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Dynamics of water imbibition through hydrogel-coated capillary tubes

Sooyoung Chang1, Kaare H. Jensen2,*, and Wonjung Kim1,3,†

  • 1Department of Mechanical Engineering, Sogang University, Seoul 04107, Republic of Korea
  • 2Department of Physics, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark
  • 3Institute of Emergent Materials, Sogang University, Seoul 04107, Republic of Korea

  • *khjensen@fysik.dtu.dk
  • †wonjungkim@sogang.ac.kr
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Phys. Rev. Fluids 7, 064301 – Published 1 June, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.064301

Abstract

Water-absorbing materials consisting of hydrogel particles are widely used for agricultural substrates, hygienic products, drug delivery systems, and microfluidic devices. Hydrogel particles absorb water with expansion, leading to dynamics involving complicated interactions of intergranular liquid flow and hydrogel deformation. It is thus difficult to predict the water absorption rate of these materials. Water flow in hydrogel-coated capillary tubes also occurs with the deformation of flow passages, so it can be analogous to capillary flow through porous structures made of hydrogels. Here we report a combined experimental and theoretical investigation of water flow through capillaries whose inner surface is covered with a hydrogel layer. We experimentally measured the flow rate of water through hydrogel-coated capillary tubes and the volume of water absorbed by the hydrogel layer. We developed a mathematical model for capillary flow including the effects of the water absorption and swelling of the hydrogel layer. Our model is in good agreement with the measurements of the water flow rate and elucidates how the absorption and swelling of hydrogel regulate capillary flow. This study provides a theoretical framework for understanding the dynamics of capillary flow through porous structures composed of hydrogels, leading to insights into the engineering applications of porous hydrogel materials.

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References (33)

  1. T. Tanaka and D. J. Fillmore, Kinetics of swelling of gels, J. Chem. Phys. 70, 1214 (1979).
  2. P. Calvert, Hydrogels for soft machines, Adv. Mater. 21, 743 (2009).
  3. R. K. Garg, R. C. Rennert, D. Duscher, M. Sorkin, R. Kosaraju, L. J. Auerbach, J. Lennon, M. T. Chung, K. Paik, J. Nimpf, J. Rajadas, M. T. Longaker, and G. C. Gurtner, Capillary force seeding of hydrogels for adipose-derived stem cell delivery in wounds, Stem Cells Transl. Med. 3, 1079 (2014).
  4. B. Sun, Z. Wang, Q. He, W. Fan, and S. Cai, Porous double network gels with high toughness, high stretchability and fast solvent-absorption, Soft Matter 13, 6852 (2017).
  5. J. Chen, H. Park, and K. Park, Synthesis of superporous hydrogels: Hydrogels with fast swelling and superabsorbent properties, J. Biomed. Mater. Res. 44, 53 (1999).
  6. X. Liu, C. Steiger, S. Lin, G. A. Parada, J. Liu, H. F. Chan, H. Yuk, N. V. Phan, J. Collins, S. Tamang, G. Traverso, and X. Zhao, Ingestible hydrogel device, Nat. Commun. 10, 493 (2019).
  7. J. Seo, C. Wang, S. Chang, J. Park, and W. Kim, A hydrogel-driven microfluidic suction pump with a high flow rate, Lab Chip 19, 1790 (2019).
  8. H. Warren, D. J. Shepherd, M. Panhuis, D. L. Officer, and G. M. Spinks, Porous PNIPAm hydrogels: Overcoming diffusion-governed hydrogel actuation, Sens. Actuators A 301, 111784 (2020).
  9. J. L. Sommer and A. Mortensen, Forced unidirectional infiltration of deformable porous media, J. Fluid Mech. 311, 193 (1996).
  10. L. Preziosi, D. D. Joseph, and G. S. Beavers, Infiltration of initially dry, deformable porous media, Int. J. Multiphase Flow 22, 1205 (1996).
  11. D. M. Anderson, Imbibition of a liquid droplet on a deformable porous substrate, Phys. Fluids 17, 087104 (2005).
  12. J. I. Siddique, D. M. Anderson, and A. Bondarev, Capillary rise of a liquid into a deformable porous material, Phys. Fluids 21, 013106 (2009).
  13. M. Kvick, D. M. Martinez, D. R. Hewitt, and N. J. Balmforth, Imbibition with swelling: Capillary rise in thin deformable porous media, Phys. Rev. Fluids 2, 074001 (2017).
  14. E. W. Washburn, The dynamics of capillary flow, Phys. Rev. 17, 273 (1921).
  15. M. Rost, L. Laurson, M. Dubé, and M. Alava, Fluctuations in Fluid Invasion into Disordered Media, Phys. Rev. Lett. 98, 054502 (2007).
  16. S. Chang, J. Seo, S. Hong, D.-G. Lee, and W. Kim, Dynamics of liquid imbibition through paper with intra-fibre pores, J. Fluid Mech. 845, 36 (2018).
  17. S. Chang and W. Kim, Dynamics of water imbibition through paper with swelling, J. Fluid Mech. 892, A39 (2020).
  18. J. Andersson, A. Ström, T. Gebäck, and A. Larsson, Dynamics of capillary transport in semi-solid channels, Soft Matter 13, 2562 (2017).
  19. J. E. Silva, R. Geryak, D. A. Loney, P. A. Kottke, R. R. Naik, V. V. Tsukruk, and A. G. Fedorov, Stick–slip water penetration into capillaries coated with swelling hydrogel, Soft Matter 11, 5933 (2015).
  20. M. Zhou, S. Caré, A. King, D. Courtier-Murias, S. Rodts, G. Gerber, P. Aimedieu, M. Bonnet, M. Bornert, and P. Coussot, Wetting enhanced by water adsorption in hygroscopic plantlike materials, Phys. Rev. Research 1, 033190 (2019).
  21. M. A. Zwieniecki, P. J. Melcher, and N. Michele Holbrook, Hydrogel control of xylem hydraulic resistance in plants, Science 291, 1059 (2001).
  22. C. K. Boyce, M. A. Zwieniecki, G. D. Cody, C. Jacobsen, S. Wirick, A. H. Knoll, and N. M. Holbrook, Evolution of xylem lignification and hydrogel transport regulation, Proc. Natl. Acad. Sci. USA 101, 17555 (2004).
  23. W. Hong, X. Zhao, J. Zhou, and Z. Suo, A theory of coupled diffusion and large deformation in polymeric gels, J. Mech. Phys. Solids 56, 1779 (2008).
  24. N. Bouklas and R. Huang, Swelling kinetics of polymer gels: Comparison of linear and nonlinear theories, Soft Matter 8, 8194 (2012).
  25. M. Engelsberg and W. Barros, Jr., Free-evolution kinetics in a high-swelling polymeric hydrogel, Phys. Rev. E 88, 062602 (2013).
  26. T. Bertrand, J. Peixinho, S. Mukhopadhyay, and C. W. MacMinn, Dynamics of Swelling and Drying in a Spherical Gel, Phys. Rev. Appl. 6, 064010 (2016).
  27. W. Barros, Jr., Solvent self-diffusion dependence on the swelling degree of a hydrogel, Phys. Rev. E 99, 052501 (2019).
  28. I. Ogawa, H. Yamano, and K. Miyagawa, Rate of swelling of sodium polyacrylate, J. Appl. Polym. Sci. 47, 217 (1993).
  29. H. Omidian, S. A. Hashemi, P. G. Sammes, and I. Meldrum, A model for the swelling of superabsorbent polymers, Polymer 39, 6697 (1998).
  30. G. Rossi and K. A. Mazich, Kinetics of swelling for a cross-linked elastomer or gel in the presence of a good solvent, Phys. Rev. A 44, R4793 (1991).
  31. K. A. Mazich, G. Rossi, and C. A. Smith, Kinetics of solvent diffusion and swelling in a model elastomeric system, Macromolecules 25, 6929 (1992).
  32. G. Rossi and K. A. Mazich, Macroscopic description of the kinetics of swelling for a cross-linked elastomer or a gel, Phys. Rev. E 48, 1182 (1993).
  33. A. K. Bajpai, S. K. Shukla, S. Bhanu, and S. Kankane, Responsive polymers in controlled drug delivery, Prog. Polym. Sci. 33, 1088 (2008).

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Phys. Rev. Fluids 7, 064301– Published 1 June, 2022
  • Received 12 March 2022
  • Accepted 3 May 2022
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