NEW ANALYTICAL SOLUTIONS FOR STATIC TWO-DIMENSIONAL DROPLETS UNDER THE EFFECT OF LONG AND SHORT-RANGE MOLECULAR FORCES

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

JOURNAL OF ENGINEERING MATHEMATICS

SPRINGER

Año: 2016 vol. 101 p. 55 - 69

0022-0833

We report new analytical solutions for the thickness profile of partiallywetting two-dimensional droplets. The model includes the effects of capillarity and both short- and long-range molecular forces. We analyze the dependence of themaximumthickness, the contact angle, and the cross-sectional area on the height of the nanometric precursor film that surrounds the droplet. We found asymptotic expressions for the thickness profile and for the contact angles for large and small droplets. The results are compared to those obtained previously for polar liquids. The analytical solutions found here are useful to assess the validity of the hypothesis and the semi-analytical solutions proposed in the literature. In addition, these solutions enable the inference of information about the molecular potential from the measured steady profiles.