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A Scale-Adaptive Turbulence Model Based on the k-Equation and Recalibrated Reynolds Stress Constitutive Relation

Journal of Fluids Engineering, 2016
An algebraic relationship between turbulent dissipation rate and von Karman length are used to dismiss the transport equation of turbulent dissipation rate in standard k−ε (SKE) turbulence model. Meanwhile, a recalibrated Bradshaw's assumption is built based on the data from a boundary layer flow of turbulent flat plate simulated by direct numerical ...
Yang Zhang, Jun-Qiang Bai, Jing-Lei Xu
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Estimation of a Turbulence Model in Cavitation Effect on the Reynolds Stress Equation with Rotor Vibrations

50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2012
The objectives of the study are to find a computational method to realize the cavitation flows under a variable rotational motion and develop a turbulence model to describe this phenomenon. We propose an integral model (closure) in the momentum equation and obtain information about the intensity of correlations in the rotational turbulence model.
Yasuo Obikane   +3 more
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Numerical simulation of strongly swirling turbulent flows in a liquid-liquid hydrocyclone using the Reynolds stress transport equation model

Science in China Series E: Technological Sciences, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Yaojun, Zhou, Lixing, Shen, Xiong
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Improvement of the two-fluid momentum equation using a modified Reynolds stress model for horizontal turbulent bubbly flows

Chemical Engineering Science, 2017
Abstract Two-fluid equations are widely used for practical applications involving multi-phase flows in chemical reactor, nuclear reactor, desalination systems, boilers, and internal combustion engines. The popular two-fluid equation for a gas-liquid two-phase flow is based on the assumption of interpenetrating continua.
Lee, Seung-Jun   +2 more
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Shear-free turbulent boundary layers. Part 2. New concepts for Reynolds stress transport equation modelling of inhomogeneous flows

Journal of Fluid Mechanics, 1995
Models for the dissipation tensor and (slow) pressure–strain terms of the Reynolds stress transport equations are presented which are applicable near boundaries. These models take into account the large inhomogeneity and anisotropy that can be present near walls and surfaces, and are inspired by the physical insights developed in Part 1 of this paper ...
Blair Perot, Parviz Moin
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Reynolds Stress Model Based on the RDT Equations and Turbulence Dynamics in the Aerodynamic Nozzle

2009
The well known challenge of turbulence modeling is the inclusion of the effects of the large-scale structure in the one-point model equations. We proposed an approach [1,2] to the Reynolds stresses modeling that is based on an unclosed equation in terms of the spectral tensorr \(\Phi_{i,j}(\vec{k})\) deduced in [3]:
V. L. Zimont, V. A. Sabelnikov
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DEVELOPMENT OF A REYNOLDS STRESS MODEL WITH A CROSS DIFFUSION OFκIN THEϵEQUATION

International Journal of Computational Fluid Dynamics, 1994
SUMMARY This study intends to improve the predictability of the existing second-order closure turbulence models without tuning the model constants. For this purpose, a Reynolds stress model with a cross diffusion of κ in the ϵ equation is derived based on the physically more realistic assumption that small turbulent eddies can be anisotropic.
R. R. HWANG, Y. F. PENG
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Numerical study on mixing of oscillating quasi-planar jets with low Reynolds number turbulent stress and heat flux equation models

Nuclear Engineering and Design, 2000
A comparative investigation was conducted on the mechanistic numerical simulation of mixing of non-isothermal, quasi-planar jets incorporating low Reynolds number turbulent stress and heat flux equation models (LRSFM) and an experiment. A water test facility with three vertical jets, the unheated in between two heated jets, simulated convective mixing ...
Motohiko Nishimura   +3 more
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Derivation of a model Reynolds-stress transport equation using the renormalization of the eddy-viscosity-type representation

Physics of Fluids A: Fluid Dynamics, 1993
Terms in an asymptotic expansion for the Reynolds stress with the eddy-viscosity approximation as the leading part are summed up partially but infinitely. This renormalization procedure leads to a model Reynolds-stress transport equation. The equation is shown to retain the important structures of the counterparts in the conventional second-order ...
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