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Summary: Computational studies of the shear flow
behaviour of a model for nematic liquid
crystalline polymers
D. H. Klein
C. Garcia-Cervera
H. D. Ceniceros
L. G. Leal§
March 17, 2005
Abstract
We present an accurate and efficient numerical method to the solve
the microstructure-flow problem that constitutes the coupling of the
molecular-based Doi-Marrucci-Greco (DMG) model to the Cauchy
equation of motion and continuity equation. We also provide a general
introduction to the problem of the flow of complex fluids. Preliminary
investigations of the predictive capabilities of the DMG model show
that with increasing shear rate, in accordance with both experimental
observations and other theoretical predictions, the model was found to
exhibit three flow regimes: steady linear shear flow at low shear rate,
steady roll cells at intermediate shear rates, and irregular flow and
orientation patterns at high shear rates. Given sufficiently high shear
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