Exact identities for sessile drops

doi:10.1007/s10483-015-1916-6

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

Exact identities for sessile drops

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

1. Physics Group, South Tehran Branch, Islamic Azad University, Tehran 4435, Iran;
2. Department of Physics, Alzahra University, Tehran 91167, Iran

收稿日期:2014-04-25 修回日期:2014-09-04 出版日期:2015-03-01 发布日期:2015-03-01
通讯作者: A. H. FATOLLAHI E-mail:fath@alzahra.ac.ir
基金资助:
Project supported by the Research Council of Alzahra University (No. 7356-w-2511)

Exact identities for sessile drops

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

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)

摘要/Abstract

摘要： 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.

关键词: drop, surface tension, hydrostatics, identity

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

中图分类号:

M. HAJIRAHIMI;F. MOKHTARI;A. H. FATOLLAHI. Exact identities for sessile drops[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(3): 293-302.

参考文献

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Exact identities for sessile drops

Exact identities for sessile drops

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