Research article

Numerical investigation of ferrofluid convection with Kelvin forces and non-Darcy effects

  • Received: 23 February 2018 Accepted: 20 March 2018 Published: 26 March 2018
  • MSC : 65M22, 65M70, 76M22, 76R10, 76S05, 82D80

  • In this study, natural convection in a porous, ferrofluid-filled cavity is numerically investigated utilizing the multiquadric (MQ) radial basis function (RBF) based pseudo spectral (PS) method. The influence of Kelvin forces, Brinkman and Forchheimer terms and a magnetic source is also taken into account. Results reveal that convective heat transfer is inhibited with the rise of Hartmann number, and with the decrease in Darcy number while it is enhanced with the increase in porosity of the porous medium, solid volume fraction and Rayleigh number. At a small Rayleigh number, the average Nusselt number enhances with the augmentation of magnetic number.

    Citation: Bengisen Pekmen Geridönmez. Numerical investigation of ferrofluid convection with Kelvin forces and non-Darcy effects[J]. AIMS Mathematics, 2018, 3(1): 195-210. doi: 10.3934/Math.2018.1.195

    Related Papers:

  • In this study, natural convection in a porous, ferrofluid-filled cavity is numerically investigated utilizing the multiquadric (MQ) radial basis function (RBF) based pseudo spectral (PS) method. The influence of Kelvin forces, Brinkman and Forchheimer terms and a magnetic source is also taken into account. Results reveal that convective heat transfer is inhibited with the rise of Hartmann number, and with the decrease in Darcy number while it is enhanced with the increase in porosity of the porous medium, solid volume fraction and Rayleigh number. At a small Rayleigh number, the average Nusselt number enhances with the augmentation of magnetic number.


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