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Journal of Adhesion Science and Technology Volume 28, 2014 - Issue 2
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A generalized Young’s equation for contact angles of droplets on homogeneous and rough substrates

Xiao-Song WangInstitute of Mechanical and Dynamical Engineering, Henan Polytechnic University, No. 2001, Century Avenue, Jiaozuo, Henan, 454000, China.;State Key Laboratory of Automotive Safety and Energy, Tsinghua University, 100084, China.;Huadong Institute of Lithium Ion Battery, Zhangjiagang, Jiangsu, 215600, China.
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Shu-Wen CuiDepartment of Physics and Electronic Information, Cangzhou Normal University, Cangzhou, Hebei, 061001, China.
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Long ZhouInstitute of Mechanical and Dynamical Engineering, Henan Polytechnic University, No. 2001, Century Avenue, Jiaozuo, Henan, 454000, China.
,
Sheng-Hua XuKey Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China.
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Zhi-Wei SunKey Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China.
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Ru-Zeng ZhuKey Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China.Correspondence[email protected]
Pages 161-170 | Received 04 Jan 2013, Accepted 05 Aug 2013, Published online: 26 Sep 2013
 
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Abstract

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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