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The nematic dumbbell model

Journal of Rheology, 1992
Flexible polymeric chains (Kuhn chains) made up of nematogenic moieties are considered here. The simplest approach to the dynamics of such a system, in both the isotropic and the nematic phases, is that of modeling the chain as an elastic dumbbell where the ‘‘spring’’ law also accounts for the nematic interaction.
MAFFETTONE, PIER LUCA, MARRUCCI G.
openaire   +2 more sources

Well-Posedness for the Dumbbell Model of Polymeric Fluids

Communications in Mathematical Physics, 2004
Denote by \(u\) and \(p\) the velocity and pressure of the fluid, and \(Q\) the configuration of the spring, and hence the dumbbell, then \(Q\) obeys the following equation: \[ {\partial Q\over\partial t}+ (u\cdot\nabla) Q- (\nabla u)^TQ= -F(Q)+\dot w(t),\tag{1} \] where \(\dot w(t)\) is Gaussian white noise in time.
E, Weinan, Li, Tiejun, Zhang, Pingwen
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Dumbbell model for the classical radiation reaction

American Journal of Physics, 1978
In his treatise on electron theory, Lorentz showed that the classical radiation reaction is attributable to the breakdown of Newton’s Third Law within the structure of an accelerating charge. But Lorentz’s calculation, based on a spherical model, is so difficult as to obscure the underlying physical principle, and requires that the charge be ...
David J. Griffiths, Ellen W. Szeto
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Synthesis and Characterization of Model Dumbbell Polymers

Macromolecules, 2007
High mol. wt. dumbbell shaped polymers were prepd. by atom transfer radical polymn. (ATRP) to grow branches from repeat units of end blocks of a sym. triblock copolymer. The triblock copolymer itself was prepd. by polymer-polymer coupling of a com.
Rajan, M   +8 more
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Local Existence for the FENE-Dumbbell Model of Polymeric Fluids

Archive for Rational Mechanics and Analysis, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Hui, Zhang, Pingwen
openaire   +1 more source

A detailed comparison of various FENE dumbbell models

Journal of Non-Newtonian Fluid Mechanics, 1997
Abstract The rheological behaviour of dilute solutions of finitely extensible non-linear elastic (FENE) dumbbells in both steady state and transient shear and simple elongational flow is investigated. Three dumbbell models are compared: the original FENE model with the Warner spring force, which is treated by brownian dynamics simulations, and the ...
Markus Herrchen   +1 more
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Dynamic analysis on an asymmetric spatial dumbbell-type model

Advances in Space Research
Weipeng Hu   +4 more
openaire   +3 more sources

Nonlinear dumbbell model for flexible polymers: dynamical phenomena

Journal of Non-Newtonian Fluid Mechanics, 1987
Abstract We study the stress growth upon the inception of steady shear and steady elongational flow for a nonlinear dumbbell model for flexible macromolecules suspended in a Newtonian fluid. The internal force law is made nonlinear by adding a cubic term to the Hookean force law.
P. Biller   +3 more
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FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations

Multiscale Modeling & Simulation, 2005
Summary: We present some analytical and numerical studies on the finite extendible nonlinear elasticity (FENE) model of polymeric fluids and its several moment-closure approximations. The well-posedness of the FENE model is established under the influence of a steady flow field.
Qiang Du 0001, Chun Liu 0009, Peng Yu
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Internal viscosity dumbbell model with a Gaussian approximation

Journal of Rheology, 1993
A noninertial Hookean dumbbell with internal viscosity (or internal friction) is studied in transient and steady shear flows by use of a Gaussian closure on the second moment equation of the configuration of the dumbbell. The model predicts shear thinning for the viscosity and first normal stress coefficients for all values of the relative internal ...
openaire   +1 more source

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