Exact identities for sessile drops

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

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 36; no. 3; pp. 293 - 302
Main Authors Hajirahimi, M., Mokhtari, F., Fatollahi, A. H.
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University 01.03.2015
Physics Group, South Tehran Branch, Islamic Azad University, Tehran 4435, Iran%Department of Physics, Alzahra University, Tehran 91167, Iran
Subjects
Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
几何参数
基板
拉普拉斯
数值解
曲面
菲亚特
轴对称
顶点
drop
O35
surface tension
identity
hydrostatics
76M99
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Summary:By direct integration of the are presented for the axisymmetric sessile geometrical parameters, including the apex Young-Laplace relation, a set of identities drops on fiat and curved substrates. The 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.
Bibliography:drop, hydrostatics, surface tension, identity
By direct integration of the are presented for the axisymmetric sessile geometrical parameters, including the apex Young-Laplace relation, a set of identities drops on fiat and curved substrates. The 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.
31-1650/O1
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-015-1916-6