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本文采用DNS方法计算二维方腔Rayleigh-Bnard热对流. 在软湍流区热对流场呈现大尺度环流和两个反向转动的角涡,并出现了大尺度环流的反转现象. 连续的温度等值线和流线图清晰地描述了反转现象的全过程. 在反转过程中,角涡的大小尺度变化起到重要的作用. 对角涡大小尺度变化的分析发现,在反转现象中其角涡尺度随时间的变化出现剧烈的振荡,而没有反转现象的热对流场中角涡尺度变化只有小幅的脉动. 对反转过程前后的角涡大小尺度、典型位置速度及角点附近温度等流动特性进行了探讨和分析,发现反转是在瞬间完成的,角涡内速度脉动较小、温度较高,反转前角涡尺度与角涡侧壁垂向速度变化具有同步性.The two-dimensional Rayleigh-Bnard convection is calculated by DNS method. A large scale circulation and two corner vortices with reverse rotation are presented in soft turbulent convection, and the reversal phenomenon of the large scale circulation appears. Continuous temperature contour and the streamline chart describe the whole process of the reversal clearly. In the process of the reversal, the changes of the corner vortex size play an important role. Analysis of the corner vortex size change shows that the changes appear violent oscillation in the thermal flow field with the reversal, but only slight pulsation is found without the reversal. Corner vortex size, velocity at the typical position, and the temperature near the angle location in the process of reversal are discussed. The reversal is found to be done in an instant, and the velocity pulse is smaller and the temperature is higher in the corner vortex. The corner vortex size and the vertical velocity on the side wall vary synchronistically before the reversal.
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Keywords:
- Rayleigh-B /
- nard convection /
- large scale circulation /
- reversal
[1] Mutabazi I, Wesfreid J E, Guyon E 2006 Springer Tracts in Modern Phys. Springer 207 41 65B
[2] [3] Kadanoff L P 2001 Phys. Today 54 8 34 39
[4] [5] [6] Heslot F, Castaing B, Libchaber 1987 Phys. Rev. A 36 12 5870 5873
[7] Castaing G, Gunaratne F, Heslot L 1989 J. Fluid Mech. 24 1 30
[8] [9] [10] Ahlers G, Funfschilling D, Bodenschatz E 2009 New J. Phys. 11 123001
[11] [12] Grossmann S, Lohse D 2011 Phys. Fluids 23 045108
[13] Ahlers G, Bodenschats E, Funfschilling D 2012 Phys. Rev. Lett. 109 114501
[14] [15] Ahlers G, Grossmann S, Lohse D 2009 Rev. of Modern Phys. 81 503 537
[16] [17] Xia K Q 2013 Theo. & Appl. Mech. Lett. 052001
[18] [19] Ahlers G, He X, Funfschilling D, Bodenschats E 2012 New J. Phys. 14 103012
[20] [21] Cioni S, Ciliberto S, Sommeria J 1997 J. Fluid Mech. 335 111
[22] [23] Niemela J J, Skrbek L, Sreenivasan K R, Donnelly R J 2001 J. Fluid Mech. 449 169
[24] [25] Brown E, Nikolaenko A, Ahlers G 2005 Phys. Rev. Lett. 95 084503
[26] [27] Xi H, Xia K Q 2007 Phys. Rev. E 75 066307
[28] [29] [30] Gayen B, Hughes G O, Griffiths R W 2013 Phys. Rev. Lett. 111 124301
[31] Poel E P, Stevens R J A M, Lohse D 2013 J. Fluid Mech. 736 177 194
[32] [33] [34] Stevens R J A M, Clercx H J H, Lohse D 2013 Euro. J. Mech. 40 41 49
[35] [36] Zhou Q, Xia K Q 2012 Advances in Mech. 42 231 251 (in Chinese) [周全, 夏克清 2013 力学进展 42 231 251]
[37] [38] Guo Y L, Xu H H, Shen S Q, Wei L 2013 Acta Phys. Sin. 62 144704 (in Chinese) [郭亚丽等 2013 62 144704]
[39] Xu W, Bao Y 2013 Acta Mech. Sin.45 666 (in Chinese) [徐炜, 包芸 2013 力学学报 45 666 ]
[40] [41] Ning H 2013 Master Thesis (in Chinese) [宁浩2013硕士论文]
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[1] Mutabazi I, Wesfreid J E, Guyon E 2006 Springer Tracts in Modern Phys. Springer 207 41 65B
[2] [3] Kadanoff L P 2001 Phys. Today 54 8 34 39
[4] [5] [6] Heslot F, Castaing B, Libchaber 1987 Phys. Rev. A 36 12 5870 5873
[7] Castaing G, Gunaratne F, Heslot L 1989 J. Fluid Mech. 24 1 30
[8] [9] [10] Ahlers G, Funfschilling D, Bodenschatz E 2009 New J. Phys. 11 123001
[11] [12] Grossmann S, Lohse D 2011 Phys. Fluids 23 045108
[13] Ahlers G, Bodenschats E, Funfschilling D 2012 Phys. Rev. Lett. 109 114501
[14] [15] Ahlers G, Grossmann S, Lohse D 2009 Rev. of Modern Phys. 81 503 537
[16] [17] Xia K Q 2013 Theo. & Appl. Mech. Lett. 052001
[18] [19] Ahlers G, He X, Funfschilling D, Bodenschats E 2012 New J. Phys. 14 103012
[20] [21] Cioni S, Ciliberto S, Sommeria J 1997 J. Fluid Mech. 335 111
[22] [23] Niemela J J, Skrbek L, Sreenivasan K R, Donnelly R J 2001 J. Fluid Mech. 449 169
[24] [25] Brown E, Nikolaenko A, Ahlers G 2005 Phys. Rev. Lett. 95 084503
[26] [27] Xi H, Xia K Q 2007 Phys. Rev. E 75 066307
[28] [29] [30] Gayen B, Hughes G O, Griffiths R W 2013 Phys. Rev. Lett. 111 124301
[31] Poel E P, Stevens R J A M, Lohse D 2013 J. Fluid Mech. 736 177 194
[32] [33] [34] Stevens R J A M, Clercx H J H, Lohse D 2013 Euro. J. Mech. 40 41 49
[35] [36] Zhou Q, Xia K Q 2012 Advances in Mech. 42 231 251 (in Chinese) [周全, 夏克清 2013 力学进展 42 231 251]
[37] [38] Guo Y L, Xu H H, Shen S Q, Wei L 2013 Acta Phys. Sin. 62 144704 (in Chinese) [郭亚丽等 2013 62 144704]
[39] Xu W, Bao Y 2013 Acta Mech. Sin.45 666 (in Chinese) [徐炜, 包芸 2013 力学学报 45 666 ]
[40] [41] Ning H 2013 Master Thesis (in Chinese) [宁浩2013硕士论文]
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