Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session E34: Free and Rayleigh-Benard Convection I
5:10 PM–6:28 PM,
Sunday, November 18, 2018
Georgia World Congress Center
Room: B406
Chair: Joseph Niemela, International Center for Theoretical Physics
Abstract ID: BAPS.2018.DFD.E34.3
Abstract: E34.00003 : Universal properties in penetrative turbulent Rayleigh-B\'enard convection*
5:36 PM–5:49 PM
Presenter:
Zhen-Hua Wan
(Univ of Sci & Tech of China)
Authors:
Zhen-Hua Wan
(Univ of Sci & Tech of China)
Qi Wang
(Univ of Sci & Tech of China)
De-Jun Sun
(Univ of Sci & Tech of China)
Penetrative convection refers to the phenomenon whenever convection in thermally unstable fluid layers penetrate into adjacent stable layers. In this work, we study penetrative turbulent Rayleigh-B\'enard convection which depends on the density maximum of water near 4°C using two-dimensional and three-dimensional direct numerical simulations. The working fluid is water near 4°C with reference Prandtl number Pr=11.57. The considered Rayleigh numbers Ra range from 107 to 1010. The density inversion parameter Tm varies from 0 to 0.9. It is found that the ratio of the top and bottom thermal boundary-layer thickness (Fλ=λtΘ/λbΘ) increases with increasing Tm, and the relationship between Fλ and Tm seems to be independent of Ra. The center temperature Tc is enhanced compared to that of the Oberbeck-Boussinesq (OB) cases, and Tc is also found to have a universal relationship with Tm which is independent of Ra. Tc is related to Fλ with 1/Tc=1/Fλ+1. Moreover, the normalized Nu(Tm)/Nu(0) and Re(Tm)/Re(0) also have universal relationships with Tm which seem to be independent of both Ra and the aspect ratio Γ. The scaling exponents of Nu~Raα and Re~Raβ are found to be insensitive to Tm.
*This work is supported by NSFC (11572314,11772323 and 11621202).
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.E34.3
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