Theory for incompressible fluid turbulence

✍ Scribed by Francis J. Testa; Gerald Rosen

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 383 KB
• Volume: 297
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(74)90059-3

✦ Synopsis

The functional integral representation for the space-time Hopf characteristic functional osociated with boundary-free incompressible fluid turbulence i8 evaluated accurately to order R-=, where R is the dimensionless Reynolds number in the theory. This work extends the results obtained previously for C-dominant turbulence to the regime of experimentally accessible large Reynolds numbers. We obtain a characteristic functional of nonGauasian form as an asymptotically exact solution to the theory for large values of R. Two-point and three-point velocity correlation tensors of physical interest are derived from the characteristic functional.

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