Journal article
Theory for incompressible fluid turbulence
Journal of the Franklin Institute, v 297(2), pp 127-133
1974
Abstract
The functional integral representation for the space-time Hopf characteristic functional associated with boundary-free incompressible fluid turbulence is evaluated accurately to order R
-2, 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 non-Gaussian 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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Details
- Title
- Theory for incompressible fluid turbulence
- Creators
- Francis J. Testa - Drexel UniversityGerald Rosen - Drexel University
- Publication Details
- Journal of the Franklin Institute, v 297(2), pp 127-133
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1974S282100004
- Scopus ID
- 2-s2.0-0016026422
- Other Identifier
- 991019173741004721