The initial stage of mass transfer in a porous material with two types of~pores
Matematičeskoe modelirovanie, Tome 25 (2013) no. 5, pp. 29-43.

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The initial stage of penetration of the substance in a porous medium from final volume (capacity) is investigated at the account of a relaxation of mass transfer. It is accepted that the porous material is modelled by two continua with the specificity of diffusion processes in each of them.
Keywords: relaxation, porous body, mass transfer, two-component media.
Mots-clés : saturation
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A. I. Moshinskij. The initial stage of mass transfer in a porous material with two types of~pores. Matematičeskoe modelirovanie, Tome 25 (2013) no. 5, pp. 29-43. http://geodesic.mathdoc.fr/item/MM_2013_25_5_a2/

[1] Nigmatulin R. I., Osnovy mekhaniki geterogennykh sred, Nauka, M., 1978, 336 pp. | MR

[2] Buevich Yu. A., Korneev Yu. A., “O perenose tepla i massy v dispersnoi srede”, Prikl. mekhanika i tekhn. fizika, 1974, no. 4, 79–87

[3] Buevich Yu. A., Korneev Yu. A., Schelchkova I. N., “O perenose tepla ili massy v dispersnom potoke”, Inzh.-fiz. zhurn., 30:6 (1976), 979–985

[4] P. Ya. Polubarinova-Kochina i dr. (red.), Razvitie issledovanii po teorii filtratsii v SSSR (1917–1967), Nauka, M., 1969, 545 pp.

[5] Tondeur D., “Le lavage des gâteaux de filtration”, Chimie industrie Génie chimique, 103:21 (1970), 2799–2808

[6] Buevich Yu. A., “Problemy perenosa v dispersnykh sredakh”, Teplomassoobmen MMF. Problemnye doklady, Sektsiya 4, 5, Minsk, 1988, 100–114

[7] Tolmachev M. G., Tikhonov M. A., Nikashina V. A., Bannykh L. N., “Protsess sorbtsii toksichnykh zagryaznenii prirodnym tseolitom kak geokhimicheskim barerom”, Matem. modelirovanie, 22:5 (2010), 97–103

[8] Babenko Yu. I., Ivanov E. V., “Diffuzionno-konvektivnoe ekstragirovanie v zamknutyi ob'em”, Teoreticheskie osnovy khimicheskoi tekhnologii, 42:1 (2008), 48–56

[9] Moshinskii A. I., “Matematicheskaya model teplomassoperenosa v bidispersnom poristom materiale”, Prikl. mekhanika i tekhn. fizika, 50:5 (2009), 121–131

[10] Moshinskii A. I., “Vliyanie pulsatsionnogo dvizheniya zhidkosti v bidispersnoi poristoi srede na rasprostranenie v nei veschestva”, Izvestiya RAN, seriya Mekhanika zhidkosti i gaza, 2010, no. 6, 109–121 | Zbl

[11] Khuzhaerov B. Kh., “Makroskopicheskoe modelirovanie relaksatsionnogo perenosa veschestva v poristoi srede”, Izvestiya RAN, seriya Mekhanika zhidkosti i gaza, 2004, no. 5, 21–30

[12] Lykov A. V., Teplomassoobmen, spravochnik, Energiya, M., 1978, 480 pp.

[13] Kats M., Neskolko veroyatnostnykh zadach fiziki i matematiki, Nauka, M., 1967, 176 pp. | Zbl

[14] Sirenek V. A., Kryuchkov A. F., “Veroyatnostnoe reshenie nachalno-kraevoi zadachi dlya giperbolicheskogo uravneniya massoperenosa”, Matem. modelirovanie, 10:6 (1998), 107–117 | MR | Zbl

[15] Lebedev H. H., Skalskaya I. P., Uflyand Ya. S., Sbornik zadach po matematicheskoi fizike, GITTL, M., 1955, 420 pp.

[16] Zino I. E., “Ob approksimatsiyakh tipa teplovoi emkosti v zadachakh nestatsionarnogo termoelektricheskogo okhlazhdeniya”, Teplofizika, Sb. nauchnykh trudov LPI im. M. I. Kalinina, 418, 1986, 71–77

[17] Moshinskii A. I., “O granichnykh usloviyakh tipa teplovoi emkosti v zadachakh teploobmena”, Teplofizika vysokikh temperatur, 27:4 (1989), 708–713 | MR

[18] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1973, 736 pp. | MR

[19] Dech G., Rukovodstvo k prakticheskomu primeneniyu preobrazovaniya Laplasa i $Z$-preobrazovaniya, Nauka, M., 1971, 288 pp. | MR

[20] De Brein N. G., Asimptoticheskie metody v analize, Izd-vo Inostrannoi literatury, M., 1961, 250 pp.

[21] Erdeii A., Asimptoticheskie razlozheniya, GIFML, M., 1962, 130 pp.