Temperature Statistics in Turbulent Rayleigh-Bénard Convection

Details Temperature Statistics in Turbulent Rayleigh-Bénard Convection Temperature Statistics in Turbulent Rayleigh-Bénard Convection

2011-03-03

arxiv.org/abs/1103.0690v1

2011 New J. Phys. 13 015002

Physics

Fluid Dynamics

This is an author-created, un-copyedited version of an article accepted for publication in New J. Phys. IOP Publishing Ltd is

Scientific paper

10.1088/1367-2630/13/1/015002

Rayleigh-B\'enard convection in the turbulent regime is studied using statistical methods. Exact evolution equations for the probability density function of temperature and velocity are derived from first principles within the framework of the Lundgren-Monin-Novikov hierarchy known from homogeneous isotropic turbulence. The unclosed terms arising in the form of conditional averages are estimated from direct numerical simulations. Focusing on the statistics of temperature, the theoretical framework allows to interpret the statistical results in an illustrative manner, giving deeper insight into the connection between dynamics and statistics of Rayleigh-B\'enard convection. The results are discussed in terms of typical flow features and the relation to the heat transfer.

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