High Reynolds Number Computation for Turbulent Heat Transfer in a Pipe Flow

Satake, Shin‐ichi; Kunugi, Tomoaki; Himeno, Ryutaro

doi:10.1007/3-540-39999-2_49

Cited by 25 publications

(9 citation statements)

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“…While there has been extensive numerical study of turbulent flows in smooth-wall pipes (Eggels et al 1994;Loulou et al 1997;Satake, Kunugi & Himeno 2000;Wagner, Hüttl & Friedrich 2001;Wu & Moin 2008;Chin et al 2010;Saha et al 2011), there is limited literature for a turbulent flow in a rough-wall pipe. Simulation of a turbulent flow in a pipe with two-dimensional roughness was conducted by Blackburn, Ooi & Chong (2007) where the effects of the corrugation height for a fixed corrugation wavelength were investigated.…”

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confidence: 99%

A systematic investigation of roughness height and wavelength in turbulent pipe flow in the transitionally rough regime

et al. 2015

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Direct numerical simulations (DNS) are conducted for turbulent flow through pipes with three-dimensional sinusoidal roughnesses explicitly represented by body-conforming grids. The same viscous-scaled roughness geometry is first simulated at a range of different Reynolds numbers to investigate the effects of low Reynolds numbers and low R 0 /h, where R 0 is the pipe radius and h is the roughness height. Results for the present class of surfaces show that the Hama roughness function U + is only marginally affected by low Reynolds numbers (or low R 0 /h), and observations of outer-layer similarity (or lack thereof) show no signs of sensitivity to Reynolds number. Then, building on this, a systematic approach is taken to isolate the effects of roughness height h + and wavelength λ + in a turbulent wall-bounded flow in both transitionally rough and fully rough regimes. Current findings show that while the effective slope ES (which for the present sinusoidal surfaces is proportional to h + /λ + ) is an important roughness parameter, the roughness function U + must also depend on some measure of the viscous roughness height. A simplistic linear-log fit clearly illustrates the strong correlation between U + and both the roughness average height k + a (which is related to h + ) and ES for the surfaces simulated here, consistent with published literature. Various definitions of the virtual origin for rough-wall turbulent pipe flow are investigated and, for the surfaces simulated here, the hydraulic radius of the pipe appears to be the most suitable parameter, and indeed is the only virtual origin that can ever lead to collapse in the total stress. First-and second-order statistics are also analysed and collapses in the outer layer are observed for all cases, including those where the largest roughness height is a substantial proportion of the reference radius (low R 0 /h). These results provide evidence that turbulent pipe flow over the present sinusoidal surfaces adheres to Townsend's notion of outer-layer similarity, which pertains to statistics of relative motion.

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A systematic investigation of roughness height and wavelength in turbulent pipe flow in the transitionally rough regime

et al. 2015

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“…At Ha= 0 and 32.5, sweep can be clearly observed from the wall to the channel center. At high-Reynolds number pipe flow, large-scale sweep has also been observed by Satake et al 21 However, at Ha= 65, sweep regions are limited to regions close to the wall. This is also evidence of the relationship between sweep and Reynolds stress distribution ͑see Fig.…”

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confidence: 58%

Direct numerical simulation of turbulent channel flow under a uniform magnetic field for large-scale structures at high Reynolds number

et al. 2006

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A direct numerical simulation ͑DNS͒ of turbulent channel flow with high Reynolds number has been carried out to show the effects of the magnetic field. In this study, the Reynolds number for channel flow based on bulk velocity U b , viscosity , and channel width 2␦ was set to be constant; Re b =2␦U b / = 45818. A uniform magnetic field was applied in the direction of the wall normal. The value of the Hartmann number, Ha were 32.5 and 65, where Ha= 2␦B 0 ͱ / . The turbulent quantities such as the mean flow, turbulent stress, and turbulent statistics were obtained by DNS. Although the influence of the magnetohydrodynamic dissipation terms in the turbulent kinetic energy budget was small, large-scale turbulent structures, e.g., vertical structures, low-speed streaks, ejection, and sweep, were found to decrease at the central region of the channel. Consequently, the difference between production and dissipation in the turbulent kinetic energy decreased with increasing Hartmann number at the central region and large-scale structures at this region were reduced.

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“…Redjem-Saad et al [21] compared RMS temperature fluctuations and turbulent heat flux for 0.026 Pr 1.0 at Re t ¼ 186 with the channel flow DNS data of Kawamura et al [24]. Both Redjem-Saad et al [21] and Satake et al [20] calculated the turbulent Prandtl number profile. Their results showed agreement with Kawamura et al [24] in the vicinity of the wall.…”

Section: Introductionmentioning

confidence: 95%

“…They found that (2) predicted the mean profile reasonably for Re t ¼ 395, but with increasing Pr the differences in the logarithmic region became significant. Only Piller [19]; Satake et al [20] and Redjem-Saad et al [21] have attempted to make a comparison between turbulent pipe and channel flow DNS. Redjem-Saad et al [21] compared RMS temperature fluctuations and turbulent heat flux for 0.026 Pr 1.0 at Re t ¼ 186 with the channel flow DNS data of Kawamura et al [24].…”

Section: Introductionmentioning

confidence: 98%

Comparison of thermal scaling properties between turbulent pipe and channel flows via DNS

Saha

Klewicki

Ooi

et al. 2015

International Journal of Thermal Sciences

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High Reynolds Number Computation for Turbulent Heat Transfer in a Pipe Flow

Cited by 25 publications

References 13 publications

A systematic investigation of roughness height and wavelength in turbulent pipe flow in the transitionally rough regime

A systematic investigation of roughness height and wavelength in turbulent pipe flow in the transitionally rough regime

Direct numerical simulation of turbulent channel flow under a uniform magnetic field for large-scale structures at high Reynolds number

Comparison of thermal scaling properties between turbulent pipe and channel flows via DNS

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