Realizing the ultimate scaling in convection turbulence by spatially decoupling the thermal and viscous boundary layers

被引:6
作者
Zou, Shufan [1 ]
Yang, Yantao [1 ,2 ]
机构
[1] Peking Univ, State Key Lab Turbulence & Complex Syst, Dept Mech & Engn Sci, Coll Engn, Beijing 100871, Peoples R China
[2] Peking Univ, Beijing Innovat Ctr Engn Sci & Adv Technol, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
Benard convection; turbulent convection; RAYLEIGH; PRANDTL; ROUGHNESS; REGIME; NUMBER; DRIVEN;
D O I
10.1017/jfm.2021.393
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Turbulent convection plays a crucial role in many natural environments and engineering applications. One of the most fundamental questions is how the heat flux depends on the thermal driving and fluid property. It has been proposed that when the fluid layer experiences extremely strong thermal driving, the boundary layers will become fully turbulent and the so-called ultimate regime will emerge. In this work we proposed a numerical experiment in which the thermal boundary layer can be spatially decoupled with the viscous one. We demonstrate that, once the thermal boundary layer is fully decoupled from the viscous boundary layer and locates entirely inside the turbulent bulk, the scaling laws corresponding to the ultimate regime can be obtained, namely and with being the Nusselt number, the Reynolds number, the Rayleigh number and the Prandtl number, respectively. Therefore, our results support the physical conjecture of the ultimate regime for the turbulent convection.
引用
收藏
页数:13
相关论文
共 40 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]   Transition to the ultimate regime in a radiatively driven convection experiment [J].
Bouillaut, Vincent ;
Lepot, Simon ;
Aumaitre, Sebastien ;
Gallet, Basile .
JOURNAL OF FLUID MECHANICS, 2019, 861
[3]   Rayleigh and Prandtl number scaling in the bulk of Rayleigh-Benard turbulence [J].
Calzavarini, E ;
Lohse, D ;
Toschi, F ;
Tripiccione, R .
PHYSICS OF FLUIDS, 2005, 17 (05) :1-7
[4]   Exponentially growing solutions in homogeneous Rayleigh-Benard convection [J].
Calzavarini, E ;
Doering, CR ;
Gibbon, JD ;
Lohse, D ;
Tanabe, A ;
Toschi, F .
PHYSICAL REVIEW E, 2006, 73 (03)
[5]   Observation of the ultimate regime in Rayleigh-Benard convection [J].
Chavanne, X ;
Chilla, F ;
Castaing, B ;
Hebral, B ;
Chabaud, B ;
Chaussy, J .
PHYSICAL REVIEW LETTERS, 1997, 79 (19) :3648-3651
[6]  
Childs H., 2012, HIGH PERFORMANCE VIS, P357
[7]   New perspectives in turbulent Rayleigh-Benard convection [J].
Chilla, F. ;
Schumacher, J. .
EUROPEAN PHYSICAL JOURNAL E, 2012, 35 (07)
[8]   Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations [J].
Fadlun, EA ;
Verzicco, R ;
Orlandi, P ;
Mohd-Yusof, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 161 (01) :35-60
[9]   Assessing and conserving groundwater biodiversity: synthesis and perspectives [J].
Gibert, Janine ;
Culver, David C. ;
Dole-Olivier, Marie-Jose ;
Malard, Florian ;
Christman, Mary C. ;
Deharveng, Louis .
FRESHWATER BIOLOGY, 2009, 54 (04) :930-941
[10]   High-Rayleigh-number convection in a vertical channel [J].
Gibert, M ;
Pabiou, H ;
Chillà, F ;
Castaing, B .
PHYSICAL REVIEW LETTERS, 2006, 96 (08)