Magneto-permeability effect in ferrofluid flow through porous media studied via multiparticle collision dynamics

Ilg, P. ORCID: https://orcid.org/0000-0002-7518-5543 (2024) Magneto-permeability effect in ferrofluid flow through porous media studied via multiparticle collision dynamics. Transport in porous media, 151. pp. 1363-1380. ISSN 0169-3913 doi: 10.1007/s11242-024-02077-w

Abstract/Summary

As more and more promising applications of magnetic nanoparticles in complicated environments are explored, their flow properties in porous media are of increasing interest. We here propose a hybrid approach based on the Multiparticle Collision Dynamics Method extended to porous media via friction forces and coupled with Brownian Dynamics simulations of the rotational motion of magnetic nanoparticles’ mag- netic moment. We simulate flow in planar channels homogeneously filled with a porous medium and verify our implementation by repro- ducing the analytical velocity profile of the Darcy-Brinkman model in the non-magnetic case. In the presence of an externally applied mag- netic field, the non-equilibrium magnetization and friction forces lead to field-dependent velocity profiles that result in effective, field-dependent permeabilities. We provide a theoretical expression for this magneto- permeability effect in analogy with the magneto-viscous effect. Finally, we study the flow through planar channels, where only the walls are covered with a porous medium. We find a smooth crossover from the Poiseuille profile in the center of the channel to the Brinkman-Darcy flow in the porous layers. We propose a simple estimate of the thickness of the porous layer based on the flow rate and maximum flow velocity.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/115791
Identification Number/DOI	10.1007/s11242-024-02077-w
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Springer
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