Validity of Taylor's dissipation-viscosity independence postulate in variable-viscosity turbulent fluid mixtures
G. I. Taylor's postulate [Proc. R. Soc. A 151, 421 (1935)] that dissipation is independent of viscosity at high Reynolds numbers is the foundation of many single-fluid turbulence theories and closure models. The validity of this key postulate in an important class of flows, turbulent mixtures,...
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| Published in: | Physical review letters Vol. 101; no. 7; p. 074501 |
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| Language: | English |
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15-08-2008
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| Abstract | G. I. Taylor's postulate [Proc. R. Soc. A 151, 421 (1935)] that dissipation is independent of viscosity at high Reynolds numbers is the foundation of many single-fluid turbulence theories and closure models. The validity of this key postulate in an important class of flows, turbulent mixtures, is not yet clearly established. We devise a simple numerical experiment of decaying turbulence in a mixture of two fluids of vastly different viscosities to examine dissipation scaling. Initially, the two fluids are segregated, and dissipation is directly proportional to viscosity. As turbulence evolves and fluids mix, the velocity gradients rapidly adapt to the viscosity field, and within one-half eddy turnover time, dissipation-viscosity independence is established. Viscosity-weighted velocity-gradient skewness is shown to be constant, leading to the validity of Taylor's postulate in turbulent mixtures. |
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| AbstractList | G. I. Taylor's postulate [Proc. R. Soc. A 151, 421 (1935)] that dissipation is independent of viscosity at high Reynolds numbers is the foundation of many single-fluid turbulence theories and closure models. The validity of this key postulate in an important class of flows, turbulent mixtures, is not yet clearly established. We devise a simple numerical experiment of decaying turbulence in a mixture of two fluids of vastly different viscosities to examine dissipation scaling. Initially, the two fluids are segregated, and dissipation is directly proportional to viscosity. As turbulence evolves and fluids mix, the velocity gradients rapidly adapt to the viscosity field, and within one-half eddy turnover time, dissipation-viscosity independence is established. Viscosity-weighted velocity-gradient skewness is shown to be constant, leading to the validity of Taylor's postulate in turbulent mixtures. |
| ArticleNumber | 074501 |
| Author | Lee, Kurnchul Kerimo, Johannes Girimaji, Sharath S |
| Author_xml | – sequence: 1 givenname: Kurnchul surname: Lee fullname: Lee, Kurnchul organization: Department of Aerospace Engineering, Texas A & M University, College Station, Texas 77843-3141, USA – sequence: 2 givenname: Sharath S surname: Girimaji fullname: Girimaji, Sharath S – sequence: 3 givenname: Johannes surname: Kerimo fullname: Kerimo, Johannes |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/18764539$$D View this record in MEDLINE/PubMed |
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| Cites_doi | 10.1017/S0022112092002180 10.1103/PhysRevLett.69.1648 10.1017/S0022112083001159 10.1080/14685240601083251 10.1017/CBO9781139170666 10.1088/1468-5248/5/1/011 10.1063/1.864731 10.1006/jcph.2001.6790 10.1080/14685240701528551 10.1017/CBO9780511840531 10.1098/rspa.1935.0158 |
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| References | R. C. Reid (PhysRevLett.101.074501Cc11R1) 1987 PhysRevLett.101.074501Cc5R1 P. S. Bernard (PhysRevLett.101.074501Cc4R1) 2002 PhysRevLett.101.074501Cc2R1 PhysRevLett.101.074501Cc9R1 U. Frisch (PhysRevLett.101.074501Cc3R1) 1995 PhysRevLett.101.074501Cc8R1 PhysRevLett.101.074501Cc7R1 PhysRevLett.101.074501Cc6R1 PhysRevLett.101.074501Cc10R1 S. B. Pope (PhysRevLett.101.074501Cc1R1) 2000 PhysRevLett.101.074501Cc13R1 PhysRevLett.101.074501Cc12R1 |
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| Title | Validity of Taylor's dissipation-viscosity independence postulate in variable-viscosity turbulent fluid mixtures |
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