Abstract
The laminar, natural convective flow of a micropolar nanofluid in the presence of a magnetic field in a square porous enclosure was studied. The micropolar nanofluid is considered to be an electrically conductive fluid. The governing equations of the flow problem are the conservation of mass, energy, and linear momentum, as well as the angular momentum and the induction equations. In the proposed model, the Darcy–Brinkman momentum equations with buoyancy and advective inertia are used. Experimentally obtained forms of the dynamic viscosity, the thermal conductivity, and the electric conductivity are employed. A meshless point collocation method has been applied to numerically solve the flow and transport equations in their vorticity-stream function formulation. The effects of characteristic dimensionless parameters, such as the Rayleigh and Hartmann numbers, for a range of porosity and solid volume fraction of Al2O3 particles in a water-based micropolar nanofluid on the flow and heat transfer in the cavity are investigated. The results indicate that the intensity of the magnetic field significantly affects both the flow and the temperature distributions. Moreover, the addition of nanoparticles deteriorates the heat-transfer efficiency under specific conditions.
Highlights
Magnetohydrodynamics (MHD) focuses on electrically conducting fluids, which move under the influence of a magnetic field
The physical aim of this study is to investigate the effect of the magnetic field magnitude and the intensity of the flow field, as well as the volume fraction of the nanoparticles and the permeability of the medium, on the convective heat transfer of an Al2 O3 /water nanofluid
Results and Discussion derivatives that appear in the Neumann boundary conditions are estimated by using the Discretization Corrected Particle Strength Exchange (DC Particle Strength Exchange (PSE))
Summary
Magnetohydrodynamics (MHD) focuses on electrically conducting fluids, which move under the influence of a magnetic field. The induced electrical current interacts with the magnetic field to produce a body force acting on the fluid. The interaction between the flow field (fluid velocity) and the externally applied magnetic field gives rise to a magnetic (induced) field inside the fluid. The study of MHD flow applies to many industrial and engineering systems, such as nuclear reactors, heat exchangers [1], home ventilation systems, cooling of electronic equipment, solar energy collectors, nuclear reactors, chemical processing equipment, geothermal reservoirs, magnetic behavior of plasmas in fusion reactors, petroleum industries [2], boundary layer control in aerodynamics, crystal growth, and ship propulsion [3], to name a few [4,5].
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