Turbulence and Transition Modeling for High-Speed Flows

Wilcox, David C.

doi:10.21236/ada266748

Cited by 135 publications

(206 citation statements)

References 2 publications

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“…This term couples the turbulent fluctuations to the mean flow by assuming that such fluctuations generate additional stresses or produce momentum transport [170]. There are two major methods to provide closure for the Reynolds stress terms in the Navier-Stokes equation, as fully described in [171] and [170]. However, to compute this term, additional equations are required.…”

Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

“…This term is the major problem of turbulence modeling because it requires to be solved in order to compute the mean flow field variables. This is achieved by multiplying the equation by a fluctuating property and performs time averaging for the resulting equation [171]. There are two major methods to provide closure for the Reynolds stress terms in the Navier-Stokes equation, as fully described in [171] and [170].…”

Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

“…However, to compute this term, additional equations are required. There are two major methods to provide closure for the Reynolds stress terms in the Navier-Stokes equation, as fully described in [171] and [170]. The first method is by taking the moments of the Navier-Stokes equation.…”

Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

“…The first method is by taking the moments of the Navier-Stokes equation. This is achieved by multiplying the equation by a fluctuating property and performs time averaging for the resulting equation [171]. This method leads to the development of second order closures, which include transport equations for all the components of the Reynolds stress term.…”

Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

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Wells turbine for wave energy conversion: a review

Shehata

Xiao

Saqr

et al. 2016

Int. J. Energy Res.

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Summary In the past 20 years, the use of wave energy systems has significantly increased, generally depending on the oscillating water column concept. Wells turbine is one of the most efficient oscillating water column technologies. This article provides an updated and a comprehensive account of the state‐of‐the‐art research on Wells turbine. Hence, it draws a roadmap for the contemporary challenges, which may hinder future reliance on such systems in the renewable energy sector. In particular, the article is concerned with the research directions and methodologies, which aim at enhancing the performance and efficiency of Wells turbine. The article also provides a thorough discussion of the use of CFD for performance modeling and design optimization of Wells turbine. It is found that a numerical model using the CFD code can be employed successfully to calculate the performance characteristics of W‐T as well as other experimental and analytical methods. The increase of research papers about CFD, especially in the last 5 years, indicates that there is a trend that considerably depends on the CFD method. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

Section: Turbulence Modeling Considerationsmentioning

confidence: 99%

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Wells turbine for wave energy conversion: a review

Shehata

Xiao

Saqr

et al. 2016

Int. J. Energy Res.

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“…The k-ω model was firstly created independently by Kolmogorov and later by Saffman (1970), Wilcox has continually refined and improved the model during the past three decades and demonstrated its accuracy for a wide range of turbulent flow (Wilcox and Alber, 1972;Wilcox, 1988;Wilcox, 2006). The latest version was put forward in 2006, termed as Wilcox (2006) k-ω model, the turbulent eddy viscosity:…”

Section: Governing Equations and Turbulence Modelsmentioning

confidence: 99%

Numerical investigation on two-dimensional boundary layer flow with transition

Zhao

Wang

Zong

2014

J. Marine. Sci. Appl.

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As a basic problem in many engineering applications, transition from laminar to turbulence still remains a difficult problem in computational fluid dynamics (CFD). A numerical study of one transitional flow in two-dimensional is conducted by Reynolds averaged numerical simulation (RANS) in this paper. Turbulence model plays a significant role in the complex flows' simulation, and four advanced turbulence models are evaluated. Numerical solution of frictional resistance coefficient is compared with the measured one in the transitional zone, which indicates that Wilcox (2006) k-ω model with correction is the best candidate. Comparisons of numerical and analytical solutions for dimensionless velocity show that averaged streamwise dimensionless velocity profiles correct the shape rapidly in transitional region. Furthermore, turbulence quantities such as turbulence kinetic energy, eddy viscosity, and Reynolds stress are also studied, which are helpful to learn the transition's behavior.

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Rheology and Hydrodynamics of Iron Ore Mineral Pulps during a Bioleaching Process in a Continuous Stirred‐Tank Reactor

et al. 2023

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The rheological response and the computational hydrodynamic continuous stirred‐tank behavior were analyzed to increase the understanding of the bioleaching process in mineral pulps. The rheological properties of the mineral pulps showed that a smaller particle size increases the magnitude of the rheological parameters, shortens the bioleaching process time, and, indirectly, increases the concentration of bacteria in the medium, thus augmenting the gel strength. The bioreactor hydrodynamics results revealed that the best dual‐impeller configuration corresponds to a Rushton (top)/Maxflo (bottom) configuration, generating power savings of ∼9 %. Finally, when analyzing apparent viscosity maps, velocity fields, and streamlines at different stirring speeds, enhanced hydrodynamic conditions were observed at 400 rpm.

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Turbulence and Transition Modeling for High-Speed Flows

Cited by 135 publications

References 2 publications

Wells turbine for wave energy conversion: a review

Wells turbine for wave energy conversion: a review

Numerical investigation on two-dimensional boundary layer flow with transition

Rheology and Hydrodynamics of Iron Ore Mineral Pulps during a Bioleaching Process in a Continuous Stirred‐Tank Reactor

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