Rheology pp 385-391 | Cite as

Extensional Flow of Dilute Polymer Solution

  • S. T. J. Peng
  • R. F. Landel


In the previous paper, the detailed experimental set-up and procedures were described for tubeless siphon or Fano flow, from which the tensile viscosity, ηT, is calculated. Here we investigate the simultaneous effects of temperature and concentration on tensile viscosity. A semi-empirical scaling law has now been established to relate the concentration, c, temperature, T, and deformation rate, ε, by a reduced deformation rate variable to bring all ηT together. Furthermore, ηT has been compared with the steady and dynamic shear data. The onset of high ηT occurs in the vicinity of the onset of non-Newtonian viscosity observed in a simple shear flow experiment. Finally, the asymtotic solution of Hassager’s kinetic theory of a bead-rod model for macromolecular solutions2 has been compared with experimental data. It indicates that ηT depends strongly on the molecular weight, and the higher the molecular weight, the more sensitive the tensile viscosity in terms of ε.


Deformation Rate Master Curve Normal Stress Difference Extensional Flow Dilute Polymer Solution 
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  1. 1.
    S. T. J. Peng and R. F. Landel, J. Appl. Phys. Vol. 47, No. 10, p. 4255, 1976.ADSCrossRefGoogle Scholar
  2. 2.
    D. Hassager, J. Chem. Phys., Vol. 60, No. 5, p. 2111, 1974.ADSCrossRefGoogle Scholar
  3. 3.
    F. A. Kanel, Ph.D. Thesis (University of Delaware).Google Scholar
  4. 4.
    J. D. Ferry (Viscoelastic Properties of Polymer,” p. 209, John Wiley, N.Y. 1961.Google Scholar

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • S. T. J. Peng
    • 1
  • R. F. Landel
    • 1
  1. 1.Jet Propulsion LaboratoryCalifornia Institute of TechnologyPasadenaUSA

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