Thermo solutal convective transport of aqueous Fe3O4 nanofluid in an inclined porous annulus under combined thermophoretic and electrophoretic forces

Abstract This computational study examines the electrophoretic and thermophoretic particle deposition, as well as the mass and heat transfer, of a dissipative and radiative Fe 3 O 4 aqueous nanofluid flow in a porous, inclined annular medium under the influence of a magnetic field. The modelling of the current problem resulted in a complex, non-linear system of partial differential equations. These equations are solved by adopting a finite difference approach. The computed results are in exceptional agreement with those of existing results. This study demonstrates that for the normal incidence of inclination (0 30^{0 }), hydrostatic pressure plays a major role in the axial velocity and also when the annulus is horizontal maximum axial velocity moves downward. Adjusting the radiation parameter improves thermal efficiency and homogeneity in nanofluid-based heating systems. As the values of the electrophoretic particle deposition parameter increase, the concentration of the nanofluid enhances, whereas the concentration diminishes with a rise in the thermophoretic particle deposition parameter. Higher values of radiation parameters increase the nanofluid’s heat transfer rate and the increased values of the viscous dissipation diminish the heat transfer rate.