Finite time blow-up in the non-stretching Rolie Poly model: examples, interpretation, and corrections.
ORAL
Abstract
The non-stretching approximation of polymer rheology simplifies a constitutive equation but fundamentally changes its behavior in fast flows, and the circumstances under which fast flows emerge cannot always be predicted a-priori. In this paper, we consider two simple flows for which shear rates are bounded in the original RP model but diverge to infinity in finite time for the non-stretching RP model. The disparity between the full and non-stretching models can be resolved by extending the non-stretching approximation to second order in accuracy.
–
Publication: Vickie Chen, Brandon Wang, and Joseph D. Peterson, "Pathological predictions of the non-stretching approximation for entangled polymer rheology: finite-time blowup and the need for regularization", in prepration
Presenters
-
Joseph D Peterson
University of California, Los Angeles
Authors
-
Vickie Chen
University of California Los Angeles, Department of Chemical and Biomolecular Engineering
-
Brandon Wang
University of California Los Angeles, Department of Chemical and Biomolecular Engineering
-
Joseph D Peterson
University of California, Los Angeles