Effect of uniform inclined magnetic field on mixed convection in a lid-driven cavity having a horizontal porous layer saturated with a ferrofluid

Nikita S. Gibanov, Mikhail A. Sheremet, Hakan F. Oztop, Nidal Abu-Hamdeh

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)

Abstract

MHD mixed convection in a lid-driven cavity with partially filled with a porous medium saturated with a ferrofluid has been analyzed numerically. The domain of interest consists of a bottom porous layer and a nanofluid layer over the porous one with a heated motionless bottom wall and cooled upper moved wall. The governing partial differential equations formulated on the basis of a single-phase model for nanofluid, Brinkman-extended Darcy model for porous layer and Boussinesq approximation for buoyancy force have been solved by finite difference method of the second-order accuracy. Analysis has been carried out for a wide range of Hartmann number, magnetic field inclination angle, Darcy number, porous layer height, and nanoparticles volume fraction. It has been revealed that average Nusselt number is a non-monotonic function of Darcy number and porous layer height, while a growth of Hartmann number illustrates the heat transfer rate reduction.

Original languageEnglish
Pages (from-to)1086-1097
Number of pages12
JournalInternational Journal of Heat and Mass Transfer
Volume114
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • Ferrofluid
  • Horizonal porous layer
  • Lid-driven cavity
  • Mixed convection
  • Numerical results
  • Uniform inclined magnetic field

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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