Large‐scale flows and resonances in 2‐D thermal convection
作者： J. Prat , J. M. Massaguer , I. Mercader
DOI: 10.1063/1.868732
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摘要: Recent experiments of thermal convection in finite containers intermediate and large aspect ratios have shown the presence flows spanning largest dimension container [R. Krishnamurti L. N. Howard, Proc. Natl. Acad. Sci. 78, 1985 (1981); J. Fluid Mech. 170, 385 (1986)]. Large‐scale this kind computed from two‐dimensional (2‐D) numerical simulations are presented. The marginal stability curves for bifurcations range L=1,...,6 Prandtl number σ =10. nonlinear dynamics bifurcated solution is explored with L=1,2,4. By increasing Rayleigh criticality system produces different sequences symmetry breaking, Hopf‐type bifurcations, which finally result scale flows, oscillatory net mass flux chaos. bifurcation involves mode resonances vertical horizontal couplings, modeled using formal group theoretical techniques.
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Josep M Massaguer, None, Shear Type Instabilities in the Benard Problem Springer, Boston, MA. pp. 247- 256 ,(1991) , 10.1007/978-1-4615-3750-2_22
G. P. Ginet, R. N. Sudan, Numerical observations of dynamic behavior in two-dimensional compressible convection Physics of Fluids. ,vol. 30, pp. 1667- 1677 ,(1987) , 10.1063/1.866231
P.C. Matthews, M.R.E. Proctor, A.M. Rucklidge, N.O. Weiss, Pulsating waves in nonlinear magnetoconvection Physics Letters A. ,vol. 183, pp. 69- 75 ,(1993) , 10.1016/0375-9601(93)90891-3
Jiro Mizushima, Kaoru Fujimura, Higher harmonic resonance of two-dimensional disturbances in Rayleigh-Bénard convection Journal of Fluid Mechanics. ,vol. 234, pp. 651- 667 ,(1992) , 10.1017/S0022112092000958
J. M. Massaguer, E. A. Spiegel, J.‐P. Zahn, Convection‐induced shears for general planforms Physics of Fluids. ,vol. 4, pp. 1333- 1335 ,(1992) , 10.1063/1.858410
D. Armbruster, 0(2)-symmetric bifurcation theory for convection rolls Physica D: Nonlinear Phenomena. ,vol. 27, pp. 433- 439 ,(1987) , 10.1016/0167-2789(87)90042-X
R. Krishnamurti, L. N. Howard, Large-scale flow generation in turbulent convection Proceedings of the National Academy of Sciences of the United States of America. ,vol. 78, pp. 1981- 1985 ,(1981) , 10.1073/PNAS.78.4.1981
A.S. Landsberg, E. Knobloch, Direction-reversing traveling waves Physics Letters A. ,vol. 159, pp. 17- 20 ,(1991) , 10.1016/0375-9601(91)90155-2
J. M. Massaguer, Large‐scale flow and pattern drift in finite amplitude convection Physics of Fluids. ,vol. 6, pp. 2304- 2316 ,(1994) , 10.1063/1.868181
John M. Finn, Nonlinear interaction of Rayleigh–Taylor and shear instabilities Physics of Fluids B: Plasma Physics. ,vol. 5, pp. 415- 432 ,(1993) , 10.1063/1.860527