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

M. G. Forest, R. Zhou & Q. Wang

DOI:

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

Published online: 2007-04

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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.

  • Keywords

Navier-Stokes Smoluchowski equation numerical methods nano-rods suspension flow

  • AMS Subject Headings

65N06 65N40 76M20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-478, author = {M. G. Forest, R. Zhou and Q. Wang}, title = {Nano-rod Suspension Flows: a 2D Smoluchowski-Navier-Stokes Solver}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {3-4}, pages = {478--488}, 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. }, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/873.html} }
TY - JOUR T1 - Nano-rod Suspension Flows: a 2D Smoluchowski-Navier-Stokes Solver AU - M. G. Forest, R. Zhou & Q. Wang JO - International Journal of Numerical Analysis and Modeling VL - 3-4 SP - 478 EP - 488 PY - 2007 DA - 2007/04 SN - 4 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/ijnam/873.html KW - Navier-Stokes KW - Smoluchowski equation KW - numerical methods KW - nano-rods KW - suspension flow AB - 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.
M. G. Forest, R. Zhou & Q. Wang. (1970). Nano-rod Suspension Flows: a 2D Smoluchowski-Navier-Stokes Solver. International Journal of Numerical Analysis and Modeling. 4 (3-4). 478-488. doi:
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