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A comparison of heisenberg's spectrum of turbulence with experiment

Published online by Cambridge University Press:  24 October 2008

Ian Proudman  and
G. K. Batchelor
Ian Proudman
Affiliation:
Trinity CollegeCambridge
G. K. Batchelor
Affiliation:
Trinity CollegeCambridge
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Abstract

In this paper, the theoretical double and triple velocity correlation functions, f(r), g(r) and h(r), which correspond to Heisenberg's spectrum of isotropic turbulence, are obtained numerically for two Reynolds numbers. One set of these correlations is for the limiting case of infinite Reynolds number. In addition, a method is developed for deriving the approximate form of the double correlations for any Reynolds number, which is not too small, from the corresponding correlations for infinite Reynolds number. These theoretical correlations are then compared with the results of experiment.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 1 , January 1951 , pp. 158 - 176
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

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