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000017823 084__ $$2WoS$$aPhysics, Atomic, Molecular & Chemical
000017823 1001_ $$0P:(DE-HGF)0$$aBriels, W.J.$$b0
000017823 245__ $$aConstitutive equations for the flow behavior of entangled polymeric systems: Application to star polymers
000017823 260__ $$aMelville, NY$$bAmerican Institute of Physics$$c2011
000017823 300__ $$a124901
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000017823 440_0 $$03145$$aJournal of Chemical Physics$$v134$$x0021-9606$$y12
000017823 500__ $$aWe are grateful to J. Roovers for providing the star polymers used and to E. Stiakakis for assistance with characterization. This work was supported in part by the EU, NoE Soft-Comp (Grant No. NMP3-CT-2004-502235) and FP7 NanoDirect (Contract No. CP-FP-213948-2).
000017823 520__ $$aA semimicroscopic derivation is presented of equations of motion for the density and the flow velocity of concentrated systems of entangled polymers. The essential ingredient is the transient force that results from perturbations of overlapping polymers due to flow. A Smoluchowski equation is derived that includes these transient forces. From this, an equation of motion for the polymer number density is obtained, in which body forces couple the evolution of the polymer density to the local velocity field. Using a semimicroscopic Ansatz for the dynamics of the number of entanglements between overlapping polymers, and for the perturbations of the pair-correlation function due to flow, body forces are calculated for nonuniform systems where the density as well as the shear rate varies with position. Explicit expressions are derived for the shear viscosity and normal forces, as well as for nonlocal contributions to the body force, such as the shear-curvature viscosity. A contribution to the equation of motion for the density is found that describes mass transport due to spatial variation of the shear rate. The two coupled equations of motion for the density and flow velocity predict flow instabilities that will be discussed in more detail in a forthcoming publication.
000017823 536__ $$0G:(DE-Juel1)FUEK505$$2G:(DE-HGF)$$aBioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung$$cP45$$x0
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000017823 650_2 $$2MeSH$$aHydrodynamics
000017823 650_2 $$2MeSH$$aModels, Chemical
000017823 650_2 $$2MeSH$$aMotion
000017823 650_2 $$2MeSH$$aPolymers: chemistry
000017823 650_2 $$2MeSH$$aViscosity
000017823 650_7 $$00$$2NLM Chemicals$$aPolymers
000017823 650_7 $$2WoSType$$aJ
000017823 7001_ $$0P:(DE-HGF)0$$aVlassopoulos, D.$$b1
000017823 7001_ $$0P:(DE-Juel1)130749$$aKang, K.$$b2$$uFZJ
000017823 7001_ $$0P:(DE-Juel1)130616$$aDhont, J.K.G.$$b3$$uFZJ
000017823 773__ $$0PERI:(DE-600)1473050-9$$a10.1063/1.3560616$$gVol. 134, p. 124901$$p124901$$q134<124901$$tThe @journal of chemical physics$$v134$$x0021-9606$$y2011
000017823 8567_ $$uhttp://dx.doi.org/10.1063/1.3560616
000017823 8564_ $$uhttps://juser.fz-juelich.de/record/17823/files/FZJ-17823.pdf$$yPublished under German "Allianz" Licensing conditions on 2011-03-22. Available in OpenAccess from 2011-03-22$$zPublished final document.
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