Affiliations: [a] Department of Mechanical Engineering, Amirkabir
University of Technology, Tehran, Iran | [b] Department of Mechanical Engineering, Najafabad
Branch, Islamic Azad University, Isfahan, Iran
Correspondence:
[*]
Corresponding author: Arash Karimipour, Department of Mechanical
Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran. E-mail:
Arashkarimipour@gmail.com
Abstract: Magnetohydrodynamic natural convection fluid flow and heat transfer
in a square enclosure with a pair of source and sink on its walls, filled with
liquid Gallium fluid with Prandtl number of 0.02 has been investigated
numerically. The heat source and heat sink are maintained at a constant
temperature T_{h} and T_{c}, respectively
with T_{h} > T_{c}. By variation of relative location of the
heat source and sink on the walls of the enclosure, five different cases are
generated. The governing equations written in terms of the primitive variables
are solved numerically using the finite volume method and the SIMPLER
algorithm. Using the developed code, a parametric study is performed, and the
effects of the Rayleigh number, the Hartman number, and the locations of the
source and sink on the fluid flow and heat transfer inside the enclosure are
investigated. The results show that the flow and temperature distributions
inside the enclosure are affected by the strength of the magnetic field, the
Rayleigh number, and the relative location of the heat source and sink. The
magnetic field decreases the rate of heat transfer, suppresses the convection
heat transfer, and tends to slows down the flow velocity in the cavity.
Moreover in some cases the magnetic field changes the flow pattern inside the
enclosure.
