About the prediction of turbulent prandtl and schmidt numbers from modeled transport equations

Jischa, Michael F.; Rieke, H. B.

doi:10.1016/0017-9310(79)90134-0

Cited by 127 publications

(36 citation statements)

References 7 publications

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“…where Pet = Pr g+~, CPe, )] }' (2s) (29) Prtoo is the value of Prt far away from the wall and C = 0.3 is a constant prescribing the spatial distribution of Prt versus Pet.…”

Section: The Turbulence Modelmentioning

confidence: 99%

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Numerical investigation of two-dimensional turbulent boundary-layer compressible flow with adverse pressure gradient and heat and mass transfer

Kafoussias

Xenos

2000

Acta Mechanica

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Summary. The effect of heat and mass transfer on the steady turbulent compressible boundary-layer flow with adverse pressure gradient are numerically studied. The Reynolds-averaged boundary-layer equations and their boundary conditions are transformed, in a suitable form for numerical solution, by using the compressible version of the Falkner-Skan transformation and the resulting coupled and nonlinear system of partial differential equations is solved using the Keller's-box method and a modified version of it. For the eddy kinematic viscosity the model developed by Cebeci and Smith is employed whereas for the turbulent Prandtl number model a modification of the extended Kays and Crawford's model is used. Numerical calculations are carried out for the case of air, at about free stream temperature of 300 ~ and for a linearly retarded flow, known as Howarth's flow when the porous limiting surface is adiabatic, heated or cooled. The porous surface is subjected to a continuous or localized suction/injection velocity and the influence of this velocity as well as of the free-stream Mach number and of the heat-transfer parameter on the turbulent boundary-layer and the separation point is examined. It is hoped that in the absence of detailed investigations into this problem, the obtained results, presented in the figures, are very interesting and give a clearer insight into the mechanism of controlling a turbulent boundary-layer compressible flow.

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“…where Pet = Pr g+~, CPe, )] }' (2s) (29) Prtoo is the value of Prt far away from the wall and C = 0.3 is a constant prescribing the spatial distribution of Prt versus Pet.…”

Section: The Turbulence Modelmentioning

confidence: 99%

“…This model was extended by Chen and Chiou [28] for liquid metal flow in pipes in incorporating the enthalpy thickness @ in turbulent Prandtl number Prt. Jischa and Rieke [29] developed a model for Prt from the modeled transport equations given by the expression 182.4 Prt = 0.9 -~ PrRx0.ss s .…”

Section: The Turbulence Modelmentioning

confidence: 99%

Numerical investigation of two-dimensional turbulent boundary-layer compressible flow with adverse pressure gradient and heat and mass transfer

Kafoussias

Xenos

2000

Acta Mechanica

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“…The formula of Yakhot et al 14) and the modified Jischa-Rieke models 10) in the VANTACY-II code have this additional term. Therefore, in this study, the model includes an additional term to reflect the molecular Prandtl number effect whereby the turbulent Prandtl number decreases with the molecular Prandtl number, especially in the low molecular Prandtl number fluids.…”

Section: ) Even Though the Results Of The Dns Domentioning

confidence: 99%

“…This code considered the anisotropy of the turbulent diffusion and neglected the effects of the secondary flow. On the other hand, the VANTACY-II code used the modified Jischa-Rieke 10) model which was a function of Pr and the Reynolds number (Re) as the turbulent Prandtl number. This model is as below,…”

Section: The Turbulent Prandtl Number In the Rod Bundle Geometrymentioning

confidence: 99%

The Turbulent Prandtl Number for Temperature Analysis in Rod Bundle Subchannels

Huh

KIM

Chung

2005

J. Nucl. Sci. Technol.

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The turbulent Prandtl number (Pr T ) model for the temperature field analysis in rod bundle subchannels is proposed based on the experimental data. The proposed turbulent Prandtl number is a function of the position and has the characteristic of an anisotropy which may not be found in simple geometries such as circular tubes and flat plates. Also, the proposed turbulent Prandtl number is modeled by considering the effects of the pitch to diameter (P=D) and the molecular Prandtl number (Pr). The turbulent temperature field is analyzed by a detailed analysis code. The Nusselt numbers (Nu) obtained by the new model are compared with those obtained by the well-known experimental correlations. The new turbulent Prandtl number model can predict the experimental data more accurately than the previous turbulent Prandtl number model.

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“…where Re is the Reynolds number and y is the distance to the wall [22,23]. The turbulent Prandtl number increases with decreasing Prandtl and Reynolds numbers.…”

Section: Turbulence Modelmentioning

confidence: 97%

A finite element model for the simulation of lost foam casting

Houzeaux

Codina

2004

Numerical Methods in Fluids

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SUMMARYIn this paper, we present a numerical model to simulate the lost foam casting process. We introduce this particular casting ÿrst in order to capture the di erent physical processes in play during a casting. We brie y comment on the possible physical and numerical models used to envisage the numerical simulation. Next we present a model which aims to solve 'part of' the complexities of the casting, together with a simple energy budget that enables us to obtain an equation for the velocity of the metal front advance. Once the physical model is established we develop a ÿnite element method to solve the governing equations. The numerical and physical methodologies are then validated through the solution of a two-and a three-dimensional example. Finally, we discuss brie y some possible improvements of the numerical model in order to capture more physical phenomena.

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About the prediction of turbulent prandtl and schmidt numbers from modeled transport equations

Cited by 127 publications

References 7 publications

Numerical investigation of two-dimensional turbulent boundary-layer compressible flow with adverse pressure gradient and heat and mass transfer

Numerical investigation of two-dimensional turbulent boundary-layer compressible flow with adverse pressure gradient and heat and mass transfer

The Turbulent Prandtl Number for Temperature Analysis in Rod Bundle Subchannels

A finite element model for the simulation of lost foam casting

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