Abstract We study the characteristics of temperature fluctuation in two-dimensional turbulent Rayleigh-Bénard convection in a square cavity by direct numerical simulations. The Rayleigh number range is , and the Prandtl number is selected as and . It is found that the temperature fluctuation profiles with respect to Ra exhibit two different distribution patterns. In the thermal boundary layer, the normalized fluctuation is independent of Ra and a power law relation is identified, , , where is a dimensionless distance to the boundary ( is the thickness of thermal boundary layer). Out of the boundary layer, when , the profiles of descend, then ascend, and finally drop dramatically as increases. While for , the profiles continuously decrease and finally overlap with each other. The two different characteristics of temperature fluctuations are closely related to the formation of stable large-scale circulations and corner rolls. Besides, there is a critical value of Ra indicating the transition, beyond which the fluctuation has a power law dependence on Ra, given by .
Received: 11 March 2021
Revised: 11 May 2021
Accepted manuscript online: 14 May 2021
PACS:
47.27.te
(Turbulent convective heat transfer)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11772362), the Shenzhen Fundamental Research Program (Grant No. JCYJ20190807160413162), and the Fundamental Research Funds for the Central Universities, Sun Yat-sen University, China (Grant No. 19lgzd15).
Corresponding Authors:
Yun Bao
E-mail: stsby@mail.sysu.edu.cn
Cite this article:
Ming-Wei Fang(方明卫), Jian-Chao He(何建超), Zhan-Chao Hu(胡战超), and Yun Bao(包芸) Characteristics of temperature fluctuation in two-dimensional turbulent Rayleigh-Bénard convection 2022 Chin. Phys. B 31 014701
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