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 journalArticle

32 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

Fingerprint

Mixed convection
Magnetic fluids
ferrofluids
convection
Magnetic fields
cavities
Hartmann number
Magnetohydrodynamics
Nusselt number
Buoyancy
magnetic fields
Finite difference method
Partial differential equations
Porous materials
Volume fraction
Nanoparticles
Heat transfer
Boussinesq approximation
buoyancy
partial differential equations

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

Cite this

Effect of uniform inclined magnetic field on mixed convection in a lid-driven cavity having a horizontal porous layer saturated with a ferrofluid. / Gibanov, Nikita S.; Sheremet, Mikhail A.; Oztop, Hakan F.; Abu-Hamdeh, Nidal.

In: International Journal of Heat and Mass Transfer, Vol. 114, 01.11.2017, p. 1086-1097.

Research output: Contribution to journalArticle

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AU - Abu-Hamdeh, Nidal

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AB - 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.

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