The asymptotic expansions of the solution for the boundary value problem to a convective diffusion equation with volume chemical reaction near a spherical drop

R.G Akhmetov

doi:10.1016/j.cnsns.2010.04.051

The asymptotic expansions of the solution for the boundary value problem to a convective diffusion equation with volume chemical reaction near a spherical drop

R.G Akhmetov

https://doi.org/10.1016/j.cnsns.2010.04.051

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Journal: Communications in Nonlinear Science and Numerical Simulation	Publication Date: May 6, 2010
Citations: 3

Affiliation: M. Akmullah Bashkir State Pedagogical University

#Spherical Drop #Volume Chemical Reaction + Show 8 more

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Abstract

The paper deals with a boundary value problem for a quasilinear partial elliptical equation. The equation describes a stationary process of convective diffusion near a spherical drop and takes into account the value of a chemical reaction for large Peclet numbers ( Pe). For the problem considered, an asymptotic expansions (AE) of solution on the small parameter ( ε = Pe −1/2) is obtained near a spherical drop.

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