Effective and microscopic contact angles in thin film dynamics

Michiel Bertsch; Roberta Dal Passo; Stephen H. Davis; Lorenzo Giacomelli

doi:10.1017/S0956792599004015

Effective and microscopic contact angles in thin film dynamics

Michiel Bertsch^*, Roberta Dal Passo, Stephen H. Davis, Lorenzo Giacomelli

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We introduce and analyse a class of quasi-seif-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.

Original language	English (US)
Pages (from-to)	181-201
Number of pages	21
Journal	European Journal of Applied Mathematics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1017/S0956792599004015
State	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1017/S0956792599004015

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title = "Effective and microscopic contact angles in thin film dynamics",

abstract = "We introduce and analyse a class of quasi-seif-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.",

author = "Michiel Bertsch and {Dal Passo}, Roberta and Davis, {Stephen H.} and Lorenzo Giacomelli",

year = "2000",

doi = "10.1017/S0956792599004015",

language = "English (US)",

volume = "11",

pages = "181--201",

journal = "European Journal of Applied Mathematics",

issn = "0956-7925",

publisher = "Cambridge University Press",

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TY - JOUR

T1 - Effective and microscopic contact angles in thin film dynamics

AU - Bertsch, Michiel

AU - Dal Passo, Roberta

AU - Davis, Stephen H.

AU - Giacomelli, Lorenzo

PY - 2000

Y1 - 2000

N2 - We introduce and analyse a class of quasi-seif-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.

AB - We introduce and analyse a class of quasi-seif-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.

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U2 - 10.1017/S0956792599004015

DO - 10.1017/S0956792599004015

M3 - Article

AN - SCOPUS:0347998540

SN - 0956-7925

VL - 11

SP - 181

EP - 201

JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

IS - 2

ER -

Effective and microscopic contact angles in thin film dynamics

Abstract

ASJC Scopus subject areas

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