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An Iteration Process for the Solution of the Prandtl-Meyer Expansion

Published online by Cambridge University Press:  04 July 2016

A. R. Collar
A. R. Collar *
Affiliation:
Department of Aeronautical Engineering, University of Bristol
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Extract

In the Journal of the Royal Aeronautical Society, November 1959, the writer described an iteration process for the solution of the equations for plane oblique shock waves. Iteration methods avoid the difficulty of reading a solution from a chart; or, given a chart, provide a means of checking such a reading and, usually, of improving the accuracy to any desired degree.

As with plane oblique shocks, it is usual to use a chart to obtain the solution of a problem involving a Prandtl-Meyer expansion fan. The present note proposes an iteration process to avoid the use of a Prandtl-Meyer chart; or, given such a chart, offers the possibility of improvement in the accuracy of the solution obtained by reading from it, the limit being set by the accuracy of the trigonometric tables used.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 65 , Issue 605 , May 1961 , pp. 357 - 359
Copyright
Copyright © Royal Aeronautical Society 1961

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References

1.Collar, A. R. (1959). Iterative Solutions of the Equations for Plane Oblique Shock Waves. Journal of the Royal Aeronautical Society, November 1959.CrossRefGoogle Scholar