Evaluation of a constitutive equation for magnetorheological fluids in shear and elongational flows

Constantin Ciocanel, Glenn Lipscomb, Nagi G. Naganathan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A microstructural model of the motion of particle pairs in MR fluids is proposed that accounts for both hydrodynamic and magnetic field forces. A fluid constitutive equation is derived from the model that allows prediction of velocity and particle structure fields. Results for simple shear and elongational flows are presented for cases where particle pairs remain in close contact so they are hydrodynamically equivalent to an ellipsoid of aspect ratio two. Additionally, only the magnetic force component normal to the vector connecting the centers of a particle pair affects motion. Shear flow results indicate particle pairs rotate continuously with the flow at low magnetic fields while a steady state is reached at high fields. For elongational flows, when the applied magnetic field is parallel to the elongation direction, particle pairs orient in the field/flow direction. Either orientation is possible when the field is perpendicular to the flow.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Aerospace Division 2005
Pages101-109
Number of pages9
DOIs
StatePublished - 2005
Event2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005 - Orlando, FL, United States
Duration: Nov 5 2005Nov 11 2005

Publication series

NameAmerican Society of Mechanical Engineers, Aerospace Division (Publication) AD
Volume70 AD
ISSN (Print)0733-4230

Other

Other2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005
Country/TerritoryUnited States
CityOrlando, FL
Period11/5/0511/11/05

Keywords

  • Constitutive equations
  • Magnetorheological fluids
  • Particle suspensions

ASJC Scopus subject areas

  • Mechanical Engineering
  • Space and Planetary Science

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