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TECHNICAL PAPERS

Very Large-Scale Structures and Their Effects on the Wall Shear-Stress Fluctuations in a Turbulent Channel Flow up to Reτ=640

[+] Author and Article Information
Hiroyuki Abe, Hiroshi Kawamura

Department of Mechanical Engineering, Tokyo University of Science, Noda-shi, Chiba 278-8510, Japan

Haecheon Choi

School of Mechanical and Aerospace Engineering, Seoul National University, Seoul 151-744, Korea

J. Fluids Eng 126(5), 835-843 (Dec 07, 2004) (9 pages) doi:10.1115/1.1789528 History: Received April 14, 2003; Revised February 15, 2004; Online December 07, 2004
Copyright © 2004 by ASME
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References

Figures

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Mean velocity distribution for Reτ=640. (–), present; ([[dashed_line]]), Abe et al. 13; (- - -); Moser et al. 12 for Reτ=590; (–⋅⋅–), Spalart 23 for Reτ≈650; (○) Hussain and Reynolds 22 for Reτ=640.
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Root-mean-square velocity fluctuations for Reτ=640. (—), present; ([[dashed_line]]), Abe et al. 13; (- - -), Moser et al. 12 for Reτ=590; (–⋅–), del Álamo and Jiménez 15 for Reτ=550; (○), Hussain and Reynolds 22 for Reτ=640.
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One-dimensional wave number energy spectra of velocity fluctuations for Reτ=640 at y+=5.38 in wall units: (a) streamwise wave number; (b) spanwise wave number. (–), present; ([[dashed_line]]), Abe et al. 13; (- - -), Moser et al. 12 for Reτ=590 at y+=5.34.
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One-dimensional spanwise wave number power spectra of u and w for Reτ=640 at y+=5.38 normalized by uτ and δ in linear scales. (–), present; ([[dashed_line]]), Abe et al. 13; (- - -), Moser et al. 12 for Reτ=590y+=5.34.
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Streamwise and spanwise premultiplied spectra of u and w,kxϕ(kx)/uu and kzϕ(kz)/ww, in the outer layer: (a), (b) kxϕ(kx)/uu; (c), (d) kzϕ(kz)/ww. (–), present for Reτ=640 at y/δ=0.47 (y+=298.2); ([[dashed_line]]), del Álamo and Jiménez 14 for Reτ=550 at y/δ=0.5 (y+=275).
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Spanwise premultiplied energy spectra of the streamwise velocity fluctuations kzϕ(kz)/uu: (a) Reτ=180; (b) Reτ=395; (c) Reτ=640
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Spanwise wavelengths of the most energetic eddies obtained from the premultiplied energy spectra of u for Reτ=180, 395, and 640
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Iso-surfaces of the instantaneous streamwise velocity fluctuations normalized by their own rms value at each y+ for Reτ=180 and 640: (a) Reτ=180; (b) Reτ=640 (red), u/urms>1.75; (blue), u/urms<−1.75. The boxes visualized here are 12.8δ×δ×6.4δ in the streamwise, wall-normal and spanwise directions, corresponding to those of 2304×180×1152(ν/uτ)3 and 8192×640×4096(ν/uτ)3 for Reτ=180 and 640, respectively.
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Variations of the rms wall shear-stress fluctuations as a function of the Reynolds number. (○) present study; (▿), Kuroda et al. 31; (+), Gilbert and Kleiser 32; (⊗), Kuroda et al. 33; (▵), Antonia and Kim 11; (×), Günther et al. 34; (□), Jeon et al. 3; (–), fitting for τ1rmsw by Fischer et al. 35 from DNS; ([[dashed_line]]), fitting for τ1rmsw by Fischer et al. 35 from experiments; (- - -), fitting for τ3rmsw.
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One-dimensional wave number power spectra of τ1 and τ3 normalized by the mean-square values: (a) streamwise wave number; (b) spanwise wave number. (○), Wietrzak and Lueptow 37(Reτ=896); (▵), Nepomuceno and Lueptow 38(Reτ=751).
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One-dimensional spanwise wave number power spectra of τ1 and τ3 normalized by τw and δ in linear scales
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Contours of the instantaneous wall shear-stress fluctuations for Reτ=640; (a) τ1; (b) τ3
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Enlarged view of Fig. 12: (a) τ1; (b) τ3
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Contours of the filtered τ1 and top view of the low-speed regions in the VLSMs for Reτ=640: (a) filtered τ1; (b) top view of the low-speed regions in the outer layer (u/urms<−1.75 denoted as blue iso-surfaces) shown in Fig. 8(b), which is superimposed on the filtered τ1 shown in Fig. 14(a)
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Contours of the filtered τ3 and top view of the high-speed regions in the VLSMs for Reτ=640: (a) filtered τ3; (b) top view of the high-speed regions in the outer layer (u/urms>1.75 denoted as red iso-surfaces) shown in Fig. 8(b), which is superimposed on the filtered τ3 shown in Fig. 15(a)

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