Convective heat transfer enhancement in a quarter-circular enclosure utilizing nanofluids under the influence of periodic magnetic field

Abstract

A coupled one-component mathematical model is applied to analyze the transient natural convective hydro-thermal incidents of different nanofluids occupied with a quarter circular vicinity. A sinusoidal magnetic arena is preferred in the transverse direction to examine the magnetization phenomena. The circular arc of the geometry domain is cold and the lowest wall is heated whereas the vertical wall of the arena is kept thermally insulated. During numerical computation, herein considered Water (H2O), Kerosene (Ke), Engine Oil (EO) as base fluids and Copper (Cu), Cobalt (Co), and Iron Oxide (Fe3O4) as nanoparticles. The dimensionless transports equations are solved numerically by applying the Galerkin weighted residual based finite element method. The outcomes spectacle that heat transfer rate augmented significantly with the increasing values of the Rayleigh number (Ra), nanoparticles volume fraction (ϕ), and period of the magnetic field (λ), whereas an intensification in the Hartmann number (Ha) lessens the total heat transfer rate. For nine sorts of nanofluids, the average heat transfer rate is computed along the bottom wall, and found that the heat transfer rate of Co-Kerosene nanofluid is considerably greater than other eight sorts of nanofluids. Finally, it is observed that the Cu-Kerosene nanofluid provides the high heat transfer rate whereas Cu-EO has the low rate of heat transfer for distinct thermal boundary conditions. The numerical results could be useful in assessing heat transfer features of solar collectors, and electronic devices.

Keywords

• Nanofluids
• Natural convection
• Heat transfer
• Periodic magnetic field
• Finite element method (FEM)