- Title
- Estimation of mean turbulent kinetic energy and temperature variance dissipation rates using a spectral chart method
- Creator
- Lemay, Jean; Djenidi, Lyazid; Antonia, Robert
- Relation
- Physics of Fluids Vol. 32, Issue 5, no. 055109
- Publisher Link
- http://dx.doi.org/10.1063/5.0006923
- Publisher
- American Institute of Physics Publishing (AIP)
- Resource Type
- journal article
- Date
- 2020
- Description
- A method aimed at estimating 𝜀k and 𝜀θ, respectively, the mean dissipation rates of turbulent kinetic energy k and half the temperature variance ⟨𝜃2⟩/2, is developed for slightly heated turbulent flows of air. It is limited to a Prandtl number near unity and applicable to flows where temperature can be treated as a passive scalar. A significant advantage of the method is that 𝜀k and 𝜀θ can both be estimated from the measurement of a temperature frequency spectrum, Gθθ(f). The method relies on the collapse in the dissipative range of one-dimensional temperature spectra, ϕθ(k1η), when normalized with 𝜀θ, 𝜀k, and ν. This collapse ensues from a similarity analysis of scale-by-scale budgets of the second-order structure function for the temperature. A generic spectrum 𝜙𝜃𝐺(𝑘1𝜂), defined in the wavenumber range 0.07 ≤ k1η ≤ 0.7, is used to construct a spectral chart. The method has been tested in several flows and found to be reliable. In particular, it is tested on the axis of a slightly heated round jet, where 𝜀k and 𝜀θ can be estimated accurately via the budgets of k and ⟨𝜃2⟩/2, and the agreement between these estimates and the spectral chart results is almost perfect.
- Subject
- turbulent flow; temperature; spectral chart method; estimates
- Identifier
- http://hdl.handle.net/1959.13/1465002
- Identifier
- uon:47182
- Identifier
- ISSN:1070-6631
- Language
- eng
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