On scaling laws in turbulent magnetohydrodynamic Rayleigh-Benard convection
Sagar Chakraborty
TL;DR
This paper derives scaling laws for turbulent magnetohydrodynamic Rayleigh-Benard convection, relating heat transfer to magnetic and fluid parameters using boundary layer and energy dissipation concepts.
Contribution
It introduces new scaling laws connecting Nusselt number with magnetic Rayleigh, Prandtl, and magnetic Prandtl numbers in MHD convection.
Findings
Derived explicit scaling laws for Nusselt number.
Linked magnetic energy dissipation to heat transfer.
Provided theoretical framework for MHD convection analysis.
Abstract
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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