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A third-order differential equation arising in thin-film flows and relevant to Tanner's Law

✍ Scribed by B.R. Duffy; S.K. Wilson

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 302 KB
Volume: 10
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(97)00036-0

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✦ Synopsis

In this paper, we describe for the first time the properties of the general solution to the third-order ordinary differential equation ym = y-2 which is important in the study of thin viscous films with surface tension. This solution is then used to solve exactly a problem relevant to Tanner's Law for the speed of a moving three-phase contact line.

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Analysis of Adomian decomposition applied to a third-order ordinary differential equation from thin film flow

✍ E. Momoniat; T.A. Selway; K. Jina 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 248 KB

The Adomian decomposition method is applied to the third-order ordinary differential equation y = y -k obtained by considering a travelling wave solution admitted by a generalized thin film equation or for thin film flow down a vertical wall. The Adomian decomposition method leads to a power series