Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed Flames
The characterisation of small-scale turbulence has been an active area of research for decades and this includes, particularly, the analysis of small-scale isotropy, as postulated by Kolmogorov. In particular, the question if the dissipation tensor is isotropic or not, and how it is related to the a...
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MDPI AG
2022-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/5/2275 |
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| author | Markus Klein Theresa Trummler Noah Urban Nilanjan Chakraborty |
| author_facet | Markus Klein Theresa Trummler Noah Urban Nilanjan Chakraborty |
| author_sort | Markus Klein |
| collection | DOAJ |
| description | The characterisation of small-scale turbulence has been an active area of research for decades and this includes, particularly, the analysis of small-scale isotropy, as postulated by Kolmogorov. In particular, the question if the dissipation tensor is isotropic or not, and how it is related to the anisotropy of the Reynolds stresses is of particular interest for modelling purposes. While this subject has been extensively studied in the context of isothermal flows, the situation is more complicated in turbulent reacting flows because of heat release. Furthermore, the landscape of Computational Fluid Dynamics is characterised by a multitude of methods ranging from Reynolds-averaged to Large Eddy Simulation techniques, and they address different ranges of scales of the turbulence kinetic energy spectrum. Therefore, a multiscale analysis of the anisotropies of Reynolds stress, dissipation and sub-grid scale tensor has been performed by using a DNS database of statistically planar turbulent premixed flames. Results show that the coupling between dissipation tensor and Reynolds stress tensor is weaker compared to isothermal turbulent boundary layer flows. In particular, for low and moderate turbulence intensities, heat release induces pronounced anisotropies which affect not only fluctuation strengths but also the characteristic size of structures associated with different velocity components. |
| first_indexed | 2024-03-09T20:49:21Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T20:49:21Z |
| publishDate | 2022-02-01 |
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| spelling | doaj.art-2fcd7a51c64040fea0b5ab8a8a90522e2023-11-23T22:38:13ZengMDPI AGApplied Sciences2076-34172022-02-01125227510.3390/app12052275Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed FlamesMarkus Klein0Theresa Trummler1Noah Urban2Nilanjan Chakraborty3Department of Aerospace Engineering, Bundeswehr University Munich, 85577 Neubiberg, GermanyDepartment of Aerospace Engineering, Bundeswehr University Munich, 85577 Neubiberg, GermanyDepartment of Aerospace Engineering, Bundeswehr University Munich, 85577 Neubiberg, GermanySchool of Engineering, Newcastle University, Newcastle NE1 7RU, UKThe characterisation of small-scale turbulence has been an active area of research for decades and this includes, particularly, the analysis of small-scale isotropy, as postulated by Kolmogorov. In particular, the question if the dissipation tensor is isotropic or not, and how it is related to the anisotropy of the Reynolds stresses is of particular interest for modelling purposes. While this subject has been extensively studied in the context of isothermal flows, the situation is more complicated in turbulent reacting flows because of heat release. Furthermore, the landscape of Computational Fluid Dynamics is characterised by a multitude of methods ranging from Reynolds-averaged to Large Eddy Simulation techniques, and they address different ranges of scales of the turbulence kinetic energy spectrum. Therefore, a multiscale analysis of the anisotropies of Reynolds stress, dissipation and sub-grid scale tensor has been performed by using a DNS database of statistically planar turbulent premixed flames. Results show that the coupling between dissipation tensor and Reynolds stress tensor is weaker compared to isothermal turbulent boundary layer flows. In particular, for low and moderate turbulence intensities, heat release induces pronounced anisotropies which affect not only fluctuation strengths but also the characteristic size of structures associated with different velocity components.https://www.mdpi.com/2076-3417/12/5/2275anisotropies of Reynolds stress tensordissipation tensor and subgrid scale tensormultiscale analysisturbulent premixed flames |
| spellingShingle | Markus Klein Theresa Trummler Noah Urban Nilanjan Chakraborty Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed Flames Applied Sciences anisotropies of Reynolds stress tensor dissipation tensor and subgrid scale tensor multiscale analysis turbulent premixed flames |
| title | Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed Flames |
| title_full | Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed Flames |
| title_fullStr | Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed Flames |
| title_full_unstemmed | Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed Flames |
| title_short | Multiscale Analysis of Anisotropy of Reynolds Stresses, Subgrid Stresses and Dissipation in Statistically Planar Turbulent Premixed Flames |
| title_sort | multiscale analysis of anisotropy of reynolds stresses subgrid stresses and dissipation in statistically planar turbulent premixed flames |
| topic | anisotropies of Reynolds stress tensor dissipation tensor and subgrid scale tensor multiscale analysis turbulent premixed flames |
| url | https://www.mdpi.com/2076-3417/12/5/2275 |
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