Spreading of a thin film with suction or blowing including surface tension effects

E. Momoniat; D. P. Mason

doi:10.1016/j.camwa.2006.02.019

Spreading of a thin film with suction or blowing including surface tension effects

E. Momoniat, D. P. Mason

University of the Witwatersrand

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

4 Citations (Scopus)

Abstract

In this paper we derive a fourth-order nonlinear partial differential equation modelling the effects of suction/blowing on the evolution of the free surface of a thin viscous film on a porous base. Gravity and surface tension effects are included. The suction/blowing is modelled as an arbitrary function v_n (t, r). The Lie group classification method is used to determine a first-order quasi-linear partial differential equation satisfied by v_n (t, r). This equation is coupled with the model equation and solved numerically. New results are obtained which show how the free surface and the apparent contact angle vary with suction/blowing.

Original language	English
Pages (from-to)	198-208
Number of pages	11
Journal	Computers and Mathematics with Applications
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.camwa.2006.02.019
Publication status	Published - Jan 2007
Externally published	Yes

Keywords

Lie point symmetries
Suction or blowing
Surface tension
Thin film

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2006.02.019

Cite this

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abstract = "In this paper we derive a fourth-order nonlinear partial differential equation modelling the effects of suction/blowing on the evolution of the free surface of a thin viscous film on a porous base. Gravity and surface tension effects are included. The suction/blowing is modelled as an arbitrary function vn (t, r). The Lie group classification method is used to determine a first-order quasi-linear partial differential equation satisfied by vn (t, r). This equation is coupled with the model equation and solved numerically. New results are obtained which show how the free surface and the apparent contact angle vary with suction/blowing.",

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AB - In this paper we derive a fourth-order nonlinear partial differential equation modelling the effects of suction/blowing on the evolution of the free surface of a thin viscous film on a porous base. Gravity and surface tension effects are included. The suction/blowing is modelled as an arbitrary function vn (t, r). The Lie group classification method is used to determine a first-order quasi-linear partial differential equation satisfied by vn (t, r). This equation is coupled with the model equation and solved numerically. New results are obtained which show how the free surface and the apparent contact angle vary with suction/blowing.

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KW - Surface tension

KW - Thin film

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ER -

Spreading of a thin film with suction or blowing including surface tension effects

Abstract

Keywords

ASJC Scopus subject areas

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