Non-Newtonian ferrofluid flow in oscillating magnetic field

Mark Shliomis, Alexei Krekhov, Shinichi Kamiyama

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


We study theoretically ferrofluid pipe flow in a wide range of the flow rate in the presence of an oscillating magnetic field applied along the pipe axis. As demonstrated, the field-dependent part of ferrofluid viscosity (it can be either positive or negative) reveals significant dependence on the flow vorticity, i.e., ferrofluids exhibit non-Newtonian behavior. This is manifested in an alteration of the velocity profile - it ceases to be parabolic - and in deviation of the flow rate from the value prescribed by the Poiseuille's formula. The presented theoretical model is based on the conventional ferrohydrodynamic equations, an assumption of chainlike aggregates composed of magnetic grains, and some concepts of polymer physics. The model allows to describe self-consistently how the microstructure influences the ferrofluid flow in an externally imposed magnetic field while the field and the flow alter the ferrofluid microstructure. Using the model, we succeeded fitting well recent experimental data on the ferrofluid pipe flow in an oscillating magnetic field.

Original languageEnglish
Title of host publicationFLOW DYNAMICS
Subtitle of host publicationThe Second International Conference on Flow Dynamics
Number of pages9
StatePublished - 5 May 2006
EventFLOW DYNAMICS: The Second International Conference on Flow Dynamics - Sendai, Japan
Duration: 16 Nov 200518 Nov 2005

Publication series

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


ConferenceFLOW DYNAMICS: The Second International Conference on Flow Dynamics


  • Ferrofluid
  • Non-Newtonian
  • Pipe flow
  • Viscosity

ASJC Scopus subject areas

  • General Physics and Astronomy


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