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Numerical Study of the Magnetic Field Effect on Ferromagnetic Fluid Flow and Heat Transfer in a Square Porous Cavity

Author

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  • Mohamed F. El-Amin

    (College of Engineering, Effat University, 21478 Jeddah, Saudi Arabia
    Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypt)

  • Usama Khaled

    (Department of Electrical Engineering, College of Engineering, King Saud University, P.O. Box. 800, 11421 Riyadh, Saudi Arabia
    Department of Electrical Engineering, Faculty of Energy Engineering, Aswan University, Aswan 81528, Egypt)

  • Abderrahmane Beroual

    (Ecole Centrale de Lyon, University of Lyon, AMPERE CNRS UMR 5005, 36 Avenue Guy de Collongue, 69134 Ecully, France)

Abstract

A numerical study of ferromagnetic-fluid flow and heat transfer in a square porous cavity under the effect of a magnetic field is presented. The water-magnetic particle suspension is treated as a miscible mixture and, thus, the magnetization, density and viscosity of the ferrofluid are obtained. The governing partial-differential equations were solved numerically using the cell-centered finite-difference method for the spatial discretization, while the multiscale time-splitting implicit method was developed to treat the temporal discretization. The Courant–Friedrichs–Lewy stability condition (CFL < 1) was used to make the scheme adaptive by dividing time steps as needed. Two cases corresponding to Dirichlet and Neumann boundary conditions were considered. The efficiency of the developed algorithm as well as some physical results such as temperature, concentration, and pressure; and the local Nusselt and Sherwood numbers at the cavity walls are presented and discussed. It was noticed that the particle concentration and local heat/mass transfer rate are related to the magnetic field strength, and both pressure and velocity increase as the strength of the magnetic was increased.

Suggested Citation

  • Mohamed F. El-Amin & Usama Khaled & Abderrahmane Beroual, 2018. "Numerical Study of the Magnetic Field Effect on Ferromagnetic Fluid Flow and Heat Transfer in a Square Porous Cavity," Energies, MDPI, vol. 11(11), pages 1-21, November.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:11:p:3235-:d:184533
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    References listed on IDEAS

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    1. Sheremet, M.A. & Pop, I., 2015. "Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno's mathematical model," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 792-808.
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    Cited by:

    1. Artur J. Jaworski, 2019. "Special Issue “Fluid Flow and Heat Transfer”," Energies, MDPI, vol. 12(16), pages 1-4, August.

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