This paper considers the nonstationary process of extraction from a solid body modeled by a system of semiinfinite capillaries connected with a group of no-flow channels when the mass transfer velocity in the flow is composed of two components — a constant velocity component and a time-periodic addition to the first one that is assumed to be small relative to the amplitude. We have obtained analytical dependences for the masstransfer characteristics that are of practical interest: the concentration and the diffusion flow for both the main approximation and with correction for the periodic action on the system.
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G. A. Aksel’rud and V. M. Lysyanskii, Extraction. Solid Body–Liquid System [in Russian], Khimiya, Leningrad (1974).
G. A. Aksel’rud and M. A. Al’tshuler, Introduction to Capillary-Chemical Technology [in Russian], Khimiya, Moscow (1983).
D. Tondeur, Le lavage des gâteaux de filtration, Chim. Ind. Gén. Chim., 103, No. 21, 2799–2808 (1970).
Yu. A. Buevich, Yu. A. Korneev, and I. N. Shchelchkova, On the heat or mass transfer in a dispersed flow, Inzh.-Fiz. Zh., 30, No. 6, 979–985 (1976).
A. I. Moshinskii, Description of mass-exchange processes in porous media at low values of the Peclet number, Inzh.-Fiz. Zh., 51,No. 1, 92–98 (1986).
Yu. A. Buevich, On the theory of transport in heterogeneous media, Inzh.-Fiz. Zh., 54, No. 5, 770–779 (1988).
Yu. A. Buevich, Problems of transfer in disperse media, in: Proc. 1st Minsk Int. Forum "Heat and Mass Transfer–MIF-1988" [in Russian], May 24–27, 1988, Keynote Papers. Sections 4 and 5, Minsk (1988), pp. 100–114.
Yu. I. Babenko and E. V. Ivanov, Mathematical model of extraction from a body having a bidisperse porous structure, Teor. Osnovy Khim. Tekhnol., 39, No. 6, 644–650 (2005).
A. I. Moshinskii, Mathematical model of mass transfer in the case of a bidisperse porous material, Inzh.-Fiz. Zh., 82, No. 2, 258–272 (2009).
Yu. I. Babenko and E. V. Ivanov, Extraction into a flowing velocity-gradient liquid, Teor. Osnovy Khim. Tekhnol., 42, No. 5, 504–508 (2008).
A. A. Dolinskii, Use of the principle of discrete pulsed energy input for developing efficient energy-saving technologies, Inzh.-Fiz. Zh., 69, No. 6, 885–896 (1996).
A. I. Moshinskii and E. V. Ivanov, Fluid filtration in a porous particle under the action of pressure pulses on local portions of its surface, Teor. Osnovy Khim. Tekhnol., 42, No. 2, 160–169 (2008).
R. M. Abiev and G. M. Ostrovskii, Modeling of the process of extraction from a capillary-porous particle having a bidisperse structure, Teor. Osnovy Khim. Tekhnol., 35, No. 3, 270–275 (2001).
R. M. Malyshev, A. M. Kutepov, A. N. Zolotnikov, et al., Influence of the imposition of the field of low-frequency oscillations on the extraction efficiency and mathematical model of the process, Dokl. Ross. Akad. Nauk, 381, No. 6, 800–805 (2001).
R. I. Nigmatulin, Principles of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).
E. S. Romm, Structural Models of the Porous Space of Rocks [in Russian], Nedra, Leningrad (1985).
Yu. A. Kokotov, P. P. Zolotarev, and G. E. El’kin, Theoretical Principles of Ion Exchange. Complex Ion Exchange Systems [in Russian], Khimiya, Leningrad (1986).
Yu. I. Babenko and E. V. Ivanov, Extraction of a dissolved substance from a porous body into a flowing liquid, Teor. Osnovy Khim. Tekhnol., 41, No. 2, 225–227 (2007).
A. I. Moshinskii, On the heat dispersion in a fluid flow in the heat exchange with the wall, Teplofiz. Vys. Temp., 30, No. 6, 1118–1123 (1992).
L. G. Loitsyanskii, Fluid Mechanics [in Russian], Nauka, Moscow (1973).
G. I. Barenblatt, Similarity, Self-Similarity, Intermediate Asymptotics [in Russian], 2nd rev. and augm. ed., Gidrometeoizdat, Leningrad (1982).
A. H. Nayfeh, Perturbation Techniques [Russian translation], Mir, Moscow (1976).
M. A. Lavrent’ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1973).
G. Doech, Introduction to the Theory and Application of Laplace and Z Transforms [Russian translation], Nauka, Moscow (1971).
N. N. Lebedev, Special Functions and Their Applications [in Russian], Fizmatgiz, Moscow (1963).
M. V. Fedoryuk, Asymptotics: Integrals and Series [in Russian], Nauka, Moscow (1987).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 83, No. 2, pp. 209–221, March–April, 2010.
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Moshinskii, A.I. Extraction from a porous body in the presence of periodic fluid flow on it. J Eng Phys Thermophy 83, 221–234 (2010). https://doi.org/10.1007/s10891-010-0337-z
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DOI: https://doi.org/10.1007/s10891-010-0337-z