Cell Model for Slow Viscous Flow past Spherical Particles with Surfactant Layer Coating


Department of Mathematics and Astronomy, Lucknow University, Lucknow, India-226007


Creeping flow through a swarm of spherical particles, where each particle consists of a solid core covered by a liquid shell coated with monomolecular layer of surfactant layer, is studied using the cell model technique. The analytical solution of the problem for four models: Happel’s, Kuwabara’s, Kvashin’s and Cunningham’s (usually referred to as Mehta-Morse’s) is derived. The drag force acting on each particle in the cell is evaluated for the four models. In limiting cases the drag force reduces to earlier analytical results. Results are discussed and presented in graphical forms.