Analysis and modelling of the relation between the shear rate and Reynolds stress tensors in transitional boundary layers
- Author
- Davide Lengani, Daniele Simoni, Slawomir Kubacki (UGent) and Erik Dick (UGent)
- Organization
- Abstract
- A non-linear eddy-viscosity transition model is presented, tuned by a large experimental data set describing transitional boundary layers. Data have been acquired by TR-PIV on a flat plate placed in a 2D converging-diverging channel with variable opening angle, allowing variation of the adverse pressure gradient, the free-stream turbulence intensity and the flow Reynolds number. Overall, 48 different combinations of these flow parameters encompass different modes of transition from bypass to separated-flow mechanisms, thus allowing fine tuning of the model, spanning significantly different conditions. The model is tuned locally as a function of the turbulent kinetic energy, a Reynolds number based on the wall distance and the l(2)-norm of the shear rate tensor. A first correlation determines the rotation for alignment of the principal axes of the shear and stress tensors. By a second correlation, the eigenvalues of the stress tensor are obtained. The non-linear eddy-viscosity relation reproduces the anisotropy of the turbulence field observed for both bypass and separated-flow transitional cases. The relation has been applied to another experimental data set that did not participate to the fitting of the model and that is characterized by a different range of Reynolds number and turbulence intensity and a significantly stronger adverse pressure gradient with respect to the tuning dataset. Such application further strengthens the capability of the proposed correlations, that can easily be implemented in existing CFD solvers.
- Keywords
- Transitional boundary layer, Principal axis analysis, Reynolds stress modelling, TURBULENCE, PROGRESS
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8663589
- MLA
- Lengani, Davide, et al. “Analysis and Modelling of the Relation between the Shear Rate and Reynolds Stress Tensors in Transitional Boundary Layers.” INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, vol. 84, 2020, pp. 1–12, doi:10.1016/j.ijheatfluidflow.2020.108615.
- APA
- Lengani, D., Simoni, D., Kubacki, S., & Dick, E. (2020). Analysis and modelling of the relation between the shear rate and Reynolds stress tensors in transitional boundary layers. INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 84, 1–12. https://doi.org/10.1016/j.ijheatfluidflow.2020.108615
- Chicago author-date
- Lengani, Davide, Daniele Simoni, Slawomir Kubacki, and Erik Dick. 2020. “Analysis and Modelling of the Relation between the Shear Rate and Reynolds Stress Tensors in Transitional Boundary Layers.” INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW 84: 1–12. https://doi.org/10.1016/j.ijheatfluidflow.2020.108615.
- Chicago author-date (all authors)
- Lengani, Davide, Daniele Simoni, Slawomir Kubacki, and Erik Dick. 2020. “Analysis and Modelling of the Relation between the Shear Rate and Reynolds Stress Tensors in Transitional Boundary Layers.” INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW 84: 1–12. doi:10.1016/j.ijheatfluidflow.2020.108615.
- Vancouver
- 1.Lengani D, Simoni D, Kubacki S, Dick E. Analysis and modelling of the relation between the shear rate and Reynolds stress tensors in transitional boundary layers. INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW. 2020;84:1–12.
- IEEE
- [1]D. Lengani, D. Simoni, S. Kubacki, and E. Dick, “Analysis and modelling of the relation between the shear rate and Reynolds stress tensors in transitional boundary layers,” INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, vol. 84, pp. 1–12, 2020.
@article{8663589, abstract = {{A non-linear eddy-viscosity transition model is presented, tuned by a large experimental data set describing transitional boundary layers. Data have been acquired by TR-PIV on a flat plate placed in a 2D converging-diverging channel with variable opening angle, allowing variation of the adverse pressure gradient, the free-stream turbulence intensity and the flow Reynolds number. Overall, 48 different combinations of these flow parameters encompass different modes of transition from bypass to separated-flow mechanisms, thus allowing fine tuning of the model, spanning significantly different conditions. The model is tuned locally as a function of the turbulent kinetic energy, a Reynolds number based on the wall distance and the l(2)-norm of the shear rate tensor. A first correlation determines the rotation for alignment of the principal axes of the shear and stress tensors. By a second correlation, the eigenvalues of the stress tensor are obtained. The non-linear eddy-viscosity relation reproduces the anisotropy of the turbulence field observed for both bypass and separated-flow transitional cases. The relation has been applied to another experimental data set that did not participate to the fitting of the model and that is characterized by a different range of Reynolds number and turbulence intensity and a significantly stronger adverse pressure gradient with respect to the tuning dataset. Such application further strengthens the capability of the proposed correlations, that can easily be implemented in existing CFD solvers.}}, articleno = {{108615}}, author = {{Lengani, Davide and Simoni, Daniele and Kubacki, Slawomir and Dick, Erik}}, issn = {{0142-727X}}, journal = {{INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW}}, keywords = {{Transitional boundary layer,Principal axis analysis,Reynolds stress modelling,TURBULENCE,PROGRESS}}, language = {{eng}}, pages = {{108615:1--108615:12}}, title = {{Analysis and modelling of the relation between the shear rate and Reynolds stress tensors in transitional boundary layers}}, url = {{http://doi.org/10.1016/j.ijheatfluidflow.2020.108615}}, volume = {{84}}, year = {{2020}}, }
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