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Transport in Porous Media

, Volume 72, Issue 1, pp 25–35 | Cite as

An experimental study of electrorheological fluid flow through a packed bed of glass beads

  • George G. ChaseEmail author
  • Patanee Dachavijit
Article

Abstract

This paper shows that pressure drop-flow rate performance of an electrorheological (ER) fluid flowing through a packed bed of glass beads is consistent with a modified Ergun equation for yield stress flow through a packed bed. ER fluids are of scientific and engineering interest due to the sensitivity of their rheological properties on the applied electric field. As far as we know ER fluids have not been studied for flows through porous media. In this work a silica particle–silicone oil suspension is pumped through a rectangular packed bed of glass beads with applied electric fields. The silica particles are observed to form fibrous structures parallel to the electric field that stretch between the beads and extend between the electrodes. The pressure drop-flow rate performance agrees well with the expected performance calculated from a modified Ergun equation for a yield stress fluid flow through the packed bed with the viscosity and yield stress as functions of the applied electric field.

Keywords

Electrorheological Electrorheology Yield stress Packed bed Ergun equation 

Abbreviation

dp

Bead diameter (m)

f

Friction factor

h

Channel height (m)

Hep

Hedstrom number for packed bed flow

L

Bed or channel length between pressure taps (m)

ΔP

Pressure drop (kPa)

Q

Volumetric flow rate (m3/s)

Rep

Reynolds number for packed bed flow

V

Empty bed average velocity (m/s)

vz

Local velocity in the z-direction (m/s)

W

Width of channel (m)

ɛ

Packed bed porosity

\(\dot{\gamma}\)

Strain rate (s−1)

μ0

Viscosity of yield stress fluid (kg/m s)

ρ

Fluid density (kg/m3)

τ0

Yield stress (N/m2)

τw

Shear stress at the channel wall (N/m2)

τxz

Local shear stress (N/m2)

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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Chemical and Biomolecular EngineeringThe University of AkronAkronUSA

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