Skip to main content
Log in

Hydrodynamic interactions of dilute polymer solutions in elongational flow

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

Dumbbell models are only crude representations of actual polymer molecules, but their simplicity allows for explicit calculations which in many instances have shed light on the connection between molecular properties and rheological behavior. On the other hand, hydrodynamic interactions are known to strongly influence the dynamic response of polymer solutions and this makes the representation of the hydrodynamic drag an important aspect in the calculations. In the present work, the effects of the state of flow are incorporated explicitly in the frictional properties of the FENE model of a dilute polymer solution. Results for the steady elongational viscosity and the mean square end-to-end distance arc presented.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. C. Öttinger,J. Non-Newtonian Fluid Mech. 33:53–93 (1989), and references therein.

    Google Scholar 

  2. H. C. Öttinger,Colloid Polym. Sci. 267:1–8 (1989).

    Google Scholar 

  3. M. López de Haro, A. Pérez-Madrid, and J. M. Rubí,J. Chem. Phys. 88(12):7964–7969 (1988).

    Google Scholar 

  4. R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager,Dynamics of Polymeric Liquids, Vol. 2 (Wiley, New York, 1977).

    Google Scholar 

  5. J. M. Wiest, L. E. Wedgewood, and R. B. Bird,J. Chem. Phys. 90(1):587–594 (1989).

    Google Scholar 

  6. P. Biller, H. C. Öttinger, and F. Petruccione,J. Chem. Phys. 85(3):1672–1675 (1986).

    Google Scholar 

  7. R. B. Bird, P. J. Dotson, and N. L. Johnson,J. Non-Newtonian Fluid Mech. 7:213–235 (1980).

    Google Scholar 

  8. Y. Rabín, S. Q. Wang, and D. B. Creamer,J. Chem. Phys. 90(1):570–574 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chávez, A.E., de Haro, M.L. & Manero, O. Hydrodynamic interactions of dilute polymer solutions in elongational flow. J Stat Phys 62, 1255–1266 (1991). https://doi.org/10.1007/BF01128186

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01128186

Key words

Navigation