Numerical modeling of ferrofluid droplets in magnetic fields

S. Afkhami, Y. Renardy, M. Renardy, J. S. Riffle, T. G.St Pierre

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

4 Scopus citations


The motion and shape of a ferrofluid droplet placed in a non-magnetic viscous fluid and driven by a magnetic field are modeled numerically. The governing equations are the Maxwell equations, momentum equation and incompressibility. The numerical simulation uses a volume-of-fluid algorithm with a continuum-surface-force formulation for an axisymmetric geometry. The deformations in the drop under non-uniform magnetic fields are simulated. Droplets exhibit shape changes along the applied magnetic field. We have found that the ferrofluid droplet forms a prolate ellipsoid in the presence of a non-uniform magnetic field. For higher magnetic field strengths, the droplet undergoes dramatic deformation. This in turn influences the motion of the droplet through the viscous medium.

Original languageEnglish (US)
Title of host publicationThe XVth International Congress on Rheology - The Society of Rheology 80th Annual Meeting
Number of pages3
StatePublished - 2008
Externally publishedYes
Event15th International Congress on Rheology - Monterey, CA, United States
Duration: Aug 3 2008Aug 8 2008

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Other15th International Congress on Rheology
Country/TerritoryUnited States
CityMonterey, CA

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


  • Computational fluid mechanic
  • Ferrofluid drop
  • VOF


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