Some Explicit Analytical Solutions of Unsteady Compressible Flow

[+] Author and Article Information
Ruixian Cai

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

J. Fluids Eng 120(4), 760-764 (Dec 01, 1998) (5 pages) doi:10.1115/1.2820735 History: Received June 25, 1997; Revised December 04, 1997; Online December 04, 2007


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.

Copyright © 1998 by The American Society of Mechanical Engineers
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