Complexity of viscous dissipation in turbulent thermal convection

被引:18
作者
Bhattacharya, Shashwat [1 ]
Pandey, Ambrish [2 ]
Kumar, Abhishek [3 ]
Verma, Mahendra K. [4 ]
机构
[1] Indian Inst Technol, Dept Mech Engn, Kanpur 208016, Uttar Pradesh, India
[2] Tech Univ Ilmenau, Inst Thermo & Fluiddynam, D-98684 Ilmenau, Germany
[3] Coventry Univ, Appl Math Res Ctr, Coventry CV1 5FB, W Midlands, England
[4] Indian Inst Technol, Dept Phys, Kanpur 208016, Uttar Pradesh, India
基金
俄罗斯科学基金会;
关键词
RAYLEIGH-BENARD CONVECTION; ASPECT RATIO ONE; HEAT-TRANSPORT; BOUNDARY-LAYER;
D O I
10.1063/1.5022316
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Using direct numerical simulations of turbulent thermal convection for the Rayleigh number between 10(6) and 10(8) and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary layers. We show that contrary to the general belief, the total viscous dissipation in the bulk is larger, albeit marginally, than that in the boundary layers. The bulk dissipation rate is similar to that in hydrodynamic turbulence with log- normal distribution, but it differs from (U-3/d) by a factor of Ra-0.18. Viscous dissipation in the boundary layers is rarer but more intense with a stretched-exponential distribution. Published by AIP Publishing.
引用
收藏
页数:5
相关论文
共 36 条
[1]   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
[2]   Anomalous Reynolds-number scaling in turbulent Rayleigh-Benard convection [J].
Brown, Eric ;
Funfschilling, Denis ;
Ahlers, Guenter .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
[3]   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
[4]   Fine-scale statistics of temperature and its derivatives in convective turbulence [J].
Emran, M. S. ;
Schumacher, J. .
JOURNAL OF FLUID MECHANICS, 2008, 611 (13-34) :13-34
[5]   Heat transport by turbulent Rayleigh-Benard convection in cylindrical samples with aspect ratio one and larger [J].
Funfschilling, D ;
Brown, E ;
Nikolaenko, A ;
Ahlers, G .
JOURNAL OF FLUID MECHANICS, 2005, 536 :145-154
[6]   Scaling in thermal convection: a unifying theory [J].
Grossmann, S ;
Lohse, D .
JOURNAL OF FLUID MECHANICS, 2000, 407 :27-56
[7]   Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection [J].
Grossmann, S ;
Lohse, D .
PHYSICAL REVIEW E, 2002, 66 (01) :1-016305
[8]   Thermal convection for large Prandtl numbers [J].
Grossmann, S ;
Lohse, D .
PHYSICAL REVIEW LETTERS, 2001, 86 (15) :3316-3319
[10]  
Jasak H., 2007, INT WORKSHOP COUPLED, V1000, P1