Nanotech 2011

Multiscale Rheology: New Results for the Kinetic Scale

B. Kallemov, G. H. Miller, S. Mitran and D. Trebotich
Lawrence Berkeley National Laboratory, US

Keywords: multiscale modeling, micro-macro model

Abstract:

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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