Closed-analytical solutions for the shape of two dimensional droplets under partially-wetting conditions

GOMBA J. M.; HOMSY, G. M.; PERAZZO, CARLOS ALBERTO; MAC INTYRE J. R.

Vancouver

Congreso; Complex Fluids and Flows in Industry and Nature II; 2013

Pacific Institute for the Mathematical Sciences

Charla invitada: The talk is about a work I started few years ago in collaboration with ´Bud´ Homsy and continued with Carlos Perazzo and Jonatan Mac Intyre. We have found closed-analytical solutions for the shape of a two-dimensional droplets in equilibrium with a surrounding nanometric film. The modeling includes the effects of gravity, surface tension and molecular forces arising between the liquid and the substrate. We have found novel expressions that relate microscopic and nanoscopic aspects, such as the strength of the molecular forces and the thickness of the nanometric precursor film, with macroscopic quantities, e. g., the cross sectional area, the height and the width of the droplet. We also compare the results of using different models for the disjoining-conjoining pressure term.