Multi-scale model of magnetically-driven flows in dead-end channels

Abstract eng:
Observations show that dilute suspensions of iron particles in a rotating magnetic field form rotating rods along the wall of a blocked channel, creating a convective flow. We propose a multi-scale mechanism for this magnetically-driven flow. At the particle-scale, particles chain up to a length balancing magnetic and hydrodynamic forces on the resulting chains. The weak gradient of the magnetic field causes the chains to accumulate on one side of the channel. They rotate due to the rotating magnetic field, provided the field strength is high enough, which creates a localized body couple in the flow that drives a macroscopic convective flow in the channel. Coupled transport equations for the particles, chains and the suspension as a whole are presented and are successfully compared to experimental observations.

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