On the field-induced transport of magnetic nanoparticles in incompressible flow: Modeling and numerics

Grün G, Weiß P (2019)


Publication Type: Journal article

Publication year: 2019

Journal

DOI: 10.1142/S0218202519500477

Abstract

By methods from non-equilibrium thermodynamics, we derive a class of nonlinear pde-models to describe the motion of magnetizable nanoparticles suspended in incompressible carrier fluids under the influence of external magnetic fields. Our system of partial differential equations couples Navier-Stokes and magnetostatic equations to evolution equations for the magnetization field and the particle number density. In the second part of the paper, a fully discrete mixed finite-element scheme is introduced which is rigorously shown to be energy-stable. Finally, we present numerical simulations in the 2D-case which provide first information about the interaction of particle density, magnetization and magnetic field.

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How to cite

APA:

Grün, G., & Weiß, P. (2019). On the field-induced transport of magnetic nanoparticles in incompressible flow: Modeling and numerics. Mathematical Models & Methods in Applied Sciences. https://dx.doi.org/10.1142/S0218202519500477

MLA:

Grün, Günther, and Patrick Weiß. "On the field-induced transport of magnetic nanoparticles in incompressible flow: Modeling and numerics." Mathematical Models & Methods in Applied Sciences (2019).

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