The lattice Boltzmann equation for natural convection in a two-dimensional cavity with a partially heated wall

被引:69
作者
Barrios, G [1 ]
Rechtman, R [1 ]
Rojas, J [1 ]
Tovar, R [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Ctr Invest & Energia, Temixco 62580, Morelos, Mexico
关键词
D O I
10.1017/S0022112004001983
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The lattice Boltzmann equation method in two dimensions was used to analyse natural convective flows. The method was validated with experiments in an open cavity with one of the vertical walls divided into two parts, the lower part conductive, the upper part and all the other walls adiabatic. An upward thermal boundary layer formed near the conductive wall. This layer gave way to a wall plume. The numerical results compared well with experiments in the laminar (Ra = 2.0 x 10(9)) and transition (Ra = 4.9 x 10(9)) regimes. The behaviour of the starting plume was numerically studied for Rayleigh numbers Ra from 101 to 4.9 x 10(9). The wall plume grows in three stages: in the first with constant acceleration, in the second with constant ascending velocity and in the third with negative acceleration due to the presence of the top boundary layer. The acceleration of the first stage and the velocity of the second both scale with the Rayleigh number.
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页码:91 / 100
页数:10
相关论文
共 30 条
[1]  
BARRIOS G, 2003, THESIS UNAM
[2]   THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS [J].
BENZI, R ;
SUCCI, S ;
VERGASSOLA, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03) :145-197
[3]   ON THE SCALING OF THE VELOCITY AND TEMPERATURE STRUCTURE FUNCTIONS IN RAYLEIGH-BENARD CONVECTION [J].
BENZI, R ;
TRIPICCIONE, R ;
MASSAIOLI, F ;
SUCCI, S ;
CILIBERTO, S .
EUROPHYSICS LETTERS, 1994, 25 (05) :341-346
[4]   A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].
BHATNAGAR, PL ;
GROSS, EP ;
KROOK, M .
PHYSICAL REVIEW, 1954, 94 (03) :511-525
[5]   Lattice Boltzmann modeling of interfacial gravity waves [J].
Buick, JM ;
Greated, CA .
PHYSICS OF FLUIDS, 1998, 10 (06) :1490-1511
[6]   RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].
CHEN, HD ;
CHEN, SY ;
MATTHAEUS, WH .
PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342
[7]   Lattice Boltzmann method for fluid flows [J].
Chen, S ;
Doolen, GD .
ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :329-364
[8]  
DOOLEN GD, 1990, LATTICE GAS METHODS
[9]   LATTICE-GAS AUTOMATA FOR THE NAVIER-STOKES EQUATION [J].
FRISCH, U ;
HASSLACHER, B ;
POMEAU, Y .
PHYSICAL REVIEW LETTERS, 1986, 56 (14) :1505-1508
[10]  
Frisch U., 1987, Complex Systems, V1, P649