Adhesive contact of a membrane with a hemispherical indenter: Theoretical analysis and model liquid system

Rebecca E. Webber, Wendy Da Wei Cheng, Kenneth R. Shull*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The axisymmetric Laplace equation is solved numerically to extract contact-angle data for a flat liquid/vapor interface contacting a submerged hemispherical solid. The liquid/vapor interface is treated as a membrane, with a membrane tension equal to the surface energy of the liquid. By measuring the vertical displacement of the membrane and the projected contact area the membrane makes with the hemisphere, the contact angle and correspondingly the driving force for motion of the contact line can be measured. We show that characteristic receding and advancing contact angles can be obtained by measuring the contact radii formed upon initial contact between the interface and hemisphere and final contact just prior to detachment of the interface, respectively. Use of the technique is illustrated with a model experiment involving the contact of an air/water interface with a poly(methyl methacrylate) surface.

Original languageEnglish (US)
Pages (from-to)427-446
Number of pages20
JournalJournal of Adhesion
Volume82
Issue number5
DOIs
StatePublished - May 2006

Keywords

  • Adhesion
  • Dynamic contact angles
  • Laplace equation
  • Wetting

ASJC Scopus subject areas

  • Chemistry(all)
  • Mechanics of Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry

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