Zhan, M. and Rosensweig, R.E. (1980) Stability of Magnetic Fluid Penetration through a Porous Medium with Uniform Magnetic Field Oblique to the Interface. IEEE Transactions on Magnetics, 16, 275-282.
https://doi.org/10.1109/TMAG.1980.1060586

has been cited by the following article:

• TITLE: Effect of Exponentially Temperature-Dependent Viscosity on the Onset of Penetrative Ferro-Thermal-Convection in a Saturated Porous Layer via Internal Heating

  AUTHORS: R. Nataraj, S. Bhavya

  KEYWORDS: Ferroconvection, Internal Heating, Variable Viscosity, Porous Media, Galerkin Technique, Insulated Boundary

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.11 No.7, July 31, 2019

  ABSTRACT: The effect of viscosity depending exponentially on temperature on the onset of penetrative ferro-thermal-convection (FTC) in a saturated horizontal porous layer in the presence of vertical magnetic field is investigated. The bounding surface of the ferrofluid layer is considered to be rigid-rigid and insulated to temperature perturbations. The resulting eigenvalue problem is solved numerically using the Galerkin technique and also analytically by a regular perturbation technique with wave number as a perturbation parameter. The analytical and numerical results are found to be concurrence. The characteristics of stability of the system are strongly dependent on the viscosity parameter B. The effect of B on the onset of ferroconvection in a porous layer is dual in nature depending on the choices of physical parameters and a sublayer starts to form at higher values of B. Whereas, increase in magnetic number M1 and the Darcy number Da is to advance the onset of ferroconvection in a porous layer. The nonlinearity of fluid magnetization M3is found to have no influence on the onset of ferroconvection.