Abstract
The main purpose of this article is to examine the flow and heat transfer of a squeezing unsteady nanofluid (Fe3O4–water) between two parallel plates in the case where the thermal conductivity is a function of temperature and under a presence of the inclined magnetic field. The effects of the variable thermal conductivity and inclined magnetic field are conceived in ordinary nonlinear differential equations, which characterize the velocity and temperature distributions of the problem considered, this solved numerically via Runge–Kutta–Fehlberg based shooting method and analytically by analytical technique namely DTM method. On the other hand, as well as the influence of varying physical parameters such as: the volume fraction of the nanoparticles of the type magnetite (Fe3O4), Hartmann number, squeeze number, the angle of inclination of the applied magnetic field and conductivity parameter, the results obtained to highlight the effectiveness of the analytical technique adopted. The results found that Fe3O4 nanoparticles in (H2O) as base fluid enhances considerably the heat transfer features. The existence of variable thermal conductivity and an inclined magnetic field realize a decrease in heat transfer.
•DTM is used to stimulate a squeezing unsteady nanofluid between two plates.•Variable thermal conductivity and magnetic field on Fe3O4–water are considered.•DTM and RKF45 are compared.•Fe3O4 NPs in (H2O) enhances significantly the heat transfer characteristics.•Inclined magnetic field and the variable thermal conductivity decrease heat transfer.