A direct numerical simulation of a turbulent pipe flow at a high Reynolds number of Reτ = 3008 over a long axial domain length (30R) was performed. The streamwise mean velocity followed the power law in the overlap region (y+ = 90–300; y/R = 0.03–0.1) based on the power law indicator function. The scale separation of the Reynolds shear stresses into two components of small- and large-scale motions (LSMs) revealed that the LSMs in the outer region played an important role in constructing the constant-stress layer and the mean velocity. In the pre-multiplied energy spectra of the streamwise velocity fluctuations, the bimodal distribution was observed at both short and long wavelengths. The kx−1 region associated with the attached eddies appeared in λx/R = 2–5 and λx/y = 18–160 at y+ = 90–300, where the power law was established in the same region. The kz−1 region also appeared in λz/R = 0.3–0.6 at y+ = 3 and 150. Linear growth of small-scale energy to large-scale energy induced the kx−1 region at high Reynolds numbers, resulting in a large population of the LSMs. This result supported the origin of very-large-scale motions in the pseudo-streamwise alignment of the LSMs. In the pre-multiplied energy spectra of the Reynolds shear stress, the bimodal distribution was observed without the kx−1 region.
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June 2015
Research Article|
June 18 2015
Direct numerical simulation of a 30R long turbulent pipe flow at Reτ = 3008
Junsun Ahn
;
Junsun Ahn
1Department of Mechanical Engineering,
KAIST
, 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, South Korea
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Jae Hwa Lee;
Jae Hwa Lee
2School of Mechanical and Nuclear Engineering,
UNIST
, 50 UNIST-gil, Ulsan 689-798, South Korea
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Jin Lee;
Jin Lee
1Department of Mechanical Engineering,
KAIST
, 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, South Korea
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Ji-hoon Kang
;
Ji-hoon Kang
3Supercomputing Center,
KISTI
, 245 Daehak-ro, Yuseong-gu, Daejeon 305-806, South Korea
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Hyung Jin Sung
Hyung Jin Sung
a)
1Department of Mechanical Engineering,
KAIST
, 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, South Korea
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a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]. Tel.: 82-42-350-3027. Fax: 82-42-350-5027.
Physics of Fluids 27, 065110 (2015)
Article history
Received:
March 21 2015
Accepted:
June 01 2015
Citation
Junsun Ahn, Jae Hwa Lee, Jin Lee, Ji-hoon Kang, Hyung Jin Sung; Direct numerical simulation of a 30R long turbulent pipe flow at Reτ = 3008. Physics of Fluids 1 June 2015; 27 (6): 065110. https://doi.org/10.1063/1.4922612
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