Consideration has been given to a model of heat- and mass-exchange processes in a porous body with two types of pores that is suitable for description of the initial stage of penetration of a substance into a porous system (or of the inverse process: withdrawal of a substance from it). Convective transfer of the substance is allowed for in large channels (pores). The solution of the problem with supplementary conditions, which are typical in practice and with which the kinetic function of imbibition (withdrawal) of the porous medium and the density of the substance flux from the body were found, has been obtained. Certain limiting cases have been investigated.
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References
D. Tondeur, Le lavage des gâteaux de filtration, Chim. Ind. Gén. Chim., 103, No. 21, 2799–2808 (1970).
Yu. A. Buevich and Yu. A. Korneev, On heat and mass transfer in a disperse medium, Prikl. Mekh. Tekh. Fiz., 15, No. 4, 79–87 (1974).
Yu. A. Buevich, Yu. A. Korneev, and I. N. Shchelchkova, Transport of heat or mass in a dispersed flow, Inzh.-Fiz. Zh., 30, No. 6, 979–985 (1976).
L. B. Dvorkin, On the convective theory of diffusion in porous media. III. Convective diffusion of salts in porous media with account for the influence of “dead-end” pores, Zh. Fiz. Khim., 42, No. 4, 948–956 (1968).
Yu. A. Buevich, Problems of transfer in disperse media, in: Heat and Mass Transfer–MIF-88: 1st Minsk Int. Forum, May 24–27, 1988, Keynote Papers, Sections 4, 5, Minsk (1988), pp. 100–114.
Yu. A. Buevich, On a theory of transport in heterogeneous media, Inzh.-Fiz. Zh., 54, No. 5, 770–779 (1988).
A. I. Moshinskii, Mathematical model of mass transfer in the case of a bidispersed porous material, Inzh.-Fiz. Zh., 82, No. 2, 258–272 (2009).
E. S. Romm, Structural Models of the Pore Space of Rocks [in Russian], Nedra, Leningrad (1985).
Yu. A. Kokotov, P. P. Zolotarev, and G. E. El’kin, Theoretical Principles of Ion Exchange. Combined Ion-Exchange Systems [in Russian], Khimiya, Leningrad (1986).
Yu. A. Buevich and E. B. Perminov, Nonstationary heating of a fixed granular mass, Inzh.-Fiz. Zh., 38, No. 1, 29–37 (1980).
A. I. Moshinskii, Mathematical model of heat and mass transfer in a bidisperse porous material, Prikl. Mekh. Tekh. Fiz., 50, No. 5, 121–131 (2009).
A. I. Moshinskii, Extraction from a porous body in the presence of periodic fluid flow in it, Inzh.-Fiz. Zh., 83, No. 2, 209–221 (2010).
Yu. I. Babenko and E. V. Ivanov, Extraction from a body having a bidisperse porous structure, Teor. Osn. Khim. Tekhnol., 43, No. 4, 408–414 (2009).
M. A. Lavrentiev (M. A. Lavrentiev and B. V. Shabat Eds.), Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1973).
N. N. Lebedev, Special Functions and Their Use [in Russian], Fizmatgiz, Moscow (1963).
J. D. Cole, Perturbation Methods in Applied Mathematics [Russian translation], Mir, Moscow (1972).
M. V. Fedoryuk, Steepest Descent Method [in Russian], Nauka, Moscow (1977).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 86, No. 1, pp. 14–23, January–February, 2013.
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Moshinskii, A.I. Initial stage of imbibition of a porous material with allowance for convective mass transfer. J Eng Phys Thermophy 86, 12–22 (2013). https://doi.org/10.1007/s10891-013-0799-x
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DOI: https://doi.org/10.1007/s10891-013-0799-x