Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method

Paper-based microfluidic devices are widely used in point-of-care testing applications. Imbibition study of paper porous media is important for fluid controlling, and then significant to the applications of paper-based microfluidic devices. Here we propose an analytical approach based on the infinit...

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Autores principales:	Kui Song, Ruijie Huang, Xiaoling Hu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	microfluidics imbibition paper-like material paper-based microfluidic devices infinitesimal control volume method Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/643eb96c87814316b06f94a0edba25a0
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spelling	oai:doaj.org-article:643eb96c87814316b06f94a0edba25a02021-11-25T18:23:37ZImbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method10.3390/mi121113912072-666Xhttps://doaj.org/article/643eb96c87814316b06f94a0edba25a02021-11-01T00:00:00Zhttps://www.mdpi.com/2072-666X/12/11/1391https://doaj.org/toc/2072-666XPaper-based microfluidic devices are widely used in point-of-care testing applications. Imbibition study of paper porous media is important for fluid controlling, and then significant to the applications of paper-based microfluidic devices. Here we propose an analytical approach based on the infinitesimal control volume method to study the imbibition of Newtonian fluids in commonly used paper-like materials. Three common paper shapes (rectangular paper strips, fan-shaped and circular paper sheets) are investigated with three modeling methods (corresponding to equivalent tiny pores with circle, square and regular triangle cross section respectively). A model is derived for liquid imbibition in rectangular paper strips, and the control equations for liquid imbibition in fan-shaped and circular paper sheets are also derived. The model is verified by imbibition experiments done using the mixed cellulose ester filter paper and pure water. The relation of imbibition distance and time is similar to that of the Lucas−Washburn (L−W) model. In addition, a new porosity measurement method based on the imbibition in circular paper sheets is proposed and verified. Finally, the flow rates are investigated. This study can provide guidance for the design of different shapes of paper, and for better applications of paper-based microfluidic devices.Kui SongRuijie HuangXiaoling HuMDPI AGarticlemicrofluidicsimbibitionpaper-like materialpaper-based microfluidic devicesinfinitesimal control volume methodMechanical engineering and machineryTJ1-1570ENMicromachines, Vol 12, Iss 1391, p 1391 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	microfluidics imbibition paper-like material paper-based microfluidic devices infinitesimal control volume method Mechanical engineering and machinery TJ1-1570
spellingShingle	microfluidics imbibition paper-like material paper-based microfluidic devices infinitesimal control volume method Mechanical engineering and machinery TJ1-1570 Kui Song Ruijie Huang Xiaoling Hu Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method
description	Paper-based microfluidic devices are widely used in point-of-care testing applications. Imbibition study of paper porous media is important for fluid controlling, and then significant to the applications of paper-based microfluidic devices. Here we propose an analytical approach based on the infinitesimal control volume method to study the imbibition of Newtonian fluids in commonly used paper-like materials. Three common paper shapes (rectangular paper strips, fan-shaped and circular paper sheets) are investigated with three modeling methods (corresponding to equivalent tiny pores with circle, square and regular triangle cross section respectively). A model is derived for liquid imbibition in rectangular paper strips, and the control equations for liquid imbibition in fan-shaped and circular paper sheets are also derived. The model is verified by imbibition experiments done using the mixed cellulose ester filter paper and pure water. The relation of imbibition distance and time is similar to that of the Lucas−Washburn (L−W) model. In addition, a new porosity measurement method based on the imbibition in circular paper sheets is proposed and verified. Finally, the flow rates are investigated. This study can provide guidance for the design of different shapes of paper, and for better applications of paper-based microfluidic devices.
format	article
author	Kui Song Ruijie Huang Xiaoling Hu
author_facet	Kui Song Ruijie Huang Xiaoling Hu
author_sort	Kui Song
title	Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method
title_short	Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method
title_full	Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method
title_fullStr	Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method
title_full_unstemmed	Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method
title_sort	imbibition of newtonian fluids in paper-like materials with the infinitesimal control volume method
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/643eb96c87814316b06f94a0edba25a0
work_keys_str_mv	AT kuisong imbibitionofnewtonianfluidsinpaperlikematerialswiththeinfinitesimalcontrolvolumemethod AT ruijiehuang imbibitionofnewtonianfluidsinpaperlikematerialswiththeinfinitesimalcontrolvolumemethod AT xiaolinghu imbibitionofnewtonianfluidsinpaperlikematerialswiththeinfinitesimalcontrolvolumemethod
_version_	1718411199334318080

Imbibition of Newtonian Fluids in Paper-like Materials with the Infinitesimal Control Volume Method

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