Prandtl and the Göttingen School

Details Prandtl and the Göttingen School Prandtl and the Göttingen School

2011-07-24

arxiv.org/abs/1107.4729v1

Physics

Fluid Dynamics

Draft of our Chapter for "A Voyage Through Turbulence", edited by, P. A. Davidson, Y Kaneda, H.K. Moffatt \& K.R. Sreenivasan,

Scientific paper

This is a historical review of "Prandtl and the G\"ottingen School" from his first work in 1898 to after WWII. We report the development of the boundary layer theory and the investigations that lead Ludwig Prandtl in the spring of 1945 to use a energy cascade model to derive for fully developed turbulence the Kolmogrov length scale. Working at the end of WWII he was not aware of the work by Kolmogorov. Thus Ludwig Prandtl was before Onsager, von Weiz\"acker, and Heisenberg in rederiving parts of K41 theory. In our historical analysis we rely heavily on exchanges between Ludwig Prandtl with Theodore von K\'arm\'an and Goeffrey Ingram Taylor and on the original notes by Ludwig Prandtl and others.

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