Modeling and numerical simulations of Brownian rodlike particles with anisotropic translational diffusion
Résumé
A new kinetic macromodel based on moments of the probability distribution function is proposed to investigate the flow of rodlike Brownian particle suspensions. The rods concentration-orientation coupling is taken into account. A numerical study is presented for rods through the planar channel, with and without introducing a circular obstacle which develops a nonhomogeneous flow. To verify this macromodel, the results are compared with the solution of the associated Fokker-Planck equation taking into consideration an anisotropic translational diffusion tensor. This tensor depends on the local orientation of the rod. Low (smaller than 10 3) Brownian translational Peclet number causes rod migrations across the flow streamlines.
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