Gaussian approximation for finitely extensible bead-spring chains with hydrodynamic interaction
نویسندگان
چکیده
منابع مشابه
Existence and Equilibration of Global Weak Solutions to Kinetic Models for Dilute Polymers I: Finitely Extensible Nonlinear Bead-spring Chains
We show the existence of global-in-time weak solutions to a general class of coupled FENE-type bead-spring chain models that arise from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The class of models involves the unsteady incompressible Navier–Stokes equations in a bounded domain in Rd, d = 2 or 3, for the velocity and the pressure of the flui...
متن کاملExistence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers
We show the existence of global-in-time weak solutions to a general class of coupled FENEtype bead-spring chain models that arise from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The class of models involves the unsteady incompressible Navier–Stokes equations in a bounded domain in R, d = 2 or 3, for the velocity and the pressure of the fluid,...
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The calculation of hydrodynamic properties of macromolecules in terms of bead models requires an adequate description of the hydrodynamic interaction between the spherical elements. For this purpose, the original or modified Oseen tensor are customarily used, although it has been shown that this simple description may lead to erroneous results, particularly for rotational coefficients. In this ...
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We have analyzed the response of bead-spring chain models in strong elongational flow as the amount of polymer represented by a spring s changed. We examined the longest relaxation time of the chains which is used to quantify the strength of the flow in terms of a Weissenberg umber. A chain with linear springs can be used to predict the longest relaxation time of the nonlinear chains if the lin...
متن کاملOn the coarse-graining of polymers into bead-spring chains
We present a study of the coarse-graining of polymers into bead-spring chains using statistical mechanics. The force–extension behavior is examined at different levels of coarse-graining. A direct result of the springs being decoupled is that the force–extension behavior depends only on the number of flexibility lengths (e.g. persistence or Kuhn lengths) represented by each spring. This dimensi...
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ژورنال
عنوان ژورنال: Journal of Rheology
سال: 2006
ISSN: 0148-6055,1520-8516
DOI: 10.1122/1.2206715