Multiscale Rheology: New Results for the Kinetic Scale

	Nanotech 2011 Vol. 2 Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational Chapter 9: Nano & Micro: Computational Methods, Simulation & Software Tools
	Multiscale Rheology: New Results for the Kinetic Scale
Authors:	B. Kallemov, G. H. Miller, S. Mitran, and D. Trebotich
Affilation:	Lawrence Berkeley National Laboratory, US
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.
ISBN:	978-1-4398-7139-3
Pages:	854
Hardcopy:	$199.95

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