On scaling laws in turbulent magnetohydrodynamic Rayleigh-Benard convection

Details On scaling laws in turbulent magnetohydrodynamic Rayleigh-Benard convection On scaling laws in turbulent magnetohydrodynamic Rayleigh-Benard convection

2008-01-02

arxiv.org/abs/0801.0347v2

Physica D 237, 3233 (2008)

Physics

Fluid Dynamics

This is typos-corrected version of the earlier version. It has some minor changes. This brief work is not, in any sense, compl

Scientific paper

10.1016/j.physd.2008.08.001

We invoke the concepts of magnetic boundary layer and magnetic Rayleigh number and use the magnetic energy dissipation rates in the bulk and the boundary layers to derive some scaling laws expressing how Nusselt number depends on magnetic Rayleigh number, Prandtl number and magnetic Prandtl number for the simple case of turbulent magnetohydrodynamic Rayleigh-Benard convection in the presence of uniform vertical magnetic field.

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