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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1822–1837
(Mi zvmmf401)
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Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle
R. G. Akhmetov Bashkir State Pedagogical University, ul. Oktyabr'skoi revolyutsii 3a, Ufa, 450000, Bashkortostan, Russia
Abstract:
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.
Key words:
convective diffusion problem in the wake of a spherical particle, asymptotic expansion of solutions, substantiation of asymptotic expansions, method of matched asymptotic expansions.
Received: 13.01.2006
Citation:
R. G. Akhmetov, “Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1822–1837; Comput. Math. Math. Phys., 46:10 (2006), 1737–1752
Linking options:
https://www.mathnet.ru/eng/zvmmf401 https://www.mathnet.ru/eng/zvmmf/v46/i10/p1822
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Abstract page: | 1244 | Full-text PDF : | 270 | References: | 92 | First page: | 1 |
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