We introduce and analyse a class of quasi-self-similar solutions of the thin film equation to describe the dynamics of expanding liquid films on a solid surface. Using these solutions as intermediate asymptotics profiles, we obtain a quantitative expression for the shape of the film and a relation between the speed of the contact line and the macroscopic and microscopic contact angles.
Effective and microscopic contact angle in thin film dynamics / M., Bertsch; R., DAL PASSO; S. H., Davis; Giacomelli, Lorenzo. - In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS. - ISSN 0956-7925. - STAMPA. - 11:(2000), pp. 181-201. [10.1017/S0956792599004015]
Effective and microscopic contact angle in thin film dynamics
GIACOMELLI, Lorenzo
2000
Abstract
We introduce and analyse a class of quasi-self-similar solutions of the thin film equation to describe the dynamics of expanding liquid films on a solid surface. Using these solutions as intermediate asymptotics profiles, we obtain a quantitative expression for the shape of the film and a relation between the speed of the contact line and the macroscopic and microscopic contact angles.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
