Direct numerical simulation of pattern formation in a rotating suspension of non-Brownian settling particles in a fully filled cylinder

Authors:
Tsorng-Whay Pan;Roland Glowinski;Suchung Hou
Affiliations:
Department of Mathematics, University of Houston, Houston, TX 77204, USA;Department of Mathematics, University of Houston, Houston, TX 77204, USA;Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan, ROC
Venue:
Computers and Structures
Year:
2007

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Abstract

In this article we have investigated the pattern formation of a rotating suspension of non-Brownian settling particles in incompressible Newtonian viscous fluids by direct numerical simulation. These phenomena are modeled by the Navier-Stokes equations coupled to the Euler-Newton equations describing rigid-solid motions. The numerical methodology relies on the combination of a finite element approximation with operator-splitting and Lagrange multiplier based fictitious domain methods allowing the flow calculations to take place in a fixed rectangular parallelepiped. We found the particles attract and expel each other all the time when rotating in a horizontal cylinder and the formation of clusters depends on the rotating speed.