Some Explicit Analytical Solutions of Unsteady Compressible Flow-Reference-Cited by-同舟云学术

Some Explicit Analytical Solutions of Unsteady Compressible Flow

Published:1998-12-01 Issue:4 Volume:120 Page:760-764
ISSN:0098-2202
Container-title:Journal of Fluids Engineering
language:en
Short-container-title:

Author:

Cai Ruixian¹

Affiliation:

1. Institute of Engineering Thermophysics, Academia Sinica, P.O. Box 2706, Beijing 100080 China

Abstract

The analytical solutions of different flows are meaningful in theory. In addition, they are very useful to CFD also as the standard solutions to check the numerical solutions and to develop numerical differencing schemes, grid generation methods and so forth. However, very few analytical solutions have been known for the compressible flow, especially the unsteady flow. Some explicit analytical solutions of unsteady compressible flow have been derived since the early nineties and are given in this paper, which include the 1-D isentropic unsteady flow, 1-D unsteady flow with friction, heat transfer as well as with shock, and 2-D isentropic unsteady flow.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/120/4/760/5900656/760_1.pdf

Reference6 articles.

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2. Gong, Y., and Cai, R., 1989, “3D MSLM—A new Engineering Approach to the Inverse Problem of 3D Cascade,” ASME paper 89-GT-48.

3. Shapiro, A. H., 1954, The Dynamics and Thermodynamics of Compressible Fluid Flow, The Ronald Press, New York.

4. Shen M. , LiuQ., and ZhangZ., 1996, “Calculating 3-D Transonic Flow of Turbomachine in the Generalized von Mises Coordinates,” Scientia in China (Series E), Vol. 29, No. 4, pp. 325–332 (in Chinese).

5. Xu, J., et al., 1989, “Three Dimensional Imcompressible Flow Solution of an Axial Compressor Using Pseudostream-Functions Formulation,” ASME paper 89-GT-319.

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