Two-phase flow of MHD Jeffrey fluid with the suspension of tiny metallic particles incorporated with viscous dissipation and Porous Medium

Magnetohydrodynamic (MHD) flow of fluids with porous media has several applications in medical and industrial fields, including hyperthermia, wound treatment using magnetic field, cancer treatment, heat exchangers, catalytic reactions and distillation towers. In the present work, we explored the two-phase flow of MHD Jeffrey fluid in the presence of porous media through horizontal walls. The uniform liquid properties and magnetic field effects are also considered in this investigation. The heat and mass transfer effects on fluid flow with the addition of Hafnium metallic particles are evaluated. The governing nonlinear momentum and energy equations are found by using Jeffrey's stress tensor. We discussed three types of flows, namely, Plane Poiseuille, Plane Couette, and Generalized Couette. The effects of all involved parameters on flow and temperature distributions are deliberated with graphs for all cases separately. The results interpreted that increase in values of Darcy number upsurges the velocity and temperature distributions. Radiation parameter declined the temperature of fluid while Brinkman number enhances temperature in all types of flow. Comparison of Newtonian and non-Newtonian fluid is also presented in this study, and we also validated our results by comparing them with the already existing literature results.

Automated summary

The study investigates the two-phase flow of MHD Jeffrey fluid in porous media, considering uniform liquid properties and magnetic field effects, and evaluating heat and mass transfer effects with the addition of Hafnium metallic particles. Different types of flows are discussed, showing that an increase in Darcy number leads to higher velocity and temperature distributions, while radiation parameter lowers fluid temperature and Brinkman number enhances temperature. The study also compares Newtonian and non-Newtonian fluids and validates the results by comparing them with existing literature.