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A simple analytical solution to an unsteady compressible homentropic flow problem with a zero spatial pressure gradient

Published online by Cambridge University Press:  04 July 2016

W. A. Woods
W. A. Woods*
Affiliation:
University of Liverpool
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Extract

Numerical solutions to unsteady flow problems have been developed, and often it is not possible to carry out a direct check on their accuracy. However, such a check was given in Ref. 3 using an analytical solution for zero spatial velocity gradient. The object of the present note is to present a different simple analytical solution which can be used as a special case for checking the accuracy of a numerical solution. Also, the solution is of interest itself as it corresponds to certain gas dynamic problems.

Type
Research Article
Information
The Aeronautical Journal , Volume 76 , Issue 737 , May 1972 , pp. 318 - 319
Copyright
Copyright © Royal Aeronautical Society 1972 

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References

1. Benson, R. S., Garg, R. D. and Woollatt, D. A numerical solution of unsteady problems. Int Journal Mech Sci, Vol 6, p. 117, 1964.Google Scholar
2. Manning, J. R. Computerised method of characteristics calculations for unsteady pneumatic line flows. Journal Basic Eng. December 1968.Google Scholar
3. Woods, W. A. and Daneshyar, H. Boundary conditions and initial value lines for unsteady homentropic flow calculations. Aeronautical Quarterly, Vol XXI, pp. 145—162, 1970.Google Scholar