Investigation of the dynamics of immiscible displacement of a ganglion in capillaries

In this work the problem of displacing a ganglion of a ﬂuid by another immiscible one in capillaries is investigated. A modeling approach is developed to predict the location of the ganglion with time. The model describes two patterns; namely, when the ganglion totally exists inside the tube, and wh...

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Autores principales:	Amgad Salama, Jianchao Cai, Jisheng Kou, Shuyu Sun, Mohamed F. El-Amin, Yi Wang
Formato:	article
Lenguaje:	EN
Publicado:	Yandy Scientific Press 2021
Materias:	imbibition drainage ganglion capillarity lucas-washburn model Physics QC1-999
Acceso en línea:	https://doaj.org/article/72d214fd18184f6db975a50b123024ca
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spelling	oai:doaj.org-article:72d214fd18184f6db975a50b123024ca2021-11-08T02:51:57ZInvestigation of the dynamics of immiscible displacement of a ganglion in capillaries10.46690/capi.2021.02.022652-3310https://doaj.org/article/72d214fd18184f6db975a50b123024ca2021-06-01T00:00:00Zhttps://www.yandy-ager.com/index.php/cap/article/view/347https://doaj.org/toc/2652-3310In this work the problem of displacing a ganglion of a ﬂuid by another immiscible one in capillaries is investigated. A modeling approach is developed to predict the location of the ganglion with time. The model describes two patterns; namely, when the ganglion totally exists inside the tube, and when the advancing interface of the ganglion has broken through the exit of the tube. The model is valid for the case in which the ganglion is wetting as well as when it is nonwetting to the wall of the tube. It also considers the situation in which both the advancing and the receding interfaces assume, generally, different contact angles. For the special case when the displacement process is quasistatic, both the receding and the advancing contact angles may be considered the same. Under these conditions, interfacial tension force plays no role and the ganglion moves as a plug inside the tube with a constant velocity. When the viscosity ratio between the invading ﬂuid and the ganglion is one (i.e., both phases are having the same viscosity) the motion reduces to the Hagen-Poiseuille ﬂow in pipes. Once the advancing interface breaks through the exit of the tube, interfacial tension starts to take part in the displacement process and the ganglion starts to accelerate or decelerate according to the viscosity ratio. When the ganglion is nonwetting, interfacial tension becomes in the direction of the ﬂow and is opposite to the ﬂow otherwise. The model accounts for external forces such as pressure and gravity in addition to capillarity. A computational ﬂuid dynamics analysis of this system is conducted for both types of wettability scenarios and shows very good match with the results of the developed model during both the two modes of ﬂow patterns. This builds conﬁdence in the developed modeling approach. Other cases have also been explored to highlight the effects of other scenarios.Amgad SalamaJianchao CaiJisheng KouShuyu SunMohamed F. El-AminYi WangYandy Scientific Pressarticleimbibitiondrainageganglioncapillaritylucas-washburn modelPhysicsQC1-999ENCapillarity, Vol 4, Iss 2, Pp 31-44 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	imbibition drainage ganglion capillarity lucas-washburn model Physics QC1-999
spellingShingle	imbibition drainage ganglion capillarity lucas-washburn model Physics QC1-999 Amgad Salama Jianchao Cai Jisheng Kou Shuyu Sun Mohamed F. El-Amin Yi Wang Investigation of the dynamics of immiscible displacement of a ganglion in capillaries
description	In this work the problem of displacing a ganglion of a ﬂuid by another immiscible one in capillaries is investigated. A modeling approach is developed to predict the location of the ganglion with time. The model describes two patterns; namely, when the ganglion totally exists inside the tube, and when the advancing interface of the ganglion has broken through the exit of the tube. The model is valid for the case in which the ganglion is wetting as well as when it is nonwetting to the wall of the tube. It also considers the situation in which both the advancing and the receding interfaces assume, generally, different contact angles. For the special case when the displacement process is quasistatic, both the receding and the advancing contact angles may be considered the same. Under these conditions, interfacial tension force plays no role and the ganglion moves as a plug inside the tube with a constant velocity. When the viscosity ratio between the invading ﬂuid and the ganglion is one (i.e., both phases are having the same viscosity) the motion reduces to the Hagen-Poiseuille ﬂow in pipes. Once the advancing interface breaks through the exit of the tube, interfacial tension starts to take part in the displacement process and the ganglion starts to accelerate or decelerate according to the viscosity ratio. When the ganglion is nonwetting, interfacial tension becomes in the direction of the ﬂow and is opposite to the ﬂow otherwise. The model accounts for external forces such as pressure and gravity in addition to capillarity. A computational ﬂuid dynamics analysis of this system is conducted for both types of wettability scenarios and shows very good match with the results of the developed model during both the two modes of ﬂow patterns. This builds conﬁdence in the developed modeling approach. Other cases have also been explored to highlight the effects of other scenarios.
format	article
author	Amgad Salama Jianchao Cai Jisheng Kou Shuyu Sun Mohamed F. El-Amin Yi Wang
author_facet	Amgad Salama Jianchao Cai Jisheng Kou Shuyu Sun Mohamed F. El-Amin Yi Wang
author_sort	Amgad Salama
title	Investigation of the dynamics of immiscible displacement of a ganglion in capillaries
title_short	Investigation of the dynamics of immiscible displacement of a ganglion in capillaries
title_full	Investigation of the dynamics of immiscible displacement of a ganglion in capillaries
title_fullStr	Investigation of the dynamics of immiscible displacement of a ganglion in capillaries
title_full_unstemmed	Investigation of the dynamics of immiscible displacement of a ganglion in capillaries
title_sort	investigation of the dynamics of immiscible displacement of a ganglion in capillaries
publisher	Yandy Scientific Press
publishDate	2021
url	https://doaj.org/article/72d214fd18184f6db975a50b123024ca
work_keys_str_mv	AT amgadsalama investigationofthedynamicsofimmiscibledisplacementofaganglionincapillaries AT jianchaocai investigationofthedynamicsofimmiscibledisplacementofaganglionincapillaries AT jishengkou investigationofthedynamicsofimmiscibledisplacementofaganglionincapillaries AT shuyusun investigationofthedynamicsofimmiscibledisplacementofaganglionincapillaries AT mohamedfelamin investigationofthedynamicsofimmiscibledisplacementofaganglionincapillaries AT yiwang investigationofthedynamicsofimmiscibledisplacementofaganglionincapillaries
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Investigation of the dynamics of immiscible displacement of a ganglion in capillaries

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