Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles

This paper seeks to carry out the rigorous homogenization of a particulate flow consisting non-dilute suspension viscous Newtonian fluid with magnetizable particles. The is assumed be described by Stokes flow, while particles are either paramagnetic or diamagnetic, for which magnetization field linear function magnetic field. coefficients corresponding partial differential equations locally periodic. A one-way coupling between domain and also assumed. homogenized effective response such derived, mathematical justification obtained asymptotics carried out. two-scale convergence method adopted latter. As consequence, presented result provides formal asymptotic analysis Levy Sanchez-Palencia steady-state flows.