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Dynamics of liquid imbibition through paper with intra-fibre pores

Published online by Cambridge University Press:  20 April 2018

Sooyoung Chang ,
Jaedeok Seo ,
Seokbin Hong ,
Duck-Gyu Lee  and
Wonjung Kim Open the ORCID record for Wonjung Kim [Opens in a new window]
Sooyoung Chang
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 04107, Korea
Jaedeok Seo
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 04107, Korea
Seokbin Hong
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 04107, Korea
Duck-Gyu Lee
Affiliation:
Department of Nature-Inspired Nanoconvergence Systems, Korea Institute of Machinery and Materials, Daejeon 34103, Korea
Wonjung Kim*
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 04107, Korea
*
†Email address for correspondence: wonjungkim@sogang.ac.kr
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Abstract

We present a combined experimental and theoretical investigation of the dynamics of liquid imbibition through paper. The Washburn equation is widely used to describe the dynamics of capillary flow through paper, but this classical model has limited accuracy, which often makes it difficult to use in developing analytic systems such as paper-based microfluidic devices. We here report that the internal cavity of the cellulose fibres composing paper is significantly responsible for the limited accuracy of the Washburn equation. Our experiments demonstrated that liquid can be absorbed in the internal cavity of the cellulose fibres as well as in the inter-fibre pores formed by the fibre network. We developed a mathematical model for liquid imbibition by considering the flow through the intra-fibre pores based on experimental measurements of the intra-structure of cellulose fibres. The model markedly improves the prediction of the liquid absorption length, compared with the results of the Washburn equation, thus revealing the physics behind the limits of the Washburn equation. This study suggests that the accurate description of capillary imbibition through paper require parameters characterizing the internal pores of the cellulose fibres comprising the paper. Our results not only provide a new insight into porous media flows with different sized pores, but also provide a theoretical background for flow control in paper-based microfluidic systems.

JFM classification

Interfacial Flows (free surface): Capillary flows Micro-/Nano-fluid dynamics: Microfluidics Low-Reynolds-number flows: Porous media

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 845 , 25 June 2018 , pp. 36 - 50
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Copyright
© 2018 Cambridge University Press 

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Footnotes

‡

Equally contributing authors.

References

Ahmed, S., Bui, M. N. & Abbas, A. 2016 Paper-based chemical and biological sensors: engineering aspects. Biosens. Bioelectr. 77, 249–263.Google Scholar
Amaral, L., Barabási, A. L., Buldyrev, S. V., Havlin, S. & Stanley, H. E. 1994 New exponent characterizing the effect of evaporation on imbibition experiments. Phys. Rev. Lett. 72, 641–644.Google Scholar
Balankin, A. S., López, H. Z., León, E. P., Matamoros, D. M., Ruiz, L. M., López, D. S. & Rodríguez, M. A. 2013 Depinning and dynamics of imbibition fronts in paper under increasing ambient humidity. Phys. Rev. E 87, 014102.Google Scholar
Bico, J. & Quéré, D. 2003 Precursors of impregnation. Europhys. Lett. 61, 348–353.Google Scholar
Böhm, A., Carstens, F., Trieb, C., Schabel, S. & Biesalski, M. 2014 Engineering microfluidic papers: effect of fiber source and paper sheet properties on capillary-driven fluid flow. Microfluid. Nanofluid. 16, 789–799.Google Scholar
Cate, D. M., Adkins, J. A., Mettakoonpitak, J. & Henry, C. S. 2014 Recent developments in paper-based microfluidic devices. Analyt. Chem. 87, 19–41.Google Scholar
Cummins, B. M., Chinthapatla, R., Ligler, F. S. & Walker, G. M. 2017 Time-dependent model for fluid flow in porous materials with multiple pore sizes. Analyt. Chem. 89, 4377–4381.Google Scholar
Darcy, H. 1856 Les Fontaines Publiques de la Ville de Dijon. Dalmont.Google Scholar
Delker, T., Pengra, D. B. & Wong, P. 1996 Interface pinning and the dynamics of capillary rise in porous media. Phys. Rev. Lett. 76, 2902–2905.Google Scholar
Dubé, M., Rost, M., Elder, K. R., Alava, M., Majaniemi, S. & Ala-Nissila, T. 1999 Liquid conservation and nonlocal interface dynamics in imbibition. Phys. Rev. Lett. 83, 1628–1631.CrossRefGoogle Scholar
Hong, S., Kwak, R. & Kim, W. 2016 Paper-based flow fractionation system applicable to preconcentration and field-flow separation. Analyt. Chem. 88, 1682–1687.CrossRefGoogle ScholarPubMed
Horváth, V. K. & Stanley, H. E. 1995 Temporal scaling of interfaces propagating in porous media. Phys. Rev. E 52, 5166–5169.Google Scholar
Hu, J., Wang, S., Wang, L., Li, F., Pingguan-Murphy, B., Lu, T. J. & Xu, F. 2014 Advances in paper-based point-of-care diagnostics. Biosens. Bioelectr. 54, 585–597.CrossRefGoogle ScholarPubMed
Lin, Y., Gritsenko, D., Feng, S., Teh, Y. C., Lu, X. & Xu, J. 2016 Detection of heavy metal by paper-based microfluidics. Biosens. Bioelectr. 83, 256–266.Google Scholar
Mantanis, G. I., Young, R. A. & Rowell, R. M. 1995 Swelling of compressed cellulose fiber webs in organic liquids. Cellulose 2, 1–22.Google Scholar
Martinez, A. W., Phillips, S. T., Whitesides, G. M. & Carrilho, E. 2009 Diagnostics for the developing world: microfluidic paper-based analytical devices. Analyt. Chem. 82, 3–10.Google Scholar
Masoodi, R. & Pillai, K. M. 2010 Darcy’s law-based model for wicking in paper-like swelling porous media. AIChE J. 56, 2257–2267.Google Scholar
Masoodi, R., Tan, H. & Pillai, K. M. 2012 Numerical simulation of liquid absorption in paper-like swelling porous media. AIChE J. 58, 2536–2544.Google Scholar
Nayer, A. N. & Hossfeld, R. L. 1949 Hydrogen bonding and the swelling of wood in various organic liquids. J. Am. Chem. Soc. 71, 2852–2855.Google Scholar
Noh, H. & Phillips, S. T. 2010 Metering the capillary-driven flow of fluids in paper-based microfluidic devices. Analyt. Chem. 82, 4181–4187.Google Scholar
Pillai, K. M. & Advani, S. G. 1998 A model for unsaturated flow in woven fiber preforms during mold filling in resin transfer molding. J. Compos. Mater. 32, 1753–1783.Google Scholar
Rost, M., Laurson, L., Dubé, M. & Alava, M. 2007 Fluctuations in fluid invasion into disordered media. Phys. Rev. Lett. 98, 054502.Google Scholar
Schuchardt, D. R. & Berg, J. C. 1991 Liquid transport in composite cellulose-superabsorbent fiber networks. Wood Fiber Sci. 23, 342–357.Google Scholar
Walji, N. & MacDonald, B. D. 2016 Influence of geometry and surrounding conditions on fluid flow in paper-based devices. Micromachines 7, 73.Google Scholar
Washburn, E. W. 1921 The dynamics of capillary flow. Phys. Rev. 17, 273–283.Google Scholar
Xia, Y., Si, J. & Li, Z. 2016 Fabrication techniques for microfluidic paper-based analytical devices and their applications for biological testing: a review. Biosens. Bioelectr. 77, 774–789.CrossRefGoogle ScholarPubMed
Yetisen, A. K., Akram, M. S. & Lowe, C. R. 2013 Paper-based microfluidic point-of-care diagnostic devices. Lab on a Chip 13, 2210–2251.CrossRefGoogle ScholarPubMed