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Some geometrical properties of plane flows

Published online by Cambridge University Press:  24 October 2008

A. G. Hansen  and
M. H. Martin
A. G. Hansen
Affiliation:
Institute for Flud Dynamics and Applied MathematicsUniversity of MarylandCollege Park
M. H. Martin
Affiliation:
Institute for Flud Dynamics and Applied MathematicsUniversity of MarylandCollege Park
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Extract

The geometrical configuration consisting of five straight lines tangent to the stream line (ψ = const.), isobar (p = const.), isocline (θ = const.), isovel (q = const.) and isopycnic (ρ = const.) at a point P of the physical plane in the plane flow of a fluid has a number of interesting properties. The study of this geometric configuration for a wide class of ideal fluids (which includes polytropic gases and incompressible fluids), in particular its properties at sonic points, is the purpose of this paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 4 , October 1951 , pp. 763 - 776
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

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