A Fully Resolved Simulation Method for Flows with Finite Size Suspended Magnetic Particles

For magnetic particulate flows, hydrodynamic and magnetic interactions must be considered in dense flows with high particle concentrations or particulate flows with finite-size magnetic particles. This article proposes a new numerical scheme for direct simulation of three-dimensional finite-size magnetic particulate flows considering inertial effects. A fully resolved simulation of magnetic particulate flows through a discrete forcing method of the Immersed Boundary Method (IBM) is used to resolve the hydrodynamic interactions and the Maxwell stress tensor formulation to resolve the magnetic interactions. The numerical code developed in the previous research is extended to resolve the magnetic field by applying the volume-of-fluid (VoF) approach and the Maxwell stress tensor formulation. The governing equations are presented and numerical methods are applied to some sample problems to show the ability of the numerical scheme. The simulation results illustrate the code’s validity and accurate prediction of magnetic particulate flows.