Nonlinear, Nonlocal and Fractional Turbulence by Peter William Egolf & Kolumban Hutter

Author:Peter William Egolf & Kolumban Hutter
Language: eng
Format: epub
ISBN: 9783030260330
Publisher: Springer International Publishing

(526a,b)

Transforming this closure back to the original non-self-similar coordinates shows Eq. (525) in the form

(527a,b)

By substituting (522a,d, and e), it follows that

(528)

which simplifies to

(529)

where the minimum values in space x 2min and average velocity (which are zero) were introduced to make Galilean invariance visible.

This important result leads us to the following conceptually significant:

Theorem 2

There exists an elementary turbulent flow configuration (wake flow behind a cylinder) where basic physical laws prove that its Reynolds shear stress is a long-range nonlocal functional of the space coordinates and the average downstream velocity.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.