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

Geridönmez B.

AIMS MATHEMATICS, vol.3, no.1, pp.195-210, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 3 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.3934/math.2018.1.195
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.195-210
  • Keywords: ferrofluid, porous media, natural convection, radial basis functions, multiquadrics, magnetic source, HEAT-TRANSFER, UTILIZING NANOFLUIDS, ENTROPY GENERATION, NATURAL-CONVECTION, POROUS ENCLOSURE
  • TED University Affiliated: Yes


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.