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LES scrutiny of non-linear k-ε-ζ-f model sensitized to rotation

DOI: 10.1615/ICHMT.2015.THMT-15.700
pages 359-362

A. Salvagni
Dipartimento di Ingegneria Meccanica e Aerospaziale, 'Sapienza' Universita di Roma, Via Eudossiana 18, 00164 Roma, Italy

Domenico Borello
Dipartimento di Ingegneria Meccanica e Aerospaziale, 'Sapienza' Università di Roma, Via Eudossiana 18, 00164 Roma, Italy

E. Properzi
Dipartimento di Ingegneria Meccanica e Aerospaziale, 'Sapienza' Universita di Roma, Via Eudossiana 18, 00164 Roma, Italy

K. Hanjalic
Department of Multi-scale Physics, Faculty of Applied Sciences, Delft University of Technology, The Netherlands and Novosibirsk State University, Russia

F. Rispoli
Dipartimento di Ingegneria Meccanica e Aerospaziale, 'Sapienza' Universita di Roma, Via Eudossiana 18, 00164 Roma, Italy

Résumé

We scrutinize an updated version of the non-linear (quadratic) k-ε-ζ-f aiming at sensitizing the model to the effect of rotation. This objective was obtained by imposing that Cμ coefficient depends on the strain and vorticity tensors, the latter explicitly including solid body rotation. The model was tested on plane channel and square-sectioned duct flows. Results are assessed against DNS literature data and properly developed LES computations. We demonstrate that, when considering the channel flows, the developed formulation is able to accurately reproduce flow and turbulent variables at various angular velocity regimes. Good predictions are also obtained for the duct flow, where the flow is subjected to the mutual influence of rotation and near-wall turbulence anisotropy. In particular, the non-linear rotation-sensitized model is able to reproduce the near-wall turbulent kinetic energy distribution close to the suction side, returning a zero value in the mid-span and a small peak close to the vertex on the suction side. Budgets analysis of turbulent kinetic energy demonstrates that the proposed model is able to properly reproduce any of the terms in the k-equation.

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