%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