Multiscale Rheology: New Results for the Kinetic Scale

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We present several new results on the kinetic, i.e., mesoscale, level of a continuum-kinetic-microscopic approach to multiscale modeling of complex fluids. We choose the microscopic level as Kramers’ bead-rod model for polymers, which we describe as a system of stochastic differential equations with an implicit constraint formulation. The associated Fokker-Planck equation is then derived, and adiabatic elimination removes the fast momentum coordinates. Approached in this way, a comparatively simple result is obtained consisting of drift but no diffusion terms. We demonstrate computation of viscoelastic stress divergence using this multiscale approach.

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Journal: TechConnect Briefs
Volume: 2, Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational
Published: June 13, 2011
Pages: 575 - 578
Industry sector: Advanced Materials & Manufacturing
Topics: Informatics, Modeling & Simulation
ISBN: 978-1-4398-7139-3