A phenomenological model of electrorheo logical fluids

Peter O. Brunn, Basim Abu-Jdayil

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


The fundamental assumption of the paper is that the extra stress tensor τ of an electrorheological fluid is an isotropic tensor valued function of the rate of strain tensor D and the vector n (which characterizes the orientation scs n̂ and length N of the fibers formed by application of an electric field). The resulting constitutive equation for τ is supplemented by the solution of the previously studied time evolution equation for n. Plastic behavior for the shear and normal stresses is predicted. Anticipating that the action of increasing shear rate scs γ is i) to orient the fibers more and more in the direction of flow and ii) simultaneously to break up the fibers leads to the conclusion that for γ → ∞ the same behavior is encountered as without an electric field. Using realistically possible approximation formulas for the dependence of n̂ and N on γ leads to the Bingham behavior for γ → 0 and power law behavior for large shear rates.

Original languageEnglish
Pages (from-to)62-67
Number of pages6
JournalRheologica Acta
Issue number1
Publication statusPublished - Feb 2004
Externally publishedYes


  • Bingham fluid for → 0
  • Electrorheological fluids
  • Phenomenological constitutive equation
  • Plastic fluid
  • Power law behavior for → ∞

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Chemical Engineering (miscellaneous)
  • General Materials Science


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