Volume 4, Issue 3-4
Nano-rod Suspension Flows: a 2D Smoluchowski-Navier-Stokes Solver

M. G. Forest ,  R. Zhou and Q. Wang

Int. J. Numer. Anal. Mod., 4 (2007), pp. 478-488

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  • Abstract

We present a numerical algorithm for nano-rod suspension flows, and provide benchmark simulations of a plane Couette cell experiment. The system consists of a Smolouchowski equation for the orientational distribution function of the nano-rods together with the Navier-Stokes equation for the solvent with an orientation-dependent stress. The rigid rods interact through nonlocal excluded-volume and distortional elasticity potentials and hydrodynamic interactions. The algorithm resolves full orientational configuration space (a spherical of lines discretization), and time (spectral deferred corrections), and employs a velocity-pressure formulation of the Navier-Stokes equation. This method extends our previous solver [25] from 1D to 2D in physical space.

  • History

Published online: 2007-04

  • AMS Subject Headings

65N06, 65N40, 76M20

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