Exact solutions of double diffusive convection in cylindrical coordinates with Le=1

被引：6

作者：

Cai, Ruixian

Gou, Chenhua

机构：

[1] Chinese Acad Sci, Inst Engn Thermophys, Beijing 100080, Peoples R China

[2] Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2006年 / 49卷 / 21-22期

基金：

中国国家自然科学基金;

关键词：

analytical solution; double diffusive convection; heat and mass transfer; nonlinear;

D O I：

10.1016/j.ijheatmasstransfer.2006.03.040

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The unsteady geometrical 2D governing equation set for the double diffusive convection-a very complicated nonlinear partial differential equation set with 4 variables-is solved analytically in the cylindrical coordinates. Two special exact solutions describing the convection in a cylindrical tube and a circular tube respectively are derived with an extraordinary method of separating variables and some other skills. The solutions are valuable for the development of heat and mass transfer theory. Moreover, as benchmark solutions, they are very useful for the computational heat and mass transfer to check the accuracy, convergence and effectiveness of various numerical computation methods. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：3997 / 4002

页数：6

共 22 条

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