INFLUENCE OF A VOLUMETRIC CHEMICAL REACTION ON THE CONVECTIVE MASS TRANSFER NEAR A DROP

被引:0
|
作者
Akhmetov, Rustyam [1 ]
Kutluev, Ruslan [1 ]
机构
[1] Bashkortostan State Pedag Univ, Fac Math & Phys, Ufa 450000, Russia
关键词
Convective diffusion equation; the method of matched asymptotic expansions; the diffusion boundary layer; the saddle point; the stream function; quasilinear parabolic degenerate equation; the stability conditions for a difference scheme; ASYMPTOTICS;
D O I
10.1142/S0219455413400026
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The problem of steady convective mass transfer between a spherical drop and a flow with distributed chemical reaction is considered. It is investigated in case where both Peclet number and the rate constant of the chemical reaction tend to infinity. The quantity of rate constant of the chemical reaction and Peclet number is assumed to have a constant value. It is a boundary value problem for a quasilinear partial elliptical equation with a small parameter multiplying in higher derivatives. In the neighborhood of the saddle point the additional boundary layer arises. The asymptotics of solution is constructed in the neighborhood of the saddle point. The leading term of the asymptotic expansion of solution is constructed in the boundary layer near the rear stagnation point of the drop as the solution for the quasilinear ordinary differential equation.
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页数:8
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