Lattice kinetic formulation for ferrofluids
P. J. Dellar (2005) Lattice kinetic formulation for
ferrofluids J.
Statist. Phys. 121 105-118
doi:10.1007/s10955-005-8056-0
Preprint available as Adobe PDF (Ferro.pdf
140K)
Abstract
The lattice Boltzmann approach is used to solve continuum equations
describing colloids of ferromagnetic particles (ferrofluids) in a
regime where the particle spins are in equilibrium with magnetic
torques. This limit of rapid spin adjustment yields a symmetric total
stress tensor that is essential for a kinetic formulation based on the
Boltzmann equation. The magnetisation equation is solved using a
vector-valued distribution analogous to the earlier treatment [J.
Comput. Phys. 179, 95] of
the
induction equation in magnetohydrodynamics, but the details are
rather more complex because the magnetisation equation is not in
conservation form except in a weakly magnetised limit.
@article{DellarFerro05,
Author =
{Dellar, Paul},
Title = {Lattice Kinetic Formulation for
Ferrofluids},
Journal = {J.
Statist. Phys.},
Year = {2005},
Volume =
{121},
Pages = {105--118},
DOI = {doi:10.1007/s10955-005-8056-0},
URL = {http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10955-005-8056-0}
}