Abstract

Paramagnetic particles, when subjected to external unidirectional rotating magnetic fields, form chains which rotate along with the magnetic field. In this paper three simulation methods, particle dynamics (PD), Stokesian dynamics (SD) and lattice Boltzmann (LB) methods, are used to study the dynamics of these rotating chains. SD simulations with two different levels of approximations - additivity of forces (AF) and additivity of velocities (AV) - for hydrodynamic interactions have been carried out. The effect of hydrodynamic interactions between paramagnetic particles under the effect of a rotating magnetic field is analyzed by comparing the LB and SD simulations, both of which include hydrodynamic interactions, with PD simulations in which hydrodynamic interactions are neglected. It was determined that for macroscopically observable properties like average chain length as a function of Mason number, reasonable agreement is found between all the three methods. For microscopic properties like the force distribution on each particle along the chain, inclusion of hydrodynamic interaction becomes important to understand the underlying physics of chain formation.

Original languageEnglish (US)
Pages (from-to)33-41
Number of pages9
JournalMicrofluidics and Nanofluidics
Volume5
Issue number1
DOIs
StatePublished - Jul 2008

Fingerprint

Hydrodynamics
hydrodynamics
Magnetic fields
Computer simulation
interactions
simulation
magnetic fields
force distribution
Chain length
Physics
inclusions
physics
approximation

Keywords

  • Biochemical sensors
  • Magnetorheological fluids
  • Simulation

ASJC Scopus subject areas

  • Materials Science (miscellaneous)
  • Fluid Flow and Transfer Processes

Cite this

@article{7147bfc61840433483737504d348797e,
title = "Dynamics of rotating paramagnetic particle chains simulated by particle dynamics, Stokesian dynamics and lattice Boltzmann methods",
abstract = "Paramagnetic particles, when subjected to external unidirectional rotating magnetic fields, form chains which rotate along with the magnetic field. In this paper three simulation methods, particle dynamics (PD), Stokesian dynamics (SD) and lattice Boltzmann (LB) methods, are used to study the dynamics of these rotating chains. SD simulations with two different levels of approximations - additivity of forces (AF) and additivity of velocities (AV) - for hydrodynamic interactions have been carried out. The effect of hydrodynamic interactions between paramagnetic particles under the effect of a rotating magnetic field is analyzed by comparing the LB and SD simulations, both of which include hydrodynamic interactions, with PD simulations in which hydrodynamic interactions are neglected. It was determined that for macroscopically observable properties like average chain length as a function of Mason number, reasonable agreement is found between all the three methods. For microscopic properties like the force distribution on each particle along the chain, inclusion of hydrodynamic interaction becomes important to understand the underlying physics of chain formation.",
keywords = "Biochemical sensors, Magnetorheological fluids, Simulation",
author = "S. Krishnamurthy and A. Yadav and Patrick Phelan and Ronald Calhoun and Vuppu, {A. K.} and Antonio Garcia and Mark Hayes",
year = "2008",
month = "7",
doi = "10.1007/s10404-007-0214-z",
language = "English (US)",
volume = "5",
pages = "33--41",
journal = "Microfluidics and Nanofluidics",
issn = "1613-4982",
publisher = "Springer Verlag",
number = "1",

}

TY - JOUR

T1 - Dynamics of rotating paramagnetic particle chains simulated by particle dynamics, Stokesian dynamics and lattice Boltzmann methods

AU - Krishnamurthy, S.

AU - Yadav, A.

AU - Phelan, Patrick

AU - Calhoun, Ronald

AU - Vuppu, A. K.

AU - Garcia, Antonio

AU - Hayes, Mark

PY - 2008/7

Y1 - 2008/7

N2 - Paramagnetic particles, when subjected to external unidirectional rotating magnetic fields, form chains which rotate along with the magnetic field. In this paper three simulation methods, particle dynamics (PD), Stokesian dynamics (SD) and lattice Boltzmann (LB) methods, are used to study the dynamics of these rotating chains. SD simulations with two different levels of approximations - additivity of forces (AF) and additivity of velocities (AV) - for hydrodynamic interactions have been carried out. The effect of hydrodynamic interactions between paramagnetic particles under the effect of a rotating magnetic field is analyzed by comparing the LB and SD simulations, both of which include hydrodynamic interactions, with PD simulations in which hydrodynamic interactions are neglected. It was determined that for macroscopically observable properties like average chain length as a function of Mason number, reasonable agreement is found between all the three methods. For microscopic properties like the force distribution on each particle along the chain, inclusion of hydrodynamic interaction becomes important to understand the underlying physics of chain formation.

AB - Paramagnetic particles, when subjected to external unidirectional rotating magnetic fields, form chains which rotate along with the magnetic field. In this paper three simulation methods, particle dynamics (PD), Stokesian dynamics (SD) and lattice Boltzmann (LB) methods, are used to study the dynamics of these rotating chains. SD simulations with two different levels of approximations - additivity of forces (AF) and additivity of velocities (AV) - for hydrodynamic interactions have been carried out. The effect of hydrodynamic interactions between paramagnetic particles under the effect of a rotating magnetic field is analyzed by comparing the LB and SD simulations, both of which include hydrodynamic interactions, with PD simulations in which hydrodynamic interactions are neglected. It was determined that for macroscopically observable properties like average chain length as a function of Mason number, reasonable agreement is found between all the three methods. For microscopic properties like the force distribution on each particle along the chain, inclusion of hydrodynamic interaction becomes important to understand the underlying physics of chain formation.

KW - Biochemical sensors

KW - Magnetorheological fluids

KW - Simulation

UR - http://www.scopus.com/inward/record.url?scp=44249128174&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44249128174&partnerID=8YFLogxK

U2 - 10.1007/s10404-007-0214-z

DO - 10.1007/s10404-007-0214-z

M3 - Article

VL - 5

SP - 33

EP - 41

JO - Microfluidics and Nanofluidics

JF - Microfluidics and Nanofluidics

SN - 1613-4982

IS - 1

ER -