Abstract
Gel is a state of matter that classified into the solid because it consists of the three-dimensional cross-linked polymer network. It, however, shows some liquid-like properties since it also contains a considerable amount of fluid. According to such a characteristic structure, many substances can pass the gel. In many separation technologies, therefore, gel is used as a molecular sieve. Although the gel plays many important roles in the separation technologies, the detailed roles played by the gel in the transport phenomena is not well understood yet. The transport phenomena in the gel are necessary to be clarified. In this chapter, we discuss tow transport phenomena that is related to the gel. The one is the friction of the gel against the liquid that flows through the gel, and the other is the resistance of the gel for the diffusional translation of the substances in the gel.
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Bansil R, Gupta MK (1980) Effects of varying crosslinking density on polyacrylamide gels. Ferroelectrics 30:63–71
Carr HY, Purcell EM (1954) Effects of diffusion on free precession in nuclear magnetic resonance. Phys Rev 94:630–638
Cukier RI (1984) Diffusion of Brownian spheres in semidilute polymer-solutions. Macromolecules 17:252–255
De Gennes PG (1976) On a relation between percolation theory and the elasticity of gels. J Phys Lett (Paris) 37:L1–L2
De Gennes PG (1979) Scaling concepts in polymer physics. Cornell University Press. Ithaca, pp 128–162
Doi Y, Tokita M (2005a) Real space structure of opaque gel. Langmuir 21:5285–5289
Doi Y, Tokita M (2005b) Friction coefficient and structural transition in a poly(acrylamide) gel. Langmuir 21:9420–9425
Einstein A (1956) In: Furth R (ed) Investigations on the theory of the Brownian Movement. Dover Publications Inc.
Fujiki M, Ito M, Kell M, Yashima S, Tokita M, Annnaka M (2016) Friction coefficient of well-defined hydrogel network. Macromolecules 49:634–642
Geissler E, Hecht AM (1982) Gel deswelling under reverse osmosis-II. J Chem Phys 77:1548–1553
Gibbs SJ, Johnson CS Jr (1991) Pulsed field gradient NMR-study of probe motion in polyacrylamide gels. Macromolecules 24:6110–6113
Hahn EL (1950) Spin echoes. Phys Rev 80:580–594
Hecht AM, Geissler E (1980) Gel deswelling under reverse osmosis. J Chem Phys 73:4077–4080
Hirokawa Y, Tanaka T (1984) Volume phase transition in a nonionic gel. J Chem Phys 81:6379–6380
Hirokawa Y, Jinnai H, Nishikawa Y, Okamoto T, Hashimoto T (1999) Direct observation of internal structures in poly(N-isopropylacrylamide) chemical gels. Macromolecules 32:7093–7099
Langevin D, Rondelez F (1978) Sedimentation of large colloidal particles through semidilute polymer-solutions. Polymer 19:875–882
Matsukawa S, Yasunaga H, Zhao C, Kuroki S, Ando I (1999) Diffusion processes in polymer gels as studied by pulsed field-gradient spin-echo NMR sepectroscopy. Prog Polym Sci 24:995–1044
Matsuo ES, Tanaka T (1992) Patterns in shrinking gel. Nature 358:482–485
Morita T, Narita T, Mukai S, Yanagisawa M, Tokita M (2013) Phase behaviors of agarose gel. AIP Adv 3:42128
Muhr AH, Blanshard JMV (1982) Diffusion in gels. Polymer 23:1012–1026
Munch JP, Candau S, Herz J, Hilld G (1977a) Inelastic light-scattering by gel modes in semi-dilute polymer solutions and permanent network at equilibrium swollen state. J Phys (Paris) 38:971–976
Munch JP, Lemarechal P, Candau S (1977b) Light-scattering spectroscopy polydimethylsiloxane-toluene gel. J Phys (Paris) 38:1499–1509
Nakamura K, Shinoda E, Tokita M (2001) The influence of compression velocity on strength and structure of gellan gels. Food Hydrocolloids 15:247–252
Narita T, Tokita M (2006) Liesegang pattern formation in k-carrageenan gel. Langmuir 22:349–352
Narita T, Tokita M (2010) Spatial pattern induced by gelation of polysaccharide solutions. In: Lagzi I (ed) Precipitation patterns in reaction-diffusion systems. Research Signpost, Kerala
Papon P, Leblond J, Meijer PHE (2002) The physics of phase transitions. Conceps and applications. Springer, Berlin, Heidelberg
Park IH, Johnson CS Jr, Gablriel DA (1990) Probe diffusion in polyacrylamide gels as observed by means of holographic relaxation methods—search for a universal equation. Macromolecules 23:1548–1553
Richards EG, Temple CJ (1971) Some properties of polyacrylamide gels. Nature (Phys Sci) 230:92
Stanley HE (1971) Introduction to phase transition and critical phenomena. Oxford University Press Inc.
Stejskal EO, Tanner JE (1965) Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J Chem Phys 42:288–292
Suzuki YY, Tokita M, Mukai S (2009) Kinetics of water flow through a polymer gel. Eur J Phys E29:415–422
Takebe T, Nawa K, Suehiro S, Hashimoto T (1989) Quasielastic light-scattering studies of swollen and stretched polymer gels. J Chem Phys 59:4360–4368
Tanaka T (1978) Collapse of gels and the critical endpoint. Phys Rev Lett 40:820–823
Tanaka T (1981) Gels. Aci Am 244:124–136
Tanaka T, Fillmore DJ (1979) Kinetics of swelling of gels. J Chem Phy 70:1214–1218
Tanaka T, Hocker LO, Benedek GB (1973) Spectrum of light scattered from a viscoelastic gel. J Chem Phys 59:5151–5159
Tanaka T, Ishiwata S, Ishimoto C (1977) Critical behavior of density fluctuations in gels. Phys Rev Lett 38:771–774
Tanaka T, Sato E, Hirokawa Y, Hirotsu S (1985) Critical kinetics of volume phase transition of gels. Phys Rev Lett 55:2455–2458
Tanaka T, Sun S-T, Hirokawa Y, Katayama S, Kucera J, Hirose Y, Amiya T (1987) Mechanical instability of gels at the phase transition. Nature 325:796–798
Tokita M, Hikichi K (1987) Mechanical studies of sol-gel transition: universal behavior of elastic modulus. Phys Rev A 35:4329–4333
Tokita M, Tanaka T (1991a) Friction coefficient of polymer networks of gels. J Chem Phys 95:4613–4619
Tokita M, Tanaka T (1991b) Reversible decrease of gel-solvent friction. Science 253:1121–1123
Tokita M, Hikichi K, Niki R, Arima S (1982) Dynamic viscoelastic studies on the mechanism of milk clotting process. Biorheology 19:209–219
Tokita M, Niki R, Hikichi K (1985) Critical behavior of modulus of gel. J Chem Phys 83:2583–2586
Tokita M, Miyoshi T, Takegoshi K, Hikichi K (1996) Probe diffusion in gels. Phys Rev E 53:1823–1827
Tokita M, Suzuki S, Miyamoto K, Komai T (1999) Confocal laser scanning microscope imaging of a pattern in shrinking gel. J Phys Soc Jpn 68:330–333
Tokita M, Miyamoto K, Komai T (2000) Polymer network dynamics in shrinking patterns of gels. J Chem Phys 113:1647–1650
Weiss N, van Vilet T, Silberberg A (1979) Permeability of heterogeneous gels. J Polym Sci Polym Phys Eds 17:2229–2240
Yamashita Y, Yanagisawa M, Tokita M (2014) Sol-gel transition and phase separation in ternary system of gelatin-water-poly(ethylene glycol) oligomer. J Mol Liq 200:47–51
Zhao QH, Matsukawa S (2012) Estimation of the hydrodynamic screening length in kappa-carrageenan solutions using NMR diffusion measurements. Polymer J 44:901–906
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Tokita, M. (2018). Transport in and Through Gel. In: Thakur, V., Thakur, M. (eds) Polymer Gels. Gels Horizons: From Science to Smart Materials. Springer, Singapore. https://doi.org/10.1007/978-981-10-6086-1_11
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DOI: https://doi.org/10.1007/978-981-10-6086-1_11
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