Skip to main content

Mathematical problems associated with the elasticity of liquids

  • 3. Viscoelasticity
  • Conference paper
  • First Online:
Problems Involving Change of Type

Part of the book series: Lecture Notes in Physics ((LNP,volume 359))

  • 154 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ahrens, M., Yoo, J. Y. and Joseph, D. D. 1987 Hyperbolicity and change of type in the flow of viscoelastic fluids through pipes, J. Non-Newtonian Fluid Mech. 24, 67–83.

    Article  Google Scholar 

  • Ambari, A., Deslouis, C. and Tribollet, B. 1984 Coil-stretch transition of macromolecules in laminar flow around a small cylinder. Chem. Eng. Commun. 29, 63–78.

    Google Scholar 

  • Coleman, B. and Noll, W. 1960 An approximation theorem for functionals with applications in continuum mechanics, Arch. Rat. Mech. Anal. 6, 355–370.

    Google Scholar 

  • Fraenkel, L. E. 1987 Some results for a linear, partly hyperbolic model of viscoelastic flow past a plate, in Material Instabilities in Continuum Mechanics and Related Mathematical Problems (ed. J. M. Ball) Clarendon Press: Oxford.

    Google Scholar 

  • James, D. and Acosta, A. J. 1970 The laminar flow of dilute polymer solutions around circular cylinders, J. Fluid Mech. 42, 269–288.

    Google Scholar 

  • Joseph, D. D., Matta, J. and Chen, K. 1987 Delayed die swell, J. Non-Newtonian Fluid Mech. 24, 31–65.

    Article  Google Scholar 

  • Konuita, A., Adler, P. M. and Piau, J. M. 1980 Flow of dilute solutions around circular cylinders. J. Non-Newtonian Fluid Mech. 7, 101–106.

    Article  Google Scholar 

  • Renardy, M., Hrusa, W. J. and Nohel, J. A. 1987 Mathematical Problems in Viscoelasticity. Longman: Harlow, UK.

    Google Scholar 

  • Rutkevich, M.I. 1969 Some general properties of the equations of viscoelastic fluid dynamics. PMM 33, 42–51.

    Google Scholar 

  • Saut, J. C. and Joseph, D. D. 1983 Fading memory, Arch. Rat. Mech. Anal. 81, 53–95.

    Article  Google Scholar 

  • Slemrod, M. 1985 Breakdown of smooth shearing flow in viscoelastic fluids for two constitutive equations; the vortex sheet vs. the vortex shock. Appendix to the paper by Joseph, D. D. Hyperbolic phenomena in the flow of viscoelastic fluids, in Viscoelasticity and Rheology (eds. A. S. Lodge, J. Nobel and M. Renardy), Academic Press.

    Google Scholar 

  • Ultman, J. S. and Denn, M. M. 1970 Anomalous heat transfer and a wave phenomenon in dilute polymer solutions. Trans. Soc. Rheol. 14, 307–317.

    Article  Google Scholar 

  • Yoo, J. and Joseph, D. D. 1985 Hyperbolicity and change of type in the flow of viscoelastic fluids through channels. J. Non-Newtonian Fluid Mech. 19, 15–41.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K. Kirchgässner

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Joseph, D.D. (1990). Mathematical problems associated with the elasticity of liquids. In: Kirchgässner, K. (eds) Problems Involving Change of Type. Lecture Notes in Physics, vol 359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52595-5_88

Download citation

  • DOI: https://doi.org/10.1007/3-540-52595-5_88

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52595-0

  • Online ISBN: 978-3-540-47049-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics