Scaling laws prediction from a solvable model of turbulent thermal convection
NCAR - P.O. Box 3000, Boulder CO 80307-3000, USA
and CNRS, URA 285, Observatoire
Midi-Pyrénées 14 avenue Belin, F-31400 Toulouse, France
Accepted: 30 June 2000
A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, viscous and integral scales of turbulence, and thus, on both the Prandtl number and the Reynolds numbers. Depending on their values, a wide variety of possible regimes is found, including the classical 2/7 and 1/3 law, and a new 4/13=0.308 law for the Nusselt power law variation with the Rayleigh number.
PACS: 47.27.-i – Turbulent flows, convection, and heat transfer / 47.27.Eq – Turbulence simulation and modeling / 47.27.Te – Convection and heat transfer
© EDP Sciences, 2000