New solutions for surface tension driven spreading of a thin film

E. Momoniat; T. G. Myers; S. Abelman

doi:10.1016/j.ijnonlinmec.2004.07.017

New solutions for surface tension driven spreading of a thin film

E. Momoniat, T. G. Myers, S. Abelman

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

7 Citations (Scopus)

Abstract

The standard fourth-order non-linear PDE modelling the flow of thin fluid film subject to surface tension is studied. The Lie group method is used to reduce the model equation from a fourth-order PDE to a fourth-order ODE. Analytical solutions are obtained for certain cases. Where analytical progress cannot be made, we determine numerical solutions.

Original language	English
Pages (from-to)	523-529
Number of pages	7
Journal	International Journal of Non-Linear Mechanics
Volume	40
Issue number	4
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2004.07.017
Publication status	Published - May 2005
Externally published	Yes

Keywords

Lie group method
Surface tension
Thin film
Travelling waves

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijnonlinmec.2004.07.017

Cite this

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title = "New solutions for surface tension driven spreading of a thin film",

abstract = "The standard fourth-order non-linear PDE modelling the flow of thin fluid film subject to surface tension is studied. The Lie group method is used to reduce the model equation from a fourth-order PDE to a fourth-order ODE. Analytical solutions are obtained for certain cases. Where analytical progress cannot be made, we determine numerical solutions.",

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author = "E. Momoniat and Myers, \{T. G.\} and S. Abelman",

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AU - Momoniat, E.

AU - Myers, T. G.

AU - Abelman, S.

PY - 2005/5

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N2 - The standard fourth-order non-linear PDE modelling the flow of thin fluid film subject to surface tension is studied. The Lie group method is used to reduce the model equation from a fourth-order PDE to a fourth-order ODE. Analytical solutions are obtained for certain cases. Where analytical progress cannot be made, we determine numerical solutions.

AB - The standard fourth-order non-linear PDE modelling the flow of thin fluid film subject to surface tension is studied. The Lie group method is used to reduce the model equation from a fourth-order PDE to a fourth-order ODE. Analytical solutions are obtained for certain cases. Where analytical progress cannot be made, we determine numerical solutions.

KW - Lie group method

KW - Surface tension

KW - Thin film

KW - Travelling waves

UR - https://www.scopus.com/pages/publications/9544231687

U2 - 10.1016/j.ijnonlinmec.2004.07.017

DO - 10.1016/j.ijnonlinmec.2004.07.017

M3 - Article

AN - SCOPUS:9544231687

SN - 0020-7462

VL - 40

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EP - 529

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 4

ER -

New solutions for surface tension driven spreading of a thin film

Abstract

Keywords

ASJC Scopus subject areas

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