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

E. Momoniat, D. P. Mason

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)198-208
Number of pages11
JournalComputers and Mathematics with Applications
Issue number2
Publication statusPublished - Jan 2007
Externally publishedYes


  • 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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