Affiliations: [a] Nagoya Institute of Technology, Gokiso-cho, Showa-ku,
Nagoya 466-8555, Japan | [b] Mitsui Chemicals, Inc., 30 Asamuta-cho, Ohmuta
836-8610, Japan
Correspondence:
[*]
Corresponding author: Yasushi Ido, Department of Engineering
Physics, Electronics and Mechanics, Nagoya Institute of Technology, Gokiso-cho,
Showa-ku, Nagoya 466-8555, Japan. Tel.: +81 52 735 5321; Fax: +81 52 735 5321;
E-mail: [email protected]
Abstract: A lattice Boltzmann method for two-phase flows with large density
ratios proposed by T. Inamuro, et al. (2004) is extended in order to simulate
behavior of magnetic fluids in the presence of steady weak magnetic field. A
new additional term corresponding to the Maxwell stress tensor is introduced
into the distribution function. The additional term is determined by using the
Chapman-Enskog expansion. Surface deformation of a magnetic fluid drop in the
presence of magnetic field is simulated by using this method, and the results
are qualitatively agree well with the experimental results.
Keywords: Lattice Boltzmann method, magnetic fluid, Chapman-Enskog expansion
