A constitutive equation for magnetorheological fluid characterization

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 the prediction of velocity and particle structure fields. The analysis is similar to that of bead-spring models of polymeric liquids with replacement of the elastic connector force by a magnetic force. Results for simple shear flow are presented for the case when the two particles remain in close contact so they are hydrodynamically equivalent to an ellipsoid with an aspect ratio of two and only the component of the magnetic force normal to the connecting vector between the centers of the two particles affects motion. The model predicts oscillatory motion of the particle pairs at low magnetic fields. The fluid reaches a steady state at high magnetic fields. The time required to reach the steady state for a given shear rate reduces significantly as the field increases.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsW.D. Armstrong
Pages521-529
Number of pages9
Volume5761
DOIs
StatePublished - 2005
Externally publishedYes
EventSmart Structures and Materials 2005 - Active Materials: Behavior and Mechanics - San Diego, CA, United States
Duration: Mar 7 2005Mar 10 2005

Other

OtherSmart Structures and Materials 2005 - Active Materials: Behavior and Mechanics
CountryUnited States
CitySan Diego, CA
Period3/7/053/10/05

Fingerprint

Magnetorheological fluids
magnetorheological fluids
constitutive equations
Constitutive equations
Magnetic fields
Fluids
fluids
Springs (water)
magnetic fields
Shear flow
Shear deformation
connectors
Aspect ratio
ellipsoids
Hydrodynamics
shear flow
beads
aspect ratio
hydrodynamics
shear

Keywords

  • Constitutive equations
  • Magnetorheological fluids
  • Particle suspensions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Ciocanel, C., Lipscomb, G., & Naganathan, N. G. (2005). A constitutive equation for magnetorheological fluid characterization. In W. D. Armstrong (Ed.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 5761, pp. 521-529). [83] https://doi.org/10.1117/12.620082

A constitutive equation for magnetorheological fluid characterization. / Ciocanel, Constantin; Lipscomb, Glenn; Naganathan, Nagi G.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / W.D. Armstrong. Vol. 5761 2005. p. 521-529 83.

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

Ciocanel, C, Lipscomb, G & Naganathan, NG 2005, A constitutive equation for magnetorheological fluid characterization. in WD Armstrong (ed.), Proceedings of SPIE - The International Society for Optical Engineering. vol. 5761, 83, pp. 521-529, Smart Structures and Materials 2005 - Active Materials: Behavior and Mechanics, San Diego, CA, United States, 3/7/05. https://doi.org/10.1117/12.620082
Ciocanel C, Lipscomb G, Naganathan NG. A constitutive equation for magnetorheological fluid characterization. In Armstrong WD, editor, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 5761. 2005. p. 521-529. 83 https://doi.org/10.1117/12.620082
Ciocanel, Constantin ; Lipscomb, Glenn ; Naganathan, Nagi G. / A constitutive equation for magnetorheological fluid characterization. Proceedings of SPIE - The International Society for Optical Engineering. editor / W.D. Armstrong. Vol. 5761 2005. pp. 521-529
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