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Progress in the Statistical Theory of Turbulence

von Kármán, Theodore (1948) Progress in the Statistical Theory of Turbulence. Proceedings of the National Academy of Sciences of the United States of America, 34 (11). pp. 530-539. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:KARpnas48

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Abstract

The fundamental notion of statistical mean values in fluid mechanics was first introduced by Reynolds. His most important contributions were the definition of the mean values for the so-called Reynolds' stresses and the recognition of the analogy between the transfer of momentum, heat and matter in the turbulent motion. In the decades following Reynolds' discoveries, the turbulence theory was directed toward finding semi-empirical laws for the mean motion by methods loaned from the kinetic theory of gases. Prandtl's ideas on momentum transfer and Taylor's suggestions concerning vorticity transfer belonged to the most important contributions of this period. I believe that my formulation of the problem by the application of the similarity principle has the merit to be more general and independent of the methods of the kinetic theory of gases. This theory led to the discovery of the logarithmic law of velocity distribution in shear motion for the case of homologous turbulence.


Item Type:Article
Additional Information:Copyright © 1948 by the National Academy of Sciences Communicated August 2, 1948 Presented at the Heat Transfer and Fluid Mechanics Institute, Los Angeles, California, June 23, 1948.
Record Number:CaltechAUTHORS:KARpnas48
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KARpnas48
Alternative URL:http://www.pnas.org/content/vol34/issue11/
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5681
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:27 Oct 2006
Last Modified:26 Dec 2012 09:14

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