Magnetic nanofluid behavior including an immersed rotating conductive cylinder: finite element analysis

Abstract

In this paper, numerical Galerkin Finite Element Method (GFEM) is applied for conjugate heat-transfer of a rotating cylinder immersed in Fe3O4-water nanofluid under the heat-flux and magnetic field. The outer boundaries of the cavity were maintained at low temperatures while beside the cylinder were insulated. It is assumed that the cylinder rotates in both clockwise and counter-clockwise directions. The dimensionless governing equations such as velocity, pressure, and temperature formulation were analyzed by the GFEM. The results were evaluated using the governing parameters such as nanoparticles (NPs) volume fraction, Hartmann and Rayleigh numbers, magnetic field angle and NPs shapes. As a main result, the average Nusselt number increases by increasing the NPs volume fraction, inclination angle and thermal conductivity ratios, while increasing the Hartmann number decreased the Nusselt number. Furthermore, platelet NPs had the maximum average Nusselt number and spherical NPs made the minimum values of Nusselt numbers among examined NPs shapes.

MHD mixed convection and entropy generation of CNT-water nanofluid in a wavy lid-driven porous enclosure at different boundary conditions

“…Hamida and Hatami 3 used the electrical field in their square light emitting diode modeling to improve the cooling process from microchannel filled by nanofluid. Ghasemi et al 4 and Hamzah et al 5 used the magnetic field to improve the heat transfer in the solar radiation application and immersed rotating cylinder, respectively. Behzadnia et al 6 , 7 modeled the super-critical nanofluid flow for improving the cooling process in reactors and Hatami 8 , and Hatami and Safari 9 improved the nanofluid heat transfer from cavities by using heated fins and cylinders, respectively.…”

Space-fractional heat transfer analysis of hybrid nanofluid along a permeable plate considering inclined magnetic field

“…Also denotes current density vector where can be given as: in which is the inclination angle of the magnetic field, represents the electrical conductivity, signifies the velocity vector and refer to the velocity components along the axes , respectively. Thus, the Lorentz force can be expressed in the form 45 , 46 : …”

Thermal analysis of nanofluid saturated in a semicircular hot enclosure cooled by a rotating half‐immersed active circular cylinder subject to a convective condition

“…Then, a penalty formulation is used to eliminate the pressure term p in the momentum equations. The penalty parameter () 32,38 is integrated into Equation (35).…”

“…Hamzah et al 32 used the numerical Galerkin finite element method (GFEM) for the conjugate heat transfer of a rotating cylinder immersed in nanofluid (Fe 3 O 4 -water) under the heat flux and magnetic field conditions. The average Nusselt number increased with the rise in thermal conductivity ratios.…”