English

Scaling of singular structures in extensional flow of dilute polymer solutions

Fluid Dynamics 2009-02-02 v1

Abstract

Recently singular solutions have been discovered in purely elongational flows of visco-elastic fluids. We surmise that these solutions are the mathematical structures underlying the so-called birefringent strands seen experimentally. In order to facilitate future experimental studies of these we derive a number of asymptotic results for the scaling of the width and extension of the near-singular structures in the FENE-P model for polymers of finite extensibility.

Keywords

Cite

@article{arxiv.0901.4868,
  title  = {Scaling of singular structures in extensional flow of dilute polymer solutions},
  author = {Paul Becherer and Alexander N. Morozov and Wim van Saarloos},
  journal= {arXiv preprint arXiv:0901.4868},
  year   = {2009}
}

Comments

16 pages, 8 figures