Geodesic
Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1822-1837 Cet article a éte moissonné depuis la source Math-Net.Ru

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The exterior boundary value problem of steady-state diffusion around a spherical particle placed in a Stokes flow is considered at high Peclet numbers. A complete asymptotic expansion of the solution in the wake of the particle is constructed by the method of matched asymptotic expansions. 
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R. G. Akhmetov. Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1822-1837. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a10/

[1] Levin V. G., Fiziko-khimicheskaya gidrodinamika, Fizmatgiz, M., 1959

[2] Sih P. H., Newman J., “Mass transfer to the rear of a sphere in Stoces flow”, Internat. J. Heat Mass Transfer, 10:12 (1967), 1749–1756 | DOI

[3] Newman J., “Mass transfer to the rear of a cylinder at high Schmidt number”, Indastr. Engng Chem. Fundam., 8:3 (1969), 553–557 | DOI

[4] Gupalo Yu. P., Polyanin A. D., Ryazantsev Yu. S., Massoteploobmen reagiruyuschikh chastits s potokom, Nauka, M., 1985

[5] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1989 | MR

[6] Van Daik M., Metody vozmuschenii v mekhanike zhidkostei, Mir, M., 1967 | Zbl

[7] Akhmetov R. T., “Asimptotika resheniya kraevoi zadachi dlya odnogo uravneniya diffuzii”, Differents. ur-niya s malym parametrom, 1984, 3–17, In-t matem. i mekhan. UrNTs AN SSSR, Sverdlovsk

[8] Akhmetov R. G., Asimptotika po malomu parametru resheniya ellipticheskogo uravneniya, opisyvayuschego yavleniya diffuzii okolo chastitsy, Dep. v VINITI, 16.06.86, 4415-V86, 34 pp.

[9] Akhmetov R. G., “Metod soglasovaniya v zadache o diffuzii k chastitse”, Matem. zametki, 47:5 (1990), 144–146 | MR | Zbl

[10] Akhmetov R. G., “Asimptotika resheniya singulyarno vozmuschennoi zadachi dlya uravneniya diffuzii v okrestnosti sedlovoi tochki u predelnogo operatora”, Dokl. RAN, 362:6 (1998), 727–728 | MR | Zbl

[11] Akhmetov R. G., “Asimptotika resheniya zadachi konvektivnoi diffuzii okolo sfery”, Zh. vychisl. matem. i matem. fiz., 38:5 (1998), 801–806 | MR | Zbl

[12] Akhmetov R. G., “Ob asimptotike resheniya zadachi konvektivnoi diffuzii okolo tsilindra”, Zh. vychisl. matem. i matem. fiz., 39:4 (1999), 612–617 | MR | Zbl

[13] Akhmetov R. G., “Asimptoticheskoe razlozhenie resheniya zadachi o konvektivnoi diffuzii okolo osesimmetrichnoi kapli”, Zh. vychisl. matem. i matem. fiz., 40:10 (2000), 1541–1553 | MR | Zbl

[14] Smirnova G. N., “Lineinye parabolicheskie uravneniya, vyrozhdayuschiesya na granitse oblasti”, Sibirskoi matem. zh., 4:2 (1963), 343–358 | MR | Zbl

[15] Sutton W. G. L., “On the equation of diffusion in a turbulent medium”, Proc. Roy. Soc. Ser. A, 182:988 (1943), 48–75 | DOI | MR | Zbl

[16] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. 1, Nauka, M., 1973

[17] Akhmetov R. G., “Asimptotika resheniya kraevoi zadachi dlya odnogo ellipticheskogo uravneniya”, Differents. ur-niya, 33:11 (1997), 1552–1554 | MR | Zbl

[18] Akhmetov R. G., “Asimptotika resheniya kraevoi zadachi dlya odnogo uravneniya diffuzii v poluploskosti”, Differents. ur-niya, 19:2 (1983), 287–294 | MR | Zbl

[19] Akhmetov R. G., “Asimptotika resheniya zadachi o konvektivnoi diffuzii s ob'emnoi khimicheskoi reaktsiei”, Zh. vychisl. matem. i matem. fiz., 42:10 (2002), 1600–1608 | MR | Zbl

[20] Akhmetov R. G., “Asimptoticheskoe razlozhenie resheniya zadachi konvektivnoi diffuzii v slede za kaplei”, Zh. vychisl. matem. i matem. fiz., 44:6 (2004), 1062–1078 | MR | Zbl