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://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/873.html
KW - Navier-Stokes, Smoluchowski equation, numerical methods, nano-rods, suspension flow.
AB - <p style="text-align: justify;">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 Smoluchowski 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
harmonic Galerkin expansion), two dimensional physical
space (method 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.</p>