Modeling of nanomaterial treatment through a porous space including magnetic forces

In present article, influence of magnetic forces on migration of nanomaterial through a permeable zone via an innovative method is investigated. The porous cavity packed with CuO-water nanofluid, a magneto-hydrodynamic effect is imposed, and the numerical simulation method is CVFEM. The investigations include various radiation terms, Hartmann and Rayleigh numbers and the nanomaterial shape factor and their corresponding effects on thermal properties of nanomaterial. The results reveal that Nusselt number is in direct relation with radiation term, convective mechanism becomes stronger with improve of shape effect, and temperature gradient goes up as the Hartmann number drops or Rayleigh number augments. Finally, established on derived outputs, a precise formula for Nu(ave) as a function of the aforementioned parameters is developed.