Geodesic
On the computing of the equilibrium volume of a small sessile drop
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 140-147

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In the current paper we consider a small liquid drop resting on a horizontal smooth surface with the effect of gravity and wich is in thermodynamic equilibrium with its own vapor. Taking into account the size dependence of the surface tension systems of nonlinear firstorder differential equations describing the droplet profile are obtained . The relation between the coordinates of an arbitrary point on the surface of the drop and the volume is found. All obtained equations and formulas go over to the earlier known if the parameter responsible for the size effect equals zero.
Keywords: sessile drop, capillary pressure, contact angle, capillary constant, equilibrium capillary surface, size dependence, Tolman length.
Mots-clés : surface tension, Laplace equation 
@article{VKAM_2018_3_a16,
     author = {A. A. Sokurov},
     title = {On the computing of the equilibrium volume of a small sessile drop},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {140--147},
     publisher = {mathdoc},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2018_3_a16/}
}
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A. A. Sokurov. On the computing of the equilibrium volume of a small sessile drop. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 140-147. http://geodesic.mathdoc.fr/item/VKAM_2018_3_a16/