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TECHNICAL NOTES

Some Algebraically Explicit Analytical Solutions of Unsteady Nonlinear Heat Conduction

[+] Author and Article Information
Ruixian Cai, Na Zhang

Institute of Engineering Thermophysics, Chinese Academy of Sciences, P.O. Box 2706, Beijing 100080, China

J. Heat Transfer 123(6), 1189-1191 (Mar 05, 2001) (3 pages) doi:10.1115/1.1392990 History: Received May 17, 2000; Revised March 05, 2001
Copyright © 2001 by ASME
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References

Kirchhoff, G., 1894, Vorlesungen über die Theorie der Warme, Barth, Leipzig.
Özisik, M. N., 1980, Heat Conduction, International Textbook Co., Scranton, Pa.
Cai,  R., 1998, “Some Analytical Solutions of Unsteady Compressible Flow,” ASME J. Fluids Eng., 120, pp. 760–764.
Cai, R., Jiang, H., and Sun, C., 1984, “Some Analytical Solutions Applicable to Verify Three-Dimensional Numerical Methods in Turbomachines,” MechE Conf. Publications C80/84, pp. 255–263.
Zhu,  S., and Liu,  Z., 1988, “An Investigation of Numerical Method of Three-Dimensional Flow Field in the Blade Passage of Centrifugal Pump (Compared with Analytical Solution),” Journal of Engg. Thermophysics, 9, pp. 242–244 (in Chinese).
Xu, J., Shi, J., and Ni, W., 1989, “Three Dimensional Imcompressible Flow Solution of an Axial Compressor Using Pseudostream-Functions Formulation,” ASME Paper 89-GT-319.
Gong, Y., and Cai, R., 1989, “3D MSLM—A new Engineering Approach to the Inverse Problem of 3D Cascade,” ASME Paper 89-GT-48.
Shen,  M., Liu,  Q., and Zhang,  Z., 1996, “Calculating Three-Dimensional Transonic Flow of Turbomachine in the Generalized von Mises Coordinates,” Scientia in China (Series E), 29, pp. 325–332 (in Chinese).

Figures

Grahic Jump Location
The typical diagram of Eq. (1)
Grahic Jump Location
The typical diagram of Eq. (2)
Grahic Jump Location
The typical diagram of Eq. (4)
Grahic Jump Location
The typical diagram of Eq. (4a)
Grahic Jump Location
The typical diagram of Eq. (6)
Grahic Jump Location
The typical diagram of Eq. (6a)

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