The Turbulence Problem by Michael Eckert

Author:Michael Eckert
Language: eng
Format: epub
ISBN: 9783030318635
Publisher: Springer International Publishing

Kármán derived these results from a more general formalism. The -law for the spectral distribution of turbulent energy as a function of the wave-number k, for example, was merely a consequence of dimensional considerations. “That is the reason why it was independently found by Onsager (1945), Kolmogoroff (1941) and Weizsäcker (1946) (von Kármán 1948, p. 367)”. Batchelor’s and Kármán’s papers show that the “remarkable series of coincidences” became within few years subject of authoritative reviews and scrutiny.

The agreement between these theories also fostered an optimistic attitude with regard to the fundamental questions of the nature of turbulence. Heisenberg expressed with his “Remarks on the turbulence problem”, published in June 1948, the opinion that the basic physics of turbulence was no longer a mystery3:In earlier years Sommerfeld often discussed with his pupils the turbulence problem which was regarded for a long time as the unsolved fundamental problem of the newer hydrodynamics. In the meantime the statistical theory of turbulence founded about ten years ago by Taylor and v. Kármán has made so decisive progress that the turbulence problem in its physical core may arguably be regarded as solved.

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