AI Article Synopsis
- This study uses numerical simulations to explore how paramagnetic spherical particles behave in a thick fluid, focusing on their aggregation dynamics.
- When the strength of magnetic attraction surpasses a certain threshold, particles start to combine into larger structures called supraparticles.
- As time goes on, these clusters grow larger due to interactions between particles and chains, showing a power-law relationship with time that matches well with existing experimental data.
Article Abstract
The aggregation dynamics of paramagnetic spherical particles embedded in a viscous fluid is investigated via numerical simulations using a fully coupled three-dimensional model. Particles experience simultaneously Brownian motion, dipolar magnetic attraction, and multibody hydrodynamic interactions. When the dipole strength characterizing the ratio of magnetic attraction to random diffusion exceeds a critical value, particles join together forming supraparticle structures. As time evolves, particle/chain and chain/ chain interactions lead to a continuous increase of the cluster size. The mean length of particle chains has a power-law dependence with respect to time, as predicted by the theory of diffusion-limited aggregation. Both the exponent and the characteristic time scale agree very well with the experimental results of Promislow et al.
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