Closure Problem of Turbulence Theory

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. The unpredictability and complicated form of the turbulent velocity field lead one to describe it by probability distributions over a large en semble of realizations. Even if the exact, detailed structure of a single realization could be measured, it would never be reproduced in any repeti tion of the experiment.