Partial Differential Equations in Applied Mathematics (Mar 2025)
Temperature-dependent thermal conductivity and viscosity effect on the pressure-gravity flow of an engine oil-based hybrid nanofluid in an inclined channel
Abstract
This study endeavours to investigate the behaviour of a nanofluid flowing through an inclined channel utilizing engine oil, considering the influences of temperature-dependent thermal conductivity, pressure gradient, and varying viscosity. For practical reasons, the effect of viscous dissipation is also taken into account. Under some conditions, the flow problem can also be simplified to be studied as a gravity-driven flow. The bvp4c method is employed to resolve the controlling temperature and velocity equations. It can be noted that the heat transfer rate experiences a 214% increase, while the skin friction rises by 98% following the sudden acceleration of the upper plate. For the constant model, the same issue is addressed analytically. It is clear that the problem's use is in the automotive industry, and if water is taken as the basic fluid, it can be used for solar heaters because the angle of inclination increases velocity and decreases temperature.