Effect of uniform inclined magnetic field on mixed convection in a lid-driven cavity having a horizontal porous layer saturated with a ferrofluid. (November 2017)

• Record Type: Journal Article
• Authors: Gibanov, Nikita S.; Sheremet, Mikhail A.; Oztop, Hakan F.; Abu-Hamdeh, Nidal
• Is Part Of: International journal of heat and mass transfer. Volume 114(2017)
• Page Start: 1086
• Page End: 1097
• Publication Date: 2017-11
• Subjects: Uniform inclined magnetic field -- Mixed convection -- Horizonal porous layer -- Lid-driven cavity -- Ferrofluid -- Numerical results; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2017.07.001
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: MHD mixed convection in a lid-driven cavity partially filled with a porous medium saturated with ferrofluid studied. Governing equations are formulated on the basis of a single-phase for nanofluid, Brinkman-extended Darcy model. Average Nusselt number is a non-monotonic function of Darcy number. Porous layer height, while a growth of Hartmann number illustrates the heat transfer rate reduction. 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.