Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (3): 293-302.doi: https://doi.org/10.1007/s10483-015-1916-6

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Exact identities for sessile drops

M. HAJIRAHIMI1, F. MOKHTARI2, A. H. FATOLLAHI2   

  1. 1. Physics Group, South Tehran Branch, Islamic Azad University, Tehran 4435, Iran;
    2. Department of Physics, Alzahra University, Tehran 91167, Iran
  • Received:2014-04-25 Revised:2014-09-04 Online:2015-03-01 Published:2015-03-01
  • Contact: A. H. FATOLLAHI E-mail:fath@alzahra.ac.ir
  • Supported by:
    Project supported by the Research Council of Alzahra University (No. 7356-w-2511)

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.

Key words: hydrostatics, drop, identity, surface tension

2010 MSC Number: 

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