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Observations on the predictions of fully developed rotating pipe flow using differential and explicit algebraic Reynolds stress models
KTH, School of Engineering Sciences (SCI), Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0001-8692-0956
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-2711-4687
2006 (English)In: European jounal of mechanics. B, ISSN 0997-7546, Vol. 25, no 1, 95-112 p.Article in journal (Refereed) Published
Abstract [en]

The differences between two differential Reynolds stress models (DRSM) and their corresponding explicit algebraic Reynolds stress models (EARSM) are investigated by studying fully developed axially rotating turbulent pipe flow. The mean flow and the turbulence quantities are strongly influenced by the imposed rotation, and is well captured by the differential models as well as their algebraic truncations. All the tested models give mean velocity profiles that are in good qualitative agreement with the experimental data. It is demonstrated that the predicted turbulence kinetic energy levels vary dramatically depending on the diffusion model used, and that this is closely related to the model for the evolution of the length-scale determining quantity. Furthermore, the effect of the weak equilibrium assumption, underlying the EARSMs, and the approximation imposed for 3D mean flows on the turbulence levels are investigated. In general the predictions obtained with the EARSMs rather closely follow those of the corresponding DRSMs

Place, publisher, year, edition, pages
2006. Vol. 25, no 1, 95-112 p.
Keyword [en]
rotating pipe flow; swirling flow; Reynolds stress turbulence model
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-5410DOI: 10.1016/j.euromechflu.2005.03.004ISI: 000233196200007Scopus ID: 2-s2.0-27144456785OAI: oai:DiVA.org:kth-5410DiVA: diva2:9770
Note
QC 20100824Available from: 2006-03-08 Created: 2006-03-08 Last updated: 2010-12-06Bibliographically approved
In thesis
1. Modelling and simulation of turbulence subject to system rotation
Open this publication in new window or tab >>Modelling and simulation of turbulence subject to system rotation
2006 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

Simulation and modelling of turbulent flows under influence of streamline curvature and system rotation have been considered. Direct numerical simulations have been performed for fully developed rotating turbulent channel flow using a pseudo-spectral code. The rotation numbers considered are larger than unity. For the range of rotation numbers studied, an increase in rotation number has a damping effect on the turbulence. DNS-data obtained from previous simulations are used to perform a priori tests of different pressure-strain and dissipation rate models. Furthermore, the ideal behaviour of the coefficients of different model formulations is investigated. The main part of the modelling is focused on explicit algebraic Reynolds stress models (EARSMs). An EARSM based on a pressure strain rate model including terms that are tensorially nonlinear in the mean velocity gradients is proposed. The new model is tested for a number of flows including a high-lift aeronautics application. The linear extensions are demonstrated to have a significant effect on the predictions. Representation techniques for EARSMs based on incomplete sets of basis tensors are also considered. It is shown that a least-squares approach is favourable compared to the Galerkin method. The corresponding optimality aspects are considered and it is deduced that Galerkin based EARSMs are not optimal in a more strict sense. EARSMs derived with the least-squares method are, on the other hand, optimal in the sense that the error of the underlying implicit relation is minimized. It is further demonstrated that the predictions of the least-squares EARSMs are in significantly better agreement with the corresponding complete EARSMs when tested for fully developed rotating turbulent pipe flow.

Place, publisher, year, edition, pages
Stockholm: KTH, 2006. viii, 34 p.
Series
Trita-MEK, ISSN 0348-467X ; 2006:04
Keyword
Direct numerical simulations, least-squares method, turbulence model, nonlinear modelling, system rotation, streamline curvature, high-lift aerodynamics
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:kth:diva-3865 (URN)
Public defence
2006-03-17, Sal F2, Lindstedtsvägen 26, Stockholm, 10:15
Opponent
Supervisors
Note
QC 20100825Available from: 2006-03-08 Created: 2006-03-08 Last updated: 2010-08-25Bibliographically approved

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Wallin, StefanJohansson, Arne

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