2014/01/09 by Zhen-Su She, Xi Chen, She, Zhen-Su +9
Earth and Planetary Sciences · Engineering · Environmental Science · Physics and Astronomy · #Climate variability and models #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #I.6.4 #Meteorological Phenomena and Simulations #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1401.2138
5 pages, 3 figures
arxiv created 2014/01/09 · openalex publication_date 2014/01/09 · arxiv updated 2014/01/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.