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Exact identities for sessile drops

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Abstract

By direct integration of the Young-Laplace relation, a set of identities are presented for the axisymmetric sessile drops on flat and curved substrates. The geometrical parameters, including the apex curvature, the apex height, and the contact radius, are related by the identities. The validity of the identities is checked by various numerical solutions for drops on flat and curved substrates.

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Authors and Affiliations

  1. Physics Group, South Tehran Branch, Islamic Azad University, Tehran, 4435, Iran

    M. Hajirahimi

  2. Department of Physics, Alzahra University, Tehran, 91167, Iran

    F. Mokhtari & A. H. Fatollahi

Authors
  1. M. Hajirahimi
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  2. F. Mokhtari
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  3. A. H. Fatollahi
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Corresponding author

Correspondence to A. H. Fatollahi.

Additional information

Project supported by the Research Council of Alzahra University (No. 7356-w-2511)

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Hajirahimi, M., Mokhtari, F. & Fatollahi, A.H. Exact identities for sessile drops. Appl. Math. Mech.-Engl. Ed. 36, 293–302 (2015). https://doi.org/10.1007/s10483-015-1916-6

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  • DOI: https://doi.org/10.1007/s10483-015-1916-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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