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Journal ArticleDOI

On nonlinear K-l and K-ε models of turbulence

Charles G. Speziale
- 01 May 1987 - 
- Vol. 178, Iss: -1, pp 459-475
TLDR
In this paper, a nonlinear K-l and K-e model is proposed to predict the normal Reynolds stresses in turbulent channel flow much more accurately than the linear model, and the nonlinear model is shown to be capable of predicting turbulent secondary flows in non-circular ducts.
Abstract
The commonly used linear K-l and K-e models of turbulence are shown to be incapable of accurately predicting turbulent flows where the normal Reynolds stresses play an important role. By means of an asymptotic expansion, nonlinear K-l and K-e models are obtained which, unlike all such previous nonlinear models, satisfy both realizability and the necessary invariance requirements. Calculations are presented which demonstrate that this nonlinear model is able to predict the normal Reynolds stresses in turbulent channel flow much more accurately than the linear model. Furthermore, the nonlinear model is shown to be capable of predicting turbulent secondary flows in non-circular ducts - a phenomenon which the linear models are fundamentally unable to describe. An additional application of this model to the improved prediction of separated flows is discussed briefly along with other possible avenues of future research.

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Citations
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Book ChapterDOI

Turbulence Models for Sediment Transport Engineering

D. A. Lyn
TL;DR: The present chapter describes the standard turbulence models currently being applied to problems involving sediment transport, focusing on so-called two-equation models, but also discussing more briefly simpler models that might be used judiciously for special problems, as well as more advanced models that may find more practical application in the future.
Journal ArticleDOI

Numerical Investigation of Turbulent Forced Convection in Ducts with Rectangular and Trapezoidal Cross-Section Area by Using Different Turbulence Models

TL;DR: In this article, the development and application of turbulence models for forced convective heat transfer in ducts is discussed, and a numerical approach is based on the finite volume technique, and the SIMPLEC algorithm is used for handling the pressure-velocity coupling.
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CFD Analysis of a Thermal Plume and the Indoor Air Flow Using k-ε Models with Buoyancy Effects

TL;DR: In this paper, a thermal plume is calculated using the WET model and severalk-e models to simulate non-isothermal flows, which are characterized by strongly nonisotropic features of turbulence.
Journal ArticleDOI

Second-moment closure for three-dimensional turbulent flow around and within complex geometries

TL;DR: In this article, a full Reynolds-stress-transport model has been incorporated into a general 3D non-orthogonal finite-volume solver and applied to two representative 3D flows, one in a circular-to-rectangular transition duct and the other around a streamlined body at high incidence.

Swirling pipe flow with axial strain : experiment and large eddy simulation

TL;DR: A submitted manuscript is the version of the article upon submission and before peer-review as mentioned in this paper, while a published version is the final layout of the paper including the volume, issue and page numbers.
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.
Journal ArticleDOI

A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers

TL;DR: In this article, the three-dimensional, primitive equations of motion have been integrated numerically in time for the case of turbulent, plane Poiseuille flow at very large Reynolds numbers.
Journal ArticleDOI

Numerical investigation of turbulent channel flow

TL;DR: In this article, a large-scale flow field was obtained by directly integrating the filtered, three-dimensional, time dependent, Navier-Stokes equations, and small-scale field motions were simulated through an eddy viscosity model.
Book ChapterDOI

Computational Modeling of Turbulent Flows

TL;DR: In this article, it is shown that direct simulation is not an alternative for practical computation and that the various sophisticated closures suffer from essentially the same problems as the direct simulations and therefore, are limited to homogeneous situations.
Journal ArticleDOI

A Reynolds stress model of turbulence and its application to thin shear flows

TL;DR: In this paper, the authors provided a model of turbulence which effects closure through approximated transport equations for the Reynolds stress tensor the turbulence energy κ and e.g., the turbulent shear stress does not vanish where the mean rate of strain goes to zero.
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