Wettability of semispherical droplets on layered elastic gradient soft substrates

Abstract Research on the wettability of soft matter is one of the most urgently needed studies in the frontier domains, of which the wetting phenomenon of droplets on soft substrates is a hot subject. Scholars have done considerable studies on the wetting phenomenon of single-layer structure, but it...

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Autores principales: Yonglin Yang, Xing Li, Wenshuai Wang
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/2efce90b486f4cd29eaf978f9cab6330
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spelling oai:doaj.org-article:2efce90b486f4cd29eaf978f9cab63302021-12-02T14:16:26ZWettability of semispherical droplets on layered elastic gradient soft substrates10.1038/s41598-020-80575-92045-2322https://doaj.org/article/2efce90b486f4cd29eaf978f9cab63302021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-80575-9https://doaj.org/toc/2045-2322Abstract Research on the wettability of soft matter is one of the most urgently needed studies in the frontier domains, of which the wetting phenomenon of droplets on soft substrates is a hot subject. Scholars have done considerable studies on the wetting phenomenon of single-layer structure, but it is noted that the wetting phenomenon of stratified structure is ubiquitous in nature, such as oil exploitation from geological structural layers and shale gas recovery from shale formations. Therefore, the wettability of droplets on layered elastic gradient soft substrate is studied in this paper. Firstly, considering capillary force, elastic force and surface tension, the constitutive equation of the substrate in the vector function system is derived by using the vector function system in cylindrical coordinates, and the transfer relation of layered structure is obtained. Further, the integral expressions of displacement and stress of double Bessel function are given. Secondly, the numerical results of displacement and stress are obtained by using the numerical formula of double Bessel function integral. The results show that the deformation of the substrate weakens with the increase of the elastic modulus, also the displacement and stress change dramatically near the contact line, while the variation is flat when the contact radius is far away from the droplet radius.Yonglin YangXing LiWenshuai WangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-17 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Yonglin Yang
Xing Li
Wenshuai Wang
Wettability of semispherical droplets on layered elastic gradient soft substrates
description Abstract Research on the wettability of soft matter is one of the most urgently needed studies in the frontier domains, of which the wetting phenomenon of droplets on soft substrates is a hot subject. Scholars have done considerable studies on the wetting phenomenon of single-layer structure, but it is noted that the wetting phenomenon of stratified structure is ubiquitous in nature, such as oil exploitation from geological structural layers and shale gas recovery from shale formations. Therefore, the wettability of droplets on layered elastic gradient soft substrate is studied in this paper. Firstly, considering capillary force, elastic force and surface tension, the constitutive equation of the substrate in the vector function system is derived by using the vector function system in cylindrical coordinates, and the transfer relation of layered structure is obtained. Further, the integral expressions of displacement and stress of double Bessel function are given. Secondly, the numerical results of displacement and stress are obtained by using the numerical formula of double Bessel function integral. The results show that the deformation of the substrate weakens with the increase of the elastic modulus, also the displacement and stress change dramatically near the contact line, while the variation is flat when the contact radius is far away from the droplet radius.
format article
author Yonglin Yang
Xing Li
Wenshuai Wang
author_facet Yonglin Yang
Xing Li
Wenshuai Wang
author_sort Yonglin Yang
title Wettability of semispherical droplets on layered elastic gradient soft substrates
title_short Wettability of semispherical droplets on layered elastic gradient soft substrates
title_full Wettability of semispherical droplets on layered elastic gradient soft substrates
title_fullStr Wettability of semispherical droplets on layered elastic gradient soft substrates
title_full_unstemmed Wettability of semispherical droplets on layered elastic gradient soft substrates
title_sort wettability of semispherical droplets on layered elastic gradient soft substrates
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/2efce90b486f4cd29eaf978f9cab6330
work_keys_str_mv AT yonglinyang wettabilityofsemisphericaldropletsonlayeredelasticgradientsoftsubstrates
AT xingli wettabilityofsemisphericaldropletsonlayeredelasticgradientsoftsubstrates
AT wenshuaiwang wettabilityofsemisphericaldropletsonlayeredelasticgradientsoftsubstrates
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