ROSNER, R
    CATTANEO, F
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (20) : 2370 - 2373
  • [5] PEELING OF CONVECTION CELLS AND THE GENERATION OF SHEARED FLOW
    DRAKE, JF
    FINN, JM
    GUZDAR, P
    SHAPIRO, V
    SHEVCHENKO, V
    WAELBROECK, F
    HASSAM, AB
    LIU, CS
    SAGDEEV, R
    [J]. PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1992, 4 (03): : 488 - 491
  • [6] NONLINEAR-INTERACTION OF RAYLEIGH-TAYLOR AND SHEAR INSTABILITIES
    FINN, JM
    [J]. PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1993, 5 (02): : 415 - 432
  • [7] INSTABILITY OF FLUID VORTICES AND GENERATION OF SHEARED FLOW
    FINN, JM
    DRAKE, JF
    GUZDAR, PN
    [J]. PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1992, 4 (09): : 2758 - 2768
  • [8] NUMERICAL OBSERVATIONS OF DYNAMIC BEHAVIOR IN TWO-DIMENSIONAL COMPRESSIBLE CONVECTION
    GINET, GP
    SUDAN, RN
    [J]. PHYSICS OF FLUIDS, 1987, 30 (06) : 1667 - 1677
  • [9] STUDY OF GIANT EDGE-LOCALIZED MODES IN DIII-D AND COMPARISON WITH BALLOONING THEORY
    GOHIL, P
    MAHDAVI, MA
    LAO, L
    BURRELL, KH
    CHU, MS
    DEBOO, JC
    HSIEH, CL
    OHYABU, N
    SNIDER, RT
    STAMBAUGH, RD
    STOCKDALE, RE
    [J]. PHYSICAL REVIEW LETTERS, 1988, 61 (14) : 1603 - 1606
  • [10] GROEBNER RJ, 1989, 16TH P EUR C CONTR F, P245