2000/12/31 by Robert M. Kerr
Engineering · Environmental Science · Physics and Astronomy · #Combustion and flame dynamics #Convection #Energy (signal processing) #Energy budget #Environmental science #Fluid Dynamics and Turbulent Flows #Materials science #Mechanics #Meteorology #Natural convection #Optics #Physics #Plant Water Relations and Carbon Dynamics #Quantum mechanics #Rayleigh number #Rayleigh scattering #Rayleigh–Bénard convection #Thermodynamics #nlin.CD
paper · pdf · doi:10.1103/physrevlett.87.244502
5 pages, 3 figures, new version 13 Mar, 2001
arxiv created 2001/05/18 · openalex publication_date 2001/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown using three series of Rayleigh number simulations of varying aspect ratio AR and Prandtl number Pr that the normalized dissipation at the wall, while significantly greater than 1, approaches a constant dependent upon AR and Pr. It is also found that the peak velocity, not the mean square velocity, obeys the experimental scaling of Ra(0.5). The scaling of the mean square velocity is closer to Ra(0.46), which is shown to be consistent with experimental measurements and the numerical results for the scaling of Nu and the temperature if there are strong correlations between the velocity and temperature.