A new solution for the rotation-driven spreading of a thin fluid film

E. Momoniat, T. G. Myers

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Lie groups are used to solve the equation governing the flow of a thin liquid film subject to centrifugal spreading and viscous resistance. A new implicit solution is found. It is shown how this relates to the previous known solutions for the spreading of an initially flat film, the steady state and a separable solution. New permissible forms for the film evolution are also studied, including solutions exhibiting finite time blow-up. Near the contact line, where the film height tends to zero, an approximate explicit solution is obtained which may be used to describe a film with any size contact angle.

Original languageEnglish
Pages (from-to)192-199
Number of pages8
JournalInternational Journal of Non-Linear Mechanics
Volume41
Issue number2
DOIs
Publication statusPublished - Mar 2006
Externally publishedYes

Keywords

  • Lie groups
  • Rotation-driven spreading
  • Thin film

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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