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The modified Cassie’s equation and contact angle hysteresis

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Abstract

In this paper, we derive a modified Cassie’s equation for wetting on chemically patterned surfaces from a homogenization approach. The derivation reveals that effective contact angle is a local average of the static contact angle along the contact line which describes all possible equilibrium states including the local minimum of the free energy of the system. The usual Cassie’s state which corresponds to the global minimum is only a special case. We then discuss the contact angle hysteresis on chemically patterned surfaces.

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Authors and Affiliations

  1. The State Key Laboratory of Scientific and Engineering Computing, Institute of Computational, Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, 100080, China

    Xianmin Xu

  2. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China

    Xiaoping Wang

Authors
  1. Xianmin Xu
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  2. Xiaoping Wang
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Corresponding author

Correspondence to Xianmin Xu.

Additional information

This article is part of the Topical Collection on Contact Angle Hysteresis

This publication was based on work supported in part by Award No SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST), Hong Kong RGC-CERG grants 603107 and 604209, Chinese NSFC project 11001260, and by National Center for Mathematics and Interdisciplinary Sciences, CAS.

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Xu, X., Wang, X. The modified Cassie’s equation and contact angle hysteresis. Colloid Polym Sci 291, 299–306 (2013). https://doi.org/10.1007/s00396-012-2748-1

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  • DOI: https://doi.org/10.1007/s00396-012-2748-1

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