SLOW FLOW PAST A SWARM OF CYLINDRICAL PARTICLES WITH SURFACTANT LAYER COATING

The present study examines the analytical solution of slow viscous flow past a swarm of cylindrical particles, where each particle consists of a solid core covered by a liquid shell coated with monomolecular layer of the surfactant layer using cell model. We have assumed that each particle is enclosed by a hypothetical cell. The boundary conditions of Happel’s, Kuwabara’s, Kvashin’s and Cunningham (usually referred to as Mehta-Morse’s) are considered on hypothetical cell. The effects of surfactants are accommodated by considering the Scriven’s boundary conditions at the shell involving surface tension, surface shear viscosity and surface dilatational viscosity. The drag force on the cylindrical particle in a cell is evaluated. The variation of drag force with various parameters is graphically presented. Keywords: cell model, surface dilatational viscosity, surface shear viscosity and surface tension.

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