The effect of cell tilting on turbulent thermal convection in a rectangular cell

被引:38
作者
Guo, Shuang-Xi [1 ]
Zhou, Sheng-Qi [1 ]
Cen, Xian-Rong [1 ]
Qu, Ling [1 ]
Lu, Yuan-Zheng [1 ,2 ]
Sun, Liang [3 ]
Shang, Xiao-Dong [1 ]
机构
[1] Chinese Acad Sci, State Key Lab Trop Oceanog, South China Sea Inst Oceanol, Guangzhou 510301, Guangdong, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
[3] Univ Sci & Technol China, Sch Earth & Space Sci, Hefei 230022, Peoples R China
关键词
Benard convection; turbulent convection; RAYLEIGH-BENARD CONVECTION; LARGE-SCALE CIRCULATION; HEAT-TRANSPORT; PRANDTL-NUMBER; OSCILLATIONS; DEPENDENCE;
D O I
10.1017/jfm.2014.655
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In the study, the influence of cell tilting on flow dynamics is explored experimentally in a rectangular cell (aspect ratios Gamma(x) = 1 and Gamma(y) = 0.25 ). The measurements are carried out in a wide range of tilt angles (0 <= beta <= pi/2 rad) at Prandtl number (Pr similar or equal to 6.3 ) and Rayleigh number (Ra similar or equal to 4.42 x 10(9) ). With the velocity measurements, the large-scale circulation (LSC) is found to be sensitive to the symmetry of the system. In the level case, the LSC is at about quarter width of the cell. As the cell is slightly tilted (beta similar or equal to 0.04 rad), the LSC moves quickly towards the boundary. With increasing beta , the LSC changes gradually from oblique ellipse-like to square-like, and to more complicated patterns. Oscillation has been found for almost all beta, and are strongest at around beta similar or equal to 0.48 rad. As beta increases, the Reynolds number (Re) initially also increases, until it reaches its maximum at the transition angle beta = 0 .15 rad, after which it gradually decreases. The cell tilting causes a pronounced reduction of the Nusselt number (Nu). As beta increases from 0 to 0.15, 1.05 and pi/2 rad, the reduction of Nu is approximately 1.4 %, 5% and 18 %, respectively. Over the ranges of 0 <= beta <= 0.15 rad, 0.15 <= beta <= 1.05 rad and 1.05 <= beta <= pi/2 rad, the decay slopes are 8.57 x 10 (2), 3.27 x 10 (2) and 0.24 rad (-1), respectively.
引用
收藏
页码:273 / 287
页数:15
相关论文
共 37 条
[1]   Prandtl-number dependence of heat transport in turbulent Rayleigh-Benard convection [J].
Ahlers, G ;
Xu, XC .
PHYSICAL REVIEW LETTERS, 2001, 86 (15) :3320-3323
[2]  
Ahlers G., 2009, Physics, V2, P74
[3]   The search for slow transients, and the effect of imperfect vertical alignment, in turbulent Rayleigh-Benard convection [J].
Ahlers, Guenter ;
Brown, Eric ;
Nikolaenko, Alexei .
JOURNAL OF FLUID MECHANICS, 2006, 557 :347-367
[4]   Heat transfer and large scale dynamics in turbulent Rayleigh-Benard convection [J].
Ahlers, Guenter ;
Grossmann, Siegfried ;
Lohse, Detlef .
REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :503-537
[5]   Numerical and experimental study of natural convection in tilted parallelepipedic cavities for large Rayleigh numbers [J].
Bairi, A. ;
Laraqi, N. ;
de Maria, J. M. Garia .
EXPERIMENTAL THERMAL AND FLUID SCIENCE, 2007, 31 (04) :309-324
[6]   Large-scale circulation model for turbulent Rayleigh-Benard convection [J].
Brown, Eric ;
Ahlers, Guenter .
PHYSICAL REVIEW LETTERS, 2007, 98 (13)
[7]   Rotations and cessations of the large-scale circulation in turbulent Rayleigh-Benard convection [J].
Brown, Eric ;
Ahlers, Guenter .
JOURNAL OF FLUID MECHANICS, 2006, 568 :351-386
[8]   The origin of oscillations of the large-scale circulation of turbulent Rayleigh-Benard convection [J].
Brown, Eric ;
Ahlers, Guenter .
JOURNAL OF FLUID MECHANICS, 2009, 638 :383-400
[9]   Azimuthal asymmetries of the large-scale circulation in turbulent Rayleigh-Benard convection [J].
Brown, Eric ;
Ahlers, Guenter .
PHYSICS OF FLUIDS, 2008, 20 (10)
[10]   SCALING OF HARD THERMAL TURBULENCE IN RAYLEIGH-BENARD CONVECTION [J].
CASTAING, B ;
GUNARATNE, G ;
HESLOT, F ;
KADANOFF, L ;
LIBCHABER, A ;
THOMAE, S ;
WU, XZ ;
ZALESKI, S ;
ZANETTI, G .
JOURNAL OF FLUID MECHANICS, 1989, 204 :1-30