Field correlations and the ultimate regime of turbulent convection

Details Field correlations and the ultimate regime of turbulent convection Field correlations and the ultimate regime of turbulent convection

2011-03-19

arxiv.org/abs/1103.3789v2

Physical Review E 85, 016310 (2012)

Physics

Fluid Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.85.016310

Using direct numerical simulations of Rayleigh-B\'{e}nard convection (RBC) under free-slip boundary condition, we show that the normalized correlation function between the vertical velocity field and the temperature field, as well as the normalized viscous dissipation rate, scales as $Ra^{-0.22}$ for moderately large Rayleigh number $Ra$. This scaling accounts for the Nusselt number ($Nu$) exponent to be around 0.3 observed in experiments. Numerical simulations also reveal that the above normalized correlation functions are constants for the convection simulation under periodic boundary conditions.

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