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.
2000
Applied Mathematics; Partial Differential Equations; Thin-film Equations; Scaling laws
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/102734
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