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Eltayeb, I. A.; El-Seoud, S. A.

Hydromagnetic instability of a rotating fluid shell with non-uniform temperature gradient. (English) Zbl 0763.76029

Z. Angew. Math. Mech. 72, No. 1, 68-73 (1992).
The linear stability of a rotating fluid shell in the presence of a variable toroidal magnetic field is examined in the presence of a parabolic temperature profile. Previous studies of the same problem for weak magnetic fields are here extended to strong magnetic fields in which case Coriolis and Lorentz forces are comparable. It is suggested that the existence of the thermally and magnetically driven instabilities for the same temperature gradient can provide a mechanism for limiting the growth of the amplitude of the geomagnetic field.

MSC:

76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
80A20 Heat and mass transfer, heat flow (MSC2010)

Keywords:

linear stability; variable toroidal magnetic field; parabolic temperature profile; strong magnetic field; Coriolis and Lorentz forces
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References:

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