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ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508
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ON ARRESTING THE COMPLEX GROWTH RATES IN FERROMAGNETIC CONVECTION IN A FERROFLUID SATURATED POROUS LAYER
Краткое описание
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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Prakash J., Bala R., On estimating the complex growth rates in ferromagnetic convection with magnetic-field-dependent viscosity in a rotating sparsely distributed porous medium, Journal of Applied Mechanics and Technical Physics, 57, 4, 2016. Crossref
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Prakash Jyoti, Kumar Pankaj, Kumari Kultaran, Manan Shweta, Ferromagnetic Convection in a Densely Packed Porous Medium with Magnetic-Field-Dependent Viscosity – Revisited, Zeitschrift für Naturforschung A, 73, 3, 2018. Crossref
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Ram Kaka, Prakash Jyoti, Kumari Kultaran, Kumar Pankaj, Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection, Studia Geotechnica et Mechanica, 44, 2, 2022. Crossref
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Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref