Three dimensional finite element analysis for Rayleight-Benard convection in rectangular enclosures
作者： Lu Yiling , Wan Hui , Lu Xiyun , Zhuang Lixian
DOI: 10.1007/BF02487466
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摘要: The pattern of Rayleigh-Benard convection air in a rectangular box heated-from-below is studied by numerically solving the three-dimensional time-dependent Navier-Stokes equations under Boussinesq approximation. Slightly supercritical Rayleigh number was adopted to track evolutions flow structure as function enclosure's aspect ratio (A=L/H). will asymptotically evolve different patterns, among which, two possible types are found. One consists pair straight vortex rolls and other appears closed rings. transition between patterns indicates that there exists bifurcation with variation container's ratio. In addition, both steady oscillatory flows have been observed, corresponding ring, respectively. complexity tends increase increasing enclosure.
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Werner Pesch, Lorenz Kramer, General Mathematical Description of Pattern-Forming Instabilities Partially Ordered Systems. pp. 69- 90 ,(1996) , 10.1007/978-1-4612-3994-9_3
W. Pesch, Complex spatiotemporal convection patterns Chaos: An Interdisciplinary Journal of Nonlinear Science. ,vol. 6, pp. 348- 357 ,(1996) , 10.1063/1.166194
D. Mukutmoni, K. T. Yang, Rayleigh-Bénard Convection in a Small Aspect Ratio Enclosure: Part I—Bifurcation to Oscillatory Convection Journal of Heat Transfer-transactions of The Asme. ,vol. 115, pp. 360- 366 ,(1993) , 10.1115/1.2910687
H.G. Choi, H. Choi, J.Y. Yoo, A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods Computer Methods in Applied Mechanics and Engineering. ,vol. 143, pp. 333- 348 ,(1997) , 10.1016/S0045-7825(96)01156-5
T. Fusegi, J.M. Hyun, K. Kuwahara, B. Farouk, A numerical study of three-dimensional natural convection in a differentially heated cubical enclosure International Journal of Heat and Mass Transfer. ,vol. 34, pp. 1543- 1557 ,(1991) , 10.1016/0017-9310(91)90295-P
Donald D. Gray, Aldo Giorgini, The validity of the boussinesq approximation for liquids and gases International Journal of Heat and Mass Transfer. ,vol. 19, pp. 545- 551 ,(1976) , 10.1016/0017-9310(76)90168-X
R. Hernández, R.L. Frederick, Spatial and thermal features of three dimensional Rayleigh-Bénard convection International Journal of Heat and Mass Transfer. ,vol. 37, pp. 411- 424 ,(1994) , 10.1016/0017-9310(94)90075-2
M. C. Cross, P. C. Hohenberg, Pattern formation outside of equilibrium Reviews of Modern Physics. ,vol. 65, pp. 851- 1112 ,(1993) , 10.1103/REVMODPHYS.65.851
Vincent Croquette, Convective pattern dynamics at low Prandtl number: Part I Contemporary Physics. ,vol. 30, pp. 113- 133 ,(1989) , 10.1080/00107518908222594
G. De Vahl Davis, Natural convection of air in a square cavity: A bench mark numerical solution International Journal for Numerical Methods in Fluids. ,vol. 3, pp. 249- 264 ,(1983) , 10.1002/FLD.1650030305