Heat transfer of squeezing unsteady nanofluid flow under the effects of an inclined magnetic field and variable thermal conductivity. (English) Zbl 07457981
Summary: The main purpose of this article is to examine the flow and heat transfer of a squeezing unsteady nanofluid (\(\mathrm{Fe_3O_4}\)-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 (\(\mathrm{Fe_3O_4}\)), 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 \(\mathrm{Fe_3O_4}\) nanoparticles in (\(\mathrm{H_2O}\)) 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.
MSC:
| 82-XX | Statistical mechanics, structure of matter |
Keywords:
\(\mathrm{Fe_3O_4}\)-water; variable thermal conductivity; squeezing unsteady; inclination angle of applied magnetic field; Runge-Kutta-fehlberg method; DTM method.References:
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