TY  - EJOU
AU  - Hedhili, L.  
AU  - Sellier, A.  
AU  - Elasmi, L.  
AU  - Feuillebois, F.  

TI  - Motion of Small Solid Particles in a Viscous Fluid Enclosed in a Cavity
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2011
VL  - 73
IS  - 2
SN  - 1526-1506

AB  - The motion of a solid particle embedded in a viscous fluid in a closed container requires a precise account of wall effects when in creeping flow. The boundary integral method, which amounts to solving a Fredholm integral equation for the stress on the particle and walls, is used here. The accuracy of the method is improved by using curvilinear six-node triangular boundary elements, the size of which is specially adapted to the particle shape and position with respect to walls. The method is applied to resolve the case of a moving particle in a parallelepiped container. It is validated by comparing with earlier analytical results for a sphere interacting with two parallel or perpendicular walls and with numerical results for a sphere in the center of a cubic container. Results are then provided for a spherical and an ellipsoidal particle, both either with imposed motion or settling in a cubic container.
KW  - Stokes flow
KW  -  wall-particle interactions
KW  -  cubic cavity
KW  -  sedimentation
KW  -  Green tensor
KW  -  boundary-integral equations

DO  - 10.3970/cmes.2011.073.137