Sunil and A. Mahjan, “A Nonlinear Stability Analysis for Magnetized Ferrofluid Heated from Below,” Proceeding of Royal Society of London. A Mathematical, Physical and Engineering Sciences, Vol. 464, No. 2089, 2008, pp. 83-98. doi:10.1098/rspa.2007.1906

has been cited by the following article:

• TITLE: The Onset of Ferromagnetic Convection in a Micropolar Ferromagnetic Fluid Layer Heated from Below

  AUTHORS: C. E. Nanjundappa, I. S. Shivakumara, K. Srikumar

  KEYWORDS: Micropolar Ferrofluid; Ferromagnetic Convection; Paramagnetic Boundaries; Rigid Boundaries; Magnetic Susceptibility

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.5 No.3, March 28, 2013

  ABSTRACT: The onset of ferromagnetic convection in a micropolar ferromagnetic fluid layer heated from below in the presence of a uniform applied vertical magnetic field has been investigated. The rigid-isothermal boundaries of the fluid layer are considered to be either paramagnetic or ferromagnetic and the eigenvalue problem is solved numerically using the Galerkin method. It is noted that the paramagnetic boundaries with large magnetic susceptibility χ delays the onset of ferromagnetic convection the most when compared to very low magnetic susceptibility as well as ferromagnetic boundaries. Increase in the value of magnetic parameter M1 and spin diffusion (couple stress) parameter N3 is to hasten, while increase in the value of coupling parameter N1 and micropolar heat conduction parameter N5 is to delay the onset of ferromagnetic convection. Further, increase in the value of M1, N1, N5 and χ as well as decrease in N3 is to diminish the size of convection cells.