Velocity and thermal slip effects on two-phase flow of MHD Jeffrey fluid with the suspension of tiny metallic particles

This investigation addresses the mathematical analysis of three fundamental multiphase flows through diverse channels. Jeffrey fluid is taken as the base liquid which suspends with tiny spherical particles of Hafnium (Hf). Owing to the magnetic susceptibility of the metal particles and electrically conducting fluid, the effects of transversely applied magnetic fields have also been taken into account. Thermal slip boundary conditions are imposed on the magnetohydrodynamics (MHD) of multiphase flows which are confined by the lubricated flat walls. The additional contribution of viscous dissipation and thermal radiation. Flow dynamics are modeled with the help of Navier–Stokes equations; which end up in the system of nonlinear and coupled differential equations, then solved exactly. A detailed parametric study is also carried out, which reveals that the momentum of each phase reduces in response to Hartmann number while having an opposite influence on the temperature profile. More energy is added to the system due to an increase in Brinkman number and magnetic field. Finally, the presented theoretical study not only addresses many industrial applications. But, also helps to predict that multiphase flows through a horizontal channel is more prominent when generated by moving wall with the contribution of constant pressure gradient. Moreover, the present work serves as the precedent, for it bridges the missing gap in the existing literature. (paper)