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ONSET OF PENETRATIVE CONVECTION IN A FERROFLUID-SATURATED POROUS LAYER

Volume 2, Edição 3, 2011, pp. 217-225
DOI: 10.1615/SpecialTopicsRevPorousMedia.v2.i3.50
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RESUMO

The criterion for the onset of penetrative convection in a horizontal layer of ferrofluid-saturated porous medium in the presence of an applied vertical magnetic field via the internal heating model is studied. The impermeable isothermal boundaries 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 delay the onset of penetrative ferroconvection the most when compared to the low-susceptibility ones, and the system is least stable if the boundaries are ferromagnetic. Increase in the value of magnetic Darcy-Rayleigh number Rm, heat source strength NS, and nonlinearity of magnetization parameter M3 is to hasten the onset of ferroconvection. Further, increase in the value of χ and NS as well as decrease in M3 is to contract the dimension of convection cells.

CITADO POR
  1. Shivakumara I.S., Dhananjaya M., Penetrative Brinkman convection in an anisotropic porous layer saturated by a nanofluid, Ain Shams Engineering Journal, 6, 2, 2015. Crossref

  2. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2013. Crossref

  3. Prakash Jyoti, Kumar Rajeev, Kumari Kultaran, Thermal Convection in a Ferromagnetic Fluid Layer with Magnetic Field Dependent Viscosity: A Correction Applied, Studia Geotechnica et Mechanica, 39, 3, 2017. Crossref

  4. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref

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