Shear modulus of structured electrorheological fluid mixtures

Kyohei Shitara, Takahiro Sakaue

Research output: Contribution to journalArticle

Abstract

Some immiscible blends under a strong electric field often exhibit periodic structures, bridging the gap between two electrodes. Upon shear, the structures tilt, and exhibit an elastic response which is mostly governed by the electric energy. Assuming a two-dimensional stripe structure, we calculate the Maxwell stress, and derive an expression for the shear modulus, demonstrating how it depends on the external electric field, the composition, and the dielectric properties of the blend. We also suggest the notion of effective interfacial tension, which renormalizes the effect of the electric field. This leads to a simple derivation of the scaling law for the selection of the wavelength of the structure formed under an electric field.

Original languageEnglish
Article number052603
JournalPhysical Review E
Volume93
Issue number5
DOIs
Publication statusPublished - May 5 2016

Fingerprint

Electrorheological Fluid
electrorheological fluids
Electric Field
Modulus
shear
electric fields
Interfacial Tension
Dielectric Properties
Periodic Structures
Scaling Laws
Tilt
scaling laws
External Field
Electrode
dielectric properties
interfacial tension
derivation
Wavelength
Calculate
electrodes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Shear modulus of structured electrorheological fluid mixtures. / Shitara, Kyohei; Sakaue, Takahiro.

In: Physical Review E, Vol. 93, No. 5, 052603, 05.05.2016.

Research output: Contribution to journalArticle

Shitara, Kyohei ; Sakaue, Takahiro. / Shear modulus of structured electrorheological fluid mixtures. In: Physical Review E. 2016 ; Vol. 93, No. 5.
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