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The universal limit in dynamics of dilute polymeric solutions

Author

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  • Zmievski, Vladimir B.
  • Karlin, Iliya V.
  • Deville, Michel

Abstract

The method of invariant manifold is developed for a derivation of reduced description in kinetic equations of dilute polymeric solutions. It is demonstrated that this reduced description becomes universal in the limit of small Deborah and Weissenberg numbers, and it is represented by the (revised) Oldroyd 8 constants constitutive equation for the polymeric stress tensor. Coefficients of this constitutive equation are expressed in terms of the microscopic parameters. A systematic procedure of corrections to the revised Oldroyd 8 constants equations is developed. Results are tested with simple flows.

Suggested Citation

  • Zmievski, Vladimir B. & Karlin, Iliya V. & Deville, Michel, 2000. "The universal limit in dynamics of dilute polymeric solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(1), pages 152-177.
    • Handle: RePEc:eee:phsmap:v:275:y:2000:i:1:p:152-177
    DOI: 10.1016/S0378-4371(99)00404-5
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    Cited by:

    1. Gorban, Alexander N. & Karlin, Iliya V. & Zinovyev, Andrei Yu., 2004. "Invariant grids for reaction kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 106-154.
    2. Ilg, Patrick & Karlin, Iliya V. & Kröger, Martin & Öttinger, Hans Christian, 2003. "Canonical distribution functions in polymer dynamics. (II). Liquid-crystalline polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 134-150.

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