1996
DOI: 10.1115/1.2817372
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Modeling Reynolds-Number Effects in Wall-Bounded Turbulent Flows

Abstract: Recent experimental and direct numerical simulation data of two-dimensional, isothermal wall-bounded incompressible turbulent flows indicate that Reynolds-number effects are not only present in the outer layer but are also quite noticeable in the inner layer. The effects are most apparent when the turbulence statistics are plotted in terms of inner variables. With recent advances made in Reynolds-stress and near-wall modeling, a near-wall Reynolds-stress closure based on a recently proposed quasi-linear model … Show more

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Cited by 27 publications
(26 citation statements)
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“…12 å dissipation rate of k å ij dissipation rate tensor å ijk cyclic tensor å w wall value of å å reduced å å À 2ík= y 2 å reduced å å À 2í(@ k 1=2 =@x i ) 2 ae rotational strain invariant (2W Ã ij W Ã ij ) 1=2 ç mean strain invariant (2S Ã ij S Ã ij ) 1=2 í fluid kinematic viscosity í t eddy viscosity î near-wall correction function Ð stress invariant b ij b ij Ð ij velocity pressure gradient correlation tensor Ð P ij near-wall correction for pressure diffusion Ð w ij near-wall correction tensor r fluid density ó k model constant assigned a value of 1 ó å model constant assigned a value of 1.45 (1.40) ô rx rx component of the shear stress ô rè rè component of the shear stress Ù rotation rate or angular velocity of pipe Ù i rotation vector…”
Section: B Ijmentioning
confidence: 97%
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“…12 å dissipation rate of k å ij dissipation rate tensor å ijk cyclic tensor å w wall value of å å reduced å å À 2ík= y 2 å reduced å å À 2í(@ k 1=2 =@x i ) 2 ae rotational strain invariant (2W Ã ij W Ã ij ) 1=2 ç mean strain invariant (2S Ã ij S Ã ij ) 1=2 í fluid kinematic viscosity í t eddy viscosity î near-wall correction function Ð stress invariant b ij b ij Ð ij velocity pressure gradient correlation tensor Ð P ij near-wall correction for pressure diffusion Ð w ij near-wall correction tensor r fluid density ó k model constant assigned a value of 1 ó å model constant assigned a value of 1.45 (1.40) ô rx rx component of the shear stress ô rè rè component of the shear stress Ù rotation rate or angular velocity of pipe Ù i rotation vector…”
Section: B Ijmentioning
confidence: 97%
“…The NWRS has been given by So et al [12] for nonrotating flows. Since the additional terms due to system rotation appearing in equation (3) and in the pressure strain model [13] are of order y 2 ; therefore, to order y, the rotation terms do not affect the near-wall behaviour of the modelled equations.…”
Section: Reynolds Stress Closurementioning
confidence: 99%
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“…As noted, the formulation applied here does not include any wall 901 refelction effects, even if they did have a decisive influence on the accuracy of both the linear 902 models, GL and NR. Efforts have been made in the past to include wall reflection effects in 903 near-wall closures for the SSG model, which have not been considered here (So et al, 1994). 904…”
mentioning
confidence: 99%
“…Basically, the near-wall effects are treated as lowRe number effect. Nevertheless, near-wall effects are different from low-Re number effects due to wall blocking that is absent in the case of unbounded turbulence [1]. This wall blocking effect gives rise to increased anisotropy of the turbulence as the wall is approached [2].…”
Section: List Of Symbolsmentioning
confidence: 94%