Ion Slip and Hall Effects on Generalized Time-Dependent Hydromagnetic Couette Flow of Immiscible Micropolar and Dusty Micropolar Fluids with Heat Transfer and Dissipation: A Numerical Study

The hydrodynamics of immiscible micropolar fluids are important in a variety engineering problems, including biofluid dynamics arterial blood flows, pharmacodynamics, Principle Boundary layers, lubrication technology, short waves for heat-conducting fluids, sediment transportation, magnetohydrodynamics, multicomponent hydrodynamics, and electrohydrodynamic. Motivated by the development biological fluid modeling medical diagnosis instrumentation, this article examines collective impacts ion slip, viscous dissipation, Joule heating, Hall current on unsteady generalized magnetohydrodynamic (MHD) Couette flow two fluids. Two non-Newtonian incompressible dusty (fluid-particle suspension) considered horizontal duct with heat transfer. No-slip boundary conditions assumed at channel walls constant pressure gradient. Continuous shear stress velocity across interface between coupled partial differential equations formulated particle phases velocities, temperatures, microrotation profiles obtained. Under physically realistic interfacial conditions, Modified cubic-Bspline quadrature approach (MCB-DQM) is deployed to obtain numerical results. influence magnetic, thermal, other pertinent parameters, i.e. Hartmann magnetic number, Eckert (dissipation) Reynolds Prandtl material ion-slip concentration parameter, viscosity ratio, density time velocity, microrotation, temperature characteristics illustrated through graphs. MCB-DQM found be good agreement accuracy skin friction coefficient Nusselt number also explored. It that velocities reduced increasing numbers whereas they elevated increment parameters. Temperatures generally enhanced ratio. simulations relevant nuclear transfer control, MHD energy generators, electromagnetic multiphase systems chemical engineering.