Multi-phase flow of Jeffrey Fluid bounded within magnetized horizontal surface

Present communication explores the multi-phase flow of non-Newtonian fluid with heat transfer through a horizontal channel. Jeffrey fluid is considered as the base liquid which suspends metallic particles of Hafnium (Hf). Heating effects have been applied on the upper wall. The magnetic field, along with radiative heat flux, has also been taken into account. Three different particulate flows, namely; (i) pressure-driven multi-phase flow, (ii) moving wall-driven multi-phase flow and, (iii) pressure and moving wall driven multi-phase, are derived. A closed-form solution for each bi-phase flow is achieved and compared. The impacts of most significant emerging parameters, on velocity and temperature profile, are observed graphically. It is inferred that more thermal energy adds to the system friction force and viscous dissipation, whereas, heat transfer rate increases due to radiation. The momentum of multi-phase flow enhances due to shear thinning effects caused by Jeffrey fluid parameter.