Abstract
The characteristics of limited dissolution of liquids in polymers in the highly elastic state are formulated. A rigorous expression was obtained for the rate of the change in the average degree of swelling of the elastomer in the form of an unlimited plate of arbitrary thickness with a linear law of distribution of the driving force of the process in it, equal to the difference in the chemical potentials of the diffusant in and outside of the polymer matrix. Calculation of the diffusion coefficient of a low-molecular-weight liquid in a polymer based on data on the swelling kinetics is only possible when very thin samples are used, where the gradient of the driving force of the process over the thickness of the material approaches zero.
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REFERENCES
V. P. Privalko, Molecular Structure and Properties of Polymers [in Russian], Khimiya, Leningrad (1986), p. 29.
L. N. Mizerovskii and G. A. Krestov, Dokl. Akad. Nauk, 335,No. 2, 185–186 (1994).
L. N. Mizerovskii, Khim. Volokna, No. 6, 7–11 (1995).
M. F. Bukhina, Technical Physics of Elastomers [in Russian], Khimiya, Moscow (1984).
A. V. Bromberg and O. S. Mal'tseva, Zh. Prikl. Khim., 20,No. 5, 422–430 (1947).
Aa. V. Dumanskii, A. F. Mezhennyi, and E. F. Nekriyach, Kolloidn. Zh., 10,No. 8, 193–198 (1948).
S. M. Lipatov, Physical Chemistry of Colloids [in Russian], Goskhimizdat, Moscow (1948), pp. 280–281.
A. L. Rotinyan, Kolloidn. Zh., 11,No.6, 431–437 (1949).
A. V. Bromberg and S. A. Merekalov, Zh. Prikl. Khim., 23,No. 12, 1280–1289 (1950).
A. V. Lykov, Thermal Conductivity of Nonsteady Processes [in Russian], Gosenergoizdat,, Moscow (1948).
S. N. Zhurkov and G. Ya. Ryskin, Zh. Tekh. Fiz., 24,No. 5, 797–810 (1954).
L. Rebenfeld, P. J. Makarewicz, and H. D. Weigmann, J. Macromol. Sci., 15,No. 2, 279–393 (1976).
S. A. Reitlinger, Permeability of Polymer Materials [in Russian], Khimiya, Moscow (1974).
J. Crank, The Mathematics of Diffusion, Clarendon Press, Oxford (1975).
N. I. Nikolaev, Diffusion in Membranes [in Russian], Khimiya, Moscow (1980).
A. E. Chalykh, Diffusion in Polymer Systems [in Russian], Khimiya, Moscow (1987).
V. E. Gul', Kolloidn. Zh., 15,No. 3, 170–177 (1953).
M. I. Mazel' and I. N. Ermolaenko, Uch. Zap. Beloruss. Gos. Un-t im. Lenina, Ser. Khim., 14, 47–63 (1953).
E. Ya. Denisyuk and V. V. Tereshatov, Vysokomolek. Soedin. 42,No. 42, 71–83 (2000).
M. L. Smolyanskii, Tables of Indefinite Integrals [in Russian], Nauka, Moscow (1965).
L. Treloar, Physics of Rubber Elasticity, Oxford (1949).
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Mizerovskii, L.N., Pochivalov, K.V. Kinetics of Limited Dissolution of Liquids in Polymers: Theoretical Aspects of the Problem. Fibre Chemistry 33, 487–494 (2001). https://doi.org/10.1023/A:1015071704029
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DOI: https://doi.org/10.1023/A:1015071704029