In this talk, the rigorous periodic homogenization for a coupled system, which models a suspension of magnetizable rigid particles in a non-conducting carrier viscous Newtonian fluid is discussed. Both one-way and two-way coupling between the fluid and particles are considered. As the size of the particles approaches zero, it is shown that the suspension’s behavior is governed by a generalized homogenized magnetohydrodynamic system, whose parameters are explicitly derived. The two-scale convergence is utilized to justified obtained homogenized behavior of the original heterogeneous system.
Homogenization of a suspension of viscous fluid with magnetic particles*
Yuliya Gorb, National Science FoundationAuthors: Thuyen Dang, Yuliya Gorb, and Silvia Jiménez Bolaños
2022 AWM Research Symposium
Recent Advancements in the Mathematics of Materials