| Abstract: |
| We propose a thermodynamically consistent model for the motion of magnetized nanoparticles -- suspended in an incompressible liquid and under the influence of magnetic fields.
Combining Onsager`s variational principle with the equations of magnetostatics, we derive a coupled elliptic-parabolic system for the evolution of fluid velocity, pressure, magnetization, particle density, and magnetic field. Based on a stable discretization with mixed finite elements, numerical simulations in 2D are presented. Moreover, existence of weak solutions is addressed, too. |
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