RT Journal Article ID 509d98f61aa78f3d A1 Prakash, Jyoti T1 ON ARRESTING THE COMPLEX GROWTH RATES IN FERROMAGNETIC CONVECTION IN A FERROFLUID SATURATED POROUS LAYER JF Journal of Porous Media JO JPM YR 2013 FD 2013-03-27 VO 16 IS 3 SP 217 OP 226 K1 ferrofluid K1 complex growth rate K1 principle of exchange of stabilities K1 oscillatory motion K1 Pellew and Southwell technique AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,0702e6b11476cffd,509d98f61aa78f3d.html