J. Phys. IV France 11 (2001) Pr6-261-Pr6-268
The wetting problem of fluids on solid surfaces: Dynamics of lines and contact angle hysteresisH. Gouin
Laboratoire de Modélisation en Mécanique et Thermodynamique, EA 2596, Université d'Aix Marseille, Case 322, avenue Escadrille Normandie-Niemen, 13397 Marseille cedex 20, France
In 1805, Young was the first who introduced an expression for contact angle in static, but today, the motion of the contact-line formed at the intersection of two immiscible fluids and a solid is still subject to dispute. By means of the new physical concept of line viscosity, the equations of motions and boundary conditions for fluids in contact on a solid surface together with interface and contact-line are revisited. A new Young-Dupré equation for the dynamic contact angle is deduced. The interfacial energies between fluids and solid take into account the chemical heterogeneities and the solid surface roughness. A scaling analysis of the microscopic law associated with the Young-Dupré dynamic equation allows us to obtain a new macroscopic equation for the motion of the contact-line. Here we show that our theoretical predictions fit perfectly together with the contact angle hysteresis phenomenon and the experimentally well-known results expressing the dependence of the dynamic contact angle on the celerity of the contact-line. We additively get a quantitative explanation for the maximum speed of wetting (and dewetting).
© EDP Sciences 2001