Some solutions of a cell model for a suspension of spherical vesicles in osmophoresis.
The problem of the osmophoretic motion of a homogeneous suspension of identical spherical vesicles is analyzed in the limit of negligible Reynolds and Peclet numbers. The effects of interaction among individual vesicles are taken into explicit account by employing a unit cell model which is known to provide good predictions for the sedimentation of monodisperse suspensions of spherical particles. The appropriate equations of conservation of mass and momentum are solved for each cell, in which a spherical vesicle is envisaged to be surrounded by a concentric shell of suspending fluid, and the osmophoretic velocity of the vesicle is calculated for various cases. Analytical expressions of this mean vesicle velocity are obtained in closed form as functions of the volume fraction of the vesicles. Comparisons between the approximate ensemble-averaged osmophoretic velocity of a test vesicle in a dilute suspension and our cell-model results are made.
Tu
HJ
Department of Chemical Engineering, National Taiwan University, 106-17, Taipei, Taiwan, ROC
Keh
HJ