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A Note on the Vorticity-Transport Theory of Turbulent Motion

Published online by Cambridge University Press:  24 October 2008

S. Goldstein
S. Goldstein
Affiliation:
St John's College
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Extract

1. G. I. Taylor has lately* pointed out how his vorticity-transport theory of turbulent motion may be extended to three dimensions. Of the typical term expressing the effect of turbulence on the mean motion he remarks: “In general it is so complicated that it is of little practical use, but in certain special cases considerable simplifications may occur.” In the special cases which he himself discussed the mean velocity was in the direction of the axis of x, and its magnitude was a function of y only, (x, y, z) being rectangular Cartesian coordinates.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 31 , Issue 3 , July 1935 , pp. 351 - 359
Copyright
Copyright © Cambridge Philosophical Society 1935

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References

* Taylor, G. I., Proc. Roy. Soc. A, 135 (1932), 685CrossRefGoogle Scholaret seq. See particularly pp. 697–700.

† Taylor, G. I., Phil. Trans. A, 215 (1915), 1–26.CrossRefGoogle Scholar

* Lamb, , Hydrodynamics (1932), pp. 204, 205.Google Scholar

* Lamb, , Hydrodynamics (1932), pp. 204, 205.Google Scholar

* See equations (2), § 146 of Lamb's Hydrodynamics or p. 42 of Cauchy's memoir Théorie de la propagation des ondes.