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A note on a breakdown of the multiplicative composition of inner and outer expansions

Published online by Cambridge University Press:  29 March 2006

Wilhelm Schneider
Wilhelm Schneider
Affiliation:
DFVLR-Institut für Theoretische Gasdynamik, Aachen, Germany
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Abstract

It is shown that the multiplicative rule of the method of matched asymptotic expansions fails under certain conditions. The velocity distribution in front of an elliptic airfoil is given as an example. The reason for the breakdown is explained by inspecting the usual formal justification of multiplicative composition.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 4 , 7 August 1973 , pp. 785 - 789
Copyright
© 1973 Cambridge University Press

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References

Lamb, H. 1932 Hydrodynamics. Dover.
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.