Structure of an exact solution to a nonlinear diffusion equation

被引：1

作者：

Babenko, Yu. I. ^{[1
]}

Ivanov, E. V. ^{[2
]}

机构：

[1] Russian Sci Ctr Appl Chem, St Petersburg, Russia

[2] St Petersburg State Chem Pharmaceut Acad, St Petersburg, Russia

来源：

THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING | 2011年 / 45卷 / 03期

关键词：

Exact Solution; Domain Boundary; Fractional Derivative; Dimensional Theory; Diffusion Flux;

D O I：

10.1134/S0040579511020047

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

Two problems are considered that describe the processes of impregnation and extraction in a semi-infinite porous solid in the case where a diffusion coefficient linearly depends on concentration. Using these problems as an example, it is shown that the method of fractional differentiation makes it possible to establish the structure of an exact solution for a diffusion flux on the domain boundary without predetermining a concentration field. Information obtained in this case is more detailed than that in the use of the dimensional theory.

引用

页码：299 / 303

页数：5

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