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On arresting the complex growth rates in ferromagnetic convection in a rotating porous medium

Abstract

It is proved analytically that the complex growth rate ( are respectively the real and imaginary parts of ) of an arbitrary oscillatory motion of growing amplitude in ferromagnetic convection in a rotating porous medium for the case of free boundaries, must lie inside a semicircle in the right half of the - plane whose centre is origin and 􁈺 􁈻 = greater of { }, where R is the Rayleigh number, is the magnetic number, is the Prandtl number and is the Taylor number. Further, bounds for the case of rigid boundaries are also derived separately.

Jyoti Prakash and Renu Bala

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