Thermal convection in a twisted horizontal magnetic field

Physics – Fluid Dynamics

Scientific paper

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Thermal Convection, Magnetoconvection, Twisted Magnetic Field

Scientific paper

The onset of convection in a layer of an electrically conducting fluid heated from below is considered in the case when the layer is permeated by a horizontal magnetic field of strength B0 the orientation of which varies sinusoidally with height. The critical value of the Rayleigh number for the onset of convection is derived as a function of the Chandrasekhar number Q. With increasing Q the height of the convection rolls decreases, while their horizontal wavelength slowly increases. Potential applications to the penumbral filaments of sunspots are briefly discussed.

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