Numerical simulation of magnetic bead chains in a magnetic field using 3-D distinct element method

Nobuyuki Nakayama, Hiroyuki Kawamoto

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Formation of magnetic bead chains in a magnetic field was numerically simulated with the Distinct Element Method in order to apply for improvements of a magnetic brush development system in electrophotography. Simulated chain configurations, length and slant angle, and dynamic chain forming process were compared to the experimental results. The 2-D calculation could not simulate quantitatively well the chain configurations and the process, because the magnetic interaction between beads was under estimated due to the neglect of the interaction force between three-dimensionally distributed beads. On the other hand, 3-D calculation showed good agreement with experiments and it is concluded that 3-D calculation is indispensable for the quantitative evaluation. It was also confirmed that chain configurations were determined approximately to minimize its total potential energy given by the sum of magnetic energy and gravitational energy.

Original languageEnglish
Pages (from-to)804-811
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume70
Issue number3
Publication statusPublished - 2004 Mar
Externally publishedYes

Fingerprint

Magnetic fields
Computer simulation
Brushes
Potential energy
Experiments

Keywords

  • Distinct Element Method
  • Information Processing Equipment
  • Laser Printer
  • Magnetic Brush Development
  • Numerical Analysis

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

@article{ffd5bba4f9514eb5a005739e35f2bc67,
title = "Numerical simulation of magnetic bead chains in a magnetic field using 3-D distinct element method",
abstract = "Formation of magnetic bead chains in a magnetic field was numerically simulated with the Distinct Element Method in order to apply for improvements of a magnetic brush development system in electrophotography. Simulated chain configurations, length and slant angle, and dynamic chain forming process were compared to the experimental results. The 2-D calculation could not simulate quantitatively well the chain configurations and the process, because the magnetic interaction between beads was under estimated due to the neglect of the interaction force between three-dimensionally distributed beads. On the other hand, 3-D calculation showed good agreement with experiments and it is concluded that 3-D calculation is indispensable for the quantitative evaluation. It was also confirmed that chain configurations were determined approximately to minimize its total potential energy given by the sum of magnetic energy and gravitational energy.",
keywords = "Distinct Element Method, Information Processing Equipment, Laser Printer, Magnetic Brush Development, Numerical Analysis",
author = "Nobuyuki Nakayama and Hiroyuki Kawamoto",
year = "2004",
month = "3",
language = "English",
volume = "70",
pages = "804--811",
journal = "Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "Japan Society of Mechanical Engineers",
number = "3",

}

TY - JOUR

T1 - Numerical simulation of magnetic bead chains in a magnetic field using 3-D distinct element method

AU - Nakayama, Nobuyuki

AU - Kawamoto, Hiroyuki

PY - 2004/3

Y1 - 2004/3

N2 - Formation of magnetic bead chains in a magnetic field was numerically simulated with the Distinct Element Method in order to apply for improvements of a magnetic brush development system in electrophotography. Simulated chain configurations, length and slant angle, and dynamic chain forming process were compared to the experimental results. The 2-D calculation could not simulate quantitatively well the chain configurations and the process, because the magnetic interaction between beads was under estimated due to the neglect of the interaction force between three-dimensionally distributed beads. On the other hand, 3-D calculation showed good agreement with experiments and it is concluded that 3-D calculation is indispensable for the quantitative evaluation. It was also confirmed that chain configurations were determined approximately to minimize its total potential energy given by the sum of magnetic energy and gravitational energy.

AB - Formation of magnetic bead chains in a magnetic field was numerically simulated with the Distinct Element Method in order to apply for improvements of a magnetic brush development system in electrophotography. Simulated chain configurations, length and slant angle, and dynamic chain forming process were compared to the experimental results. The 2-D calculation could not simulate quantitatively well the chain configurations and the process, because the magnetic interaction between beads was under estimated due to the neglect of the interaction force between three-dimensionally distributed beads. On the other hand, 3-D calculation showed good agreement with experiments and it is concluded that 3-D calculation is indispensable for the quantitative evaluation. It was also confirmed that chain configurations were determined approximately to minimize its total potential energy given by the sum of magnetic energy and gravitational energy.

KW - Distinct Element Method

KW - Information Processing Equipment

KW - Laser Printer

KW - Magnetic Brush Development

KW - Numerical Analysis

UR - http://www.scopus.com/inward/record.url?scp=2942532903&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2942532903&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:2942532903

VL - 70

SP - 804

EP - 811

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 3

ER -