✦ LIBER ✦

Three related proposals for a theoretical definition of turbulence

✍ Scribed by A. Muriel

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 808 KB
Volume: 388
Category: Article
ISSN: 0378-4371
DOI: 10.1016/j.physa.2008.10.036

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✦ Synopsis

We pull together some developments in turbulence research to make three propositions:

(1) when the steady-state solution of any transport equation produces multi-valued velocity fields, the system described is turbulent, (2) turbulent-laminar transitions are marked by the occurrence of a singularity in the derivative of velocity with respect to time, (3) the onset of turbulence in noble gases may be described quantum mechanically using the cell model of a gas, producing two testable laws describing the critical pressure of a turbulent gas.

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