Development of the Method of Activating the Brownian Motion for Application of the Lattice Boltzmann Method to Magnetic Particle Dispersions(Fluids Engineering)

• SATOH Akira

  Department of Machine Intelligence and System Engineering, Akita Prefectural University

Bibliographic Information

Other Title

• 格子ボルツマン法の磁性粒子分散系への適用のためのブラウン運動誘起法の検討(流体工学,流体機械)
• 格子ボルツマン法の磁性粒子分散系への適用のためのブラウン運動誘起法の検討
• コウシ ボルツマンホウ ノ ジセイ リュウシ ブンサンケイ エ ノ テキヨウ ノ タメ ノ ブラウン ウンドウ ユウキホウ ノ ケントウ

Abstract

We have discussed the feasibility of several methods for activating the Brownian motion of dispersed particles in the lattice Boltzmann method by considering aggregation phenomena in a dispersion composed of magnetic particles. The methods to be treated in the present study are a technique based on the fluctuation hydrodynamics (flucuation-hydro-type), in which the fluctuation term is combined into the basic equations of the usual lattice Boltzmann equations, and another technique based on the Brownian dynamics method (hybrid-type), in which the random forces in the Brownian dynamics are simply added to the equations of motion of magnetic particles. The validity of the present results has been discussed by comparing those with the results of Monte Carlo simulations. The fluctuation-hydro-type method gives rise to a relatively emphasized activation of the Brownian motion, and, in contrast, the hybrid-type method yields a weaker activation of such motion. In order to improve these Brownian-motion-activating techniques, the velocity scaling method has been introduced to both these techniques. The modified fluctuation-hydro-type method has been seen to give rise to significantly good agreement with Monte Carlo results. That is, in this method, the translational and rotational Brownian motion of magnetic particles can be activated with sufficient accuracy. In contrast, the hybrid-type method with such a modification cannot reproduce aggregate structures of magnetic particles on a physically accurate level.

Journal

• TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B

  TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B 76 (770), 1534-1542, 2010

  The Japan Society of Mechanical Engineers

Keywords

• Lattice Boltzmann Method
• Magnetic Particle Dispersion
• Brownian Motion
• Magnetic Particles
• Aggregation Phenomena
• Pair Correlation Function
• Magnetization Curve

Details

• CRID: 1390282681271153920
• NII Article ID: 110007818254
• NII Book ID: AN00187441
• DOI: 10.1299/kikaib.76.770_1534
• ISSN: 18848346
• ISSN: 03875016
• ISSN: http://id.crossref.org/issn/03875016
• NDL BIB ID: 10883498
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10883498
• Web Site: https://www.jstage.jst.go.jp/article/kikaib1979/76/770/76_KJ00006664377/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed