- Title
- Boundedness of the mixed velocity-temperature derivative skewness in homogeneous isotropic turbulence
- Creator
- Tang, S. L.; Antonia, R. A.; Djenidi, L.; Danaila, L.; Zhou, Y.
- Relation
- Physics of Fluids Vol. 28, Issue 9
- Publisher Link
- http://dx.doi.org/10.1063/1.4961466
- Publisher
- AIP Publishing
- Resource Type
- journal article
- Date
- 2016
- Description
- The transport equation for the mean scalar dissipation rate ̅∈θ is derived by applying the limit at small separations to the generalized form of Yaglom's equation in two types of flows, those dominated mainly by a decay of energy in the streamwise direction and those which are forced, through a continuous injection of energy at large scales. In grid turbulence, the imbalance between the production of ∈θ due to stretching of the temperature field and the destruction of ∈θ by the thermal diffusivity is governed by the streamwise advection of ∈θ by the mean velocity. This imbalance is intrinsically different from that in stationary forced periodic box turbulence (or SFPBT), which is virtually negligible. In essence, the different types of imbalance represent different constraints imposed by the large-scale motion on the relation between the so-called mixed velocity-temperature derivative skewness ST and the scalar enstrophy destruction coefficient Gθ in different flows, thus resulting in non-universal approaches of ST towards a constant value as Reλ increases. The data for ST collected in grid turbulence and in SFPBT indicate that the magnitude of S,sub>T is bounded, this limit being close to 0.5.
- Subject
- boundedness; homogenous isotropic turbulence; Yaglom's equation; transport equation
- Identifier
- http://hdl.handle.net/1959.13/1336655
- Identifier
- uon:27672
- Identifier
- ISSN:1070-6631
- Rights
- The following article appeared in Physics of Fluids 2016 28:9 and may be found at http://dx.doi.org/10.1063/1.4961466. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.
- Language
- eng
- Full Text
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