Scaling of singular structures in extensional flow of dilute polymer solutions
arXiv:0901.4868 · doi:10.1016/j.jnnfm.2007.12.009
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.
16 pages, 8 figures
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