Abstract

AbstractIn this paper, the convective flow of magnetite (Fe3O4)‐water nanofluid through a wavy channel containing porous blocks in the presence of a non‐uniform oscillating magnetic field with magnetohydrodynamic (MHD) and ferrohydrodynamic (FHD) effects is considered. This magnetic field is produced by two current‐carrying wires, which are placed at fixed positions on the outside of the channel. In the present study, we use a two‐phase model that considers the effects of thermophoresis and Brownian motion on the concentration of nanoparticles within the fluid. The associated system of partial differential equations is solved using the mixed finite element method with Taylor‐Hood elements and the effects of time t, Strouhal number , Hartmann number , magnetic number , solid volume fraction ϕ0, nanoparticle diameter on the fluid flow, heat transfer, concentration distribution and pressure drop within the channel are investigated.

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