Method of asymptotic interpolation in problems of chemical hydrodynamics and mass transfer

被引：0
|
作者：
Vyaz'min A.V. [1 ]
Denisov I.A. [2 ]
Polyanin A.D. [3 ]
机构：
[1] Karpov Inst. of Physical Chemistry, State Sci. Ctr. of the Russ. Fed., Ul. Vorontsovo Pole 10, M.
[2] Moscow Physicotechnical Institute, Institutskii Proezd 9, Dolgoprudnyi, Moscow O.
[3] Institute of Problems of Mechanics, Russian Academy of Sciences, Pr. Vernadskogo 101, M.
来源：
Theoretical Foundations of Chemical Engineering | 2001年 / 35卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Mass Transfer; Numerical Computation; Reference Point; Approximate Solution; Dimensionless Parameter;
D O I：
10.1023/A:1005252031967
中图分类号：
学科分类号：
摘要：
A new modification of the asymptotic interpolation method is put forward, which uses the known two-sided asymptotics of the solution of a problem and the values of the function in an intermediate region. Special switching functions are suggested for joining the asymptotic solutions. Their constants are determined from their values at specified reference points. By way of an example, this method is applied to some problems of chemical hydrodynamics and mass transfer that have no exact analytical solution. Approximate solutions are obtained for the entire variation range of the characteristic dimensionless parameter. Their accuracy was estimated by collating them with the results of numerical computation.
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页码：1 / 8
页数：7
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