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Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle
Authors:R. G. Akhmetov
Affiliation:(1) 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.
Keywords:convective diffusion problem in the wake of a spherical particle  asymptotic expansion of solutions  substantiation of asymptotic expansions  method of matched asymptotic expansions
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