Skip to main content
SpringerLink
Log in

Computer simulations of electrorheological fluids

  • Chapter
Mathematics in Industrial Problems

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 57))

  • 308 Accesses

Abstract

The term electrorheological (ER) fluid applies generally to any liquid that exhibits a marked change in rheological behavior in an external electric field. The ER fluids are typically colloidal suspensions of micron-sized polarizable particles in low conductivity liquids. A large electric field aligns the particles into chains and columns parallel to the field, thereby increasing the resistance to shear. The ER effect is currently being widely studied for variety of automotive products such as shock absorbers, clutches, and engine mounts. It has potential applications also in other vibration damping devices as they occur, for instance, in buildings and other structures which resist shock (e.g. of earthquake) and in designing quiet submarines.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Friedman, Mathematics in Industrial Problems, Part 5, IMA Volume 49, Springer-Verlag, New York (1992).

    MATH  Google Scholar 

  2. A.P. Gast and C.F. Zukoski, Electrorheological fluids as colloidal suspensions, Advances in Colloid and Interface Sciences, 30 (1989), 153–202.

    Article  Google Scholar 

  3. H. Conrad and A.F. Sprecher, Characteristics and mechanisms of electrorheological fluids,J. Stat. Phys., 64 (1991), 1073–1091.

    Article  Google Scholar 

  4. D.L. Hartsock, R.F. Novak and G.J. Chaundy, ER fluid requirements for automatic devices, J. of Rheology, 35 (1991), 1305–1326.

    Article  Google Scholar 

  5. J.D. Jackson, Classical Electrodynamics, 2nd ed., John Wiley amp Sons, New York (1975).

    MATH  Google Scholar 

  6. P.M. Adriani and A.P. Gast, A microscopic model of electrorheology, Physics of Fluids, 31 (1988), 2757–2768.

    Article  MATH  Google Scholar 

  7. T.C. Halsey and W. Toor, Structure of electrorheological fluids,Phys. Rev. Lett, 65 (1990), 2820.

    Article  Google Scholar 

  8. R. Tao and J.M. Sun, Three-dimensional structure of induced electrorheological solid,Phys. Rev. Lett., 67 (1991), 398–401.

    Article  Google Scholar 

  9. D.J. Klingenberg, F. van Swol and C.F. Zukoski, Dynamic simulation of electrorheological suspensions, J. Chem. Phys., 91 (1989), 7888–7895.

    Article  Google Scholar 

  10. D.J. Klingenberg, F. van Swol and C.F. Zukoski, The small shear rate response of electrorheological suspensions. II. Extension beyond the point-dipole limits, J. Chem. Phys., 92, (1991), 6170–6178.

    Article  Google Scholar 

  11. K.C. Hass, Computer simulations of nonequilibrium structure formation in electrorheological fluids, to appear in Physical Review E.

    Google Scholar 

  12. J.M. Ginder and L.D. Elie, Optical probes of structure formation in electrorheological fluids, Electrorheological Fluids, pp. 23–36, edited by R. Tao, World Scientific, Singapore (1992).

    Google Scholar 

  13. L.C. Davis, Polarization forces and conductivity effects in electrorheological fluids, J. Appl. Phys., 72 (1992), 1334–1340.

    Article  Google Scholar 

  14. R.T. Bonnecaze and J.F. Brady, Dynamic simulation of an electrorheological fluid, J. Chem. Phys., 96 (1992), 2183.

    Article  Google Scholar 

  15. J.L. Davis, Electric field in an arbitrary random pack of spherical particles, J. Appl. Phys., 72 (1990), 955–964.

    Article  Google Scholar 

  16. Scattering and Localization of Classical Waves in Random Media, edited by P. Sheng, World Scientific, Singapore (1990).

    Google Scholar 

  17. C.F. Bohren and D.R. Huftman, Absorbing and Scattering of Light by Small Particles,Wiley & Sons, New York 1983.

    Google Scholar 

  18. P.E. Wolf, G. Maret, E. Akkermans and R. Maynard, Optimal coherent backscattering by random-media-an experimental study, Journal de Physique, 49 (1988), 63–75.

    Article  Google Scholar 

  19. P.M. Saulnier, M.P. Zinkin and G.H. Watson, Scatterer correlation effects on photon transport in dense random media, Phys. Rev. B., 42 (1990), 2621–2623.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, 55455, USA

    Avner Friedman

Authors
  1. Avner Friedman
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag New York, Inc.

About this chapter

Cite this chapter

Friedman, A. (1994). Computer simulations of electrorheological fluids. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and its Applications, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8383-3_11

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-8383-3_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8385-7

  • Online ISBN: 978-1-4613-8383-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation