Nonlinear convection in the presence of a vertical magnetic field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Convection, Magnetic Fields, Magnetohydrodynamic Stability, Convective Heat Transfer, Fourier Series, Mathematical Models, Nusselt Number

Scientific paper

The present investigation provides a comparison between the results based on analytical approximation method and numerical methods to the problem of nonlinear convection, in the presence of a vertical magnetic field. There is a fair agreement between the two methods and the analytical approximation method yields R1/3 law for the Nusselt number. The results of the analytical method show that for a given value of Q heat convection attains a constant value at large values of α and finally becomes independent of α.

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