Derives a thermodynamically consistent continuum model for magnetic particle transport and capture in high-gradient fields from a free-energy functional, producing simulations of capture shapes and a Mason-number phase diagram with three regimes.
Let Ω f be the fluid domain andc(x, t) the volumetric particle concentration [m −3]
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Thermodynamically Consistent Continuum Theory of Magnetic Particles in High-Gradient Fields
Derives a thermodynamically consistent continuum model for magnetic particle transport and capture in high-gradient fields from a free-energy functional, producing simulations of capture shapes and a Mason-number phase diagram with three regimes.