Nanotech 2011 Vol. 2
Nanotech 2011 Vol. 2
Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational

Nano & Micro: Computational Methods, Simulation & Software Tools Chapter 9

Multiscale Rheology: New Results for the Kinetic Scale

Authors: B. Kallemov, G. H. Miller, S. Mitran, and D. Trebotich

Affilation: Lawrence Berkeley National Laboratory, United States

Pages: 575 - 578

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.

Multiscale Rheology: New Results for the Kinetic Scale

ISBN: 978-1-4398-7139-3
Pages: 854
Hardcopy: $199.95