Prandtl and the Göttingen School
Abstract
This is a historical review of "Prandtl and the Göttingen 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 Weizäcker, and Heisenberg in rederiving parts of K41 theory. In our historical analysis we rely heavily on exchanges between Ludwig Prandtl with Theodore von Kármán and Goeffrey Ingram Taylor and on the original notes by Ludwig Prandtl and others.
 Publication:

arXiv eprints
 Pub Date:
 July 2011
 DOI:
 10.48550/arXiv.1107.4729
 arXiv:
 arXiv:1107.4729
 Bibcode:
 2011arXiv1107.4729B
 Keywords:

 Physics  Fluid Dynamics;
 Condensed Matter  Statistical Mechanics;
 Nonlinear Sciences  Pattern Formation and Solitons;
 Physics  History and Philosophy of Physics
 EPrint:
 Draft of our Chapter for "A Voyage Through Turbulence", edited by, P. A. Davidson, Y Kaneda, H.K. Moffatt \&