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Journal of Porous Media
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ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i3.40
pages 217-226

ON ARRESTING THE COMPLEX GROWTH RATES IN FERROMAGNETIC CONVECTION IN A FERROFLUID SATURATED POROUS LAYER

Jyoti Prakash
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India

SINOPSIS

In the present paper it is shown that the complex growth rate σ = σr + iσi of an arbitrary oscillatory motion of growing amplitude, in ferromagnetic convection in a ferrofluid saturated porous layer, for the case of free boundaries, lies inside a semicircle in the right half of the σr σi − plane whose center is at the origin and (radius)2 = RM1/Pr, where R is Rayleigh number, M1 is magnetic numberand Pr is Prandtl number. Further, bounds for the case of rigid ferromagnetic boundaries are also derived separately.


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