%0 Journal Article
%A Prakash, Jyoti
%D 2013
%I Begell House
%K ferrofluid, complex growth rate, principle of exchange of stabilities, oscillatory motion, Pellew and Southwell technique
%N 3
%P 217-226
%R 10.1615/JPorMedia.v16.i3.40
%T ON ARRESTING THE COMPLEX GROWTH RATES IN FERROMAGNETIC CONVECTION IN A FERROFLUID SATURATED POROUS LAYER
%U https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,0702e6b11476cffd,509d98f61aa78f3d.html
%V 16
%X 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.
%8 2013-03-27