201. Prediction of temperature distribution in turbulent Rayleigh-Benard convection
- Author
-
She, Zhen-Su, Chen, Xi, Zou, Hong-Yue, Bao, Yun, Chen, Jun, and Hussain, Fazle
- Subjects
Physics - Fluid Dynamics ,I.6.4 - Abstract
A quantitative theory is developed for the vertical mean temperature profile (MTP) in turbulent Rayleigh-Benard convection (RBC), which explains the recent experimental and numerical observations of a logarithmic law by Ahlers et al.(Phys. Rev. Lett., 2012). A multi-layer model is formulated and quantified, whose predictions agree with DNS and experimental data for the Rayleigh-number (Ra) over seven decades. In particular, a thermal buffer layer follows a 1/7 scaling like the previously postulated mixing zone (Procaccia et al, Phys. Rev. A,1991), and yields a Ra-dependent log law constant. A new parameterization of Nu(Ra) dependence is proposed, based on the present multi-layer quantification of the bulk MTP., Comment: 5 pages, 3 figures
- Published
- 2014