Line energy and the relation between advancing, receding, and Young contact angles

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402 Scopus citations

Abstract

The line energy associated with the triple phase contact line is a function of local surface defects (chemical and topographical); however, it can still be calculated from the advancing and receding contact angles to which those defects give rise. In this study an expression for the line energy associated with the triple phase contact line is developed. The expression relates the line energy to the drop volume, the interfacial energies, and the actual contact angle (be it advancing, receding, or in between). From the expression we can back calculate the equilibrium Young contact angle, θ 0, as a function of the maximal advancing, θ A, and minimal receding, θ R, contact angles. To keep a certain maximal hysteresis between advancing and receding angles, different line energies are required depending on the three interfacial energies and the drop's volume V. We learn from the obtained expressions that the hysteresis is determined by some dimensionless parameter, script K sign, which is some normalized line energy. The value of script K sign required to keep a constant hysteresis (θ A - θ R) rises to infinity as we get closer to θ 0 = 90°.

Original languageEnglish
Pages (from-to)7659-7664
Number of pages6
JournalLangmuir
Volume20
Issue number18
DOIs
StatePublished - 31 Aug 2004
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science (all)
  • Condensed Matter Physics
  • Surfaces and Interfaces
  • Spectroscopy
  • Electrochemistry

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