Asymptotic behavior of the solution to a convection-diffusion problem with bulk chemical reaction in the wake of a particle
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 834-847

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The problem of steady convective mass transfer between a particle and a continuum with a nonlinear bulk chemical reaction is considered for the case when the Peclet number $\operatorname{Pe}$ and the rate constant $k_\nu$ of the reaction tend to infinity. An asymptotic solution with respect to a small parameter $\varepsilon= \operatorname{Pe}^{-1/3}$ is obtained in the wake of the particle.
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     author = {R. G. Akhmetov},
     title = {Asymptotic behavior of the solution to a~convection-diffusion problem with bulk chemical reaction in the wake of a~particle},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {46},
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R. G. Akhmetov. Asymptotic behavior of the solution to a convection-diffusion problem with bulk chemical reaction in the wake of a particle. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 5, pp. 834-847. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_5_a5/