4.4 Article

A generalized Young's equation for contact angles of droplets on homogeneous and rough substrates

Journal

JOURNAL OF ADHESION SCIENCE AND TECHNOLOGY
Volume 28, Issue 2, Pages 161-170

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/01694243.2013.833401

Keywords

contact angle; Young's equation; line tension; thermodynamics; dividing surface; dividing line

Funding

  1. National Natural Science Foundation of China [11072242, 11032011]
  2. Doctor Research Foundation of Henan Polytechnic University [648734]
  3. Ministry of Science and Technology of China [2011CB935902, 2013CB934000, 2010DFA72760, 2011CB711202, 2013AA050903, 2011AA11A257, 2011AA11A254]
  4. Tsinghua University Initiative Scientific Research Program [2010THZ08116, 2011THZ08139, 2011THZ01004, 2012THZ08129]
  5. State Key Laboratory of Automotive Safety and Energy of China [ZZ2012-011]

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Using Gibbs' method of dividing surfaces, the contact angle of a drop on a flat homogeneous rough non-deformable solid substrate is investigated. For this system, a new generalized Young's equation for the contact angle, including the influences of line tension and which valid for any dividing surface between liquid phase and vapor phase is derived. Under some assumptions, this generalized Young's equation reduces to the Wenzel's equation or Rosanov's equation valid for the surface of tension.

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