Journal ArticleDOI
A second-moment closure study of rotating channel flow
TLDR
In this paper, the second-moment closure applied by Gibson & Launder (1978) to buoyant turbulent flows is used without modification to compute the effects of Coriolis forces on fully-developed flow in a rotating channel.Abstract:
The second-moment closure applied by Gibson & Launder (1978) to buoyant turbulent flows is here employed without modification to compute the effects of Coriolis forces on fully-developed flow in a rotating channel. The augmentation of turbulent transport on the pressure surface of the channel and its damping on the suction surface seem to be well captured by the computations, provided the flow near the suction surface remains turbulent. The rather striking alteration in shape of the mean velocity profile that occurs as the Rossby number is increased from 0.06 to 0.2 is shown to be explicable in terms of the modification to the intensity of the turbulent velocity fluctuations normal to the plate; for the larger value of Rossby number these fluctuations become larger than those in the flow direction causing what at low spin rates is a source of shear stress to become a sink.read more
Citations
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Modelling the pressure-strain correlation of turbulence - An invariant dynamical systems approach
TL;DR: In this paper, the authors examined the modeling of the pressure-strain correlation of turbulent flows from a basic theoretical standpoint with a view toward developing improved second-order closure models and proved that for plane homogeneous turbulent flows the equilibrium structure of this hierarchy of models is encapsulated by a relatively simple model which is only quadratically nonlinear in the anisotropy tensor.
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Analytical methods for the development of reynolds-stress closures in turbulence
TL;DR: The derivation of Reynolds-stress models for viscous incompressible turbulent flow on the basis of the Navier-Stokes and continuity equations is explored in an analytical review and the superior performance of the second-order models is demonstrated.
Journal ArticleDOI
Second-moment closure: present… and future?
TL;DR: In this paper, the authors summarized the present position of second-moment closure and outlined possible directions for future development, and the desirability of introducing a further second-rank tensor into the closure is considered; the conclusion reached is that, for most applications, the likely benefits would not justify the additional effort.
Second-moment closure: Present ... and future?
TL;DR: A simple form of second-moment treatment that has been widely used for computing industrial flows gives demonstrably superior predictive accuracy that any eddy—viscosity model, and the introduction of a second scale-related equation is arguably a more sensible approach.
Journal ArticleDOI
Turbulence Modeling in Rotating and Curved Channels: Assessing the Spalart-Shur Correction
TL;DR: The Spalart-Allmaras (SA) one-equation turbulence model as mentioned in this paper was developed for aerodynamic flow simulations and was shown to be quite competitive with advanced nonlinear and Reynolds-stress models and to be much more accurate than the original SA model.
References
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Journal ArticleDOI
Progress in the development of a Reynolds-stress turbulence closure
TL;DR: In this article, the authors developed a model of turbulence in which the Reynolds stresses are determined from the solution of transport equations for these variables and for the turbulence energy dissipation rate E. Particular attention is given to the approximation of the pressure-strain correlations; the forms adopted appear to give reasonably satisfactory partitioning of the stresses both near walls and in free shear flows.
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The law of the wake in the turbulent boundary layer
TL;DR: In this paper, the authors proposed to represent the mean-velocity profile by a linear combination of two universal functions, namely the law of the wall and the wake, and compared the results with experimental data.
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Ground effects on pressure fluctuations in the atmospheric boundary layer
M. M. Gibson,Brian Launder +1 more
TL;DR: In this article, a simple way to model the pressure-containing correlations which appear in the transport equations for Reynolds stress and heat flux was proposed, which accounts for gravitational effects and the modification of the fluctuating pressure field by the presence of a wall.
Journal ArticleDOI
Transport Equations in Turbulence
Bart J. Daly,Francis H. Harlow +1 more
TL;DR: Turbulence transport equations, describing the dynamics of transient flow of an incompressible fluid in arbitrary geometry, have been derived in such a manner as to incorporate the principles of invariance (tensor and Galilean) and universality as discussed by the authors.
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Statistische Theorie nichthomogener Turbulenz
TL;DR: In this article, a differentialgleichungen fur the statistischen Korrelationen zwischen zwei Komponenten der Geschwindigkeitsschwankungen hergeleitet and die Wirkung der in theseen Gleichungens auftretenden Glieder diskutiert is discussed.