SCALING OF FINE SCALE EDDIES IN TURBULENT CHANNEL FLOWS UP TO Reτ =800

By M. Tanahashi, Shinjeong Kang, T. Miyamoto, S. Shiokawa, T. Miyauchi. Proceeding of Third Symposium on Turbulence and Shear Flow Phenomena, 2004

170 citations recorded by the source corpus.

Abstract To clarify the scaling law of fine scale eddies in turbulent channel flows, direct numerical simulations are conducted for Re τ =180, 400 and 800. The diameter and the maximum azimuthal velocity of coherent fine scale eddies can be scaled by Kolmogorov microscale ( η ) and Kolmogorov velocity ( u k ). The most expected diameter and maximum azimuthal velocity are 8–10 η and 1.2–2.0 u k , respectively. Near the wall, the most expected diameter increases to 10 η from 8 η and the most expected maximum azimuthal velocity increases to 2.0 u k from 1.2 u k . Strain rates at the center of the coherent fine scale eddies are small compared with the mean strain rate of the whole flow field. The strain rates acting on the fine scale eddies away from the wall coincide with those in homogeneous isotropic turbulence and turbulent mixing layer. However, relatively large strain rates are acting on the near-wall coherent fine scale eddies. The most expected angle between the intermediate eigenvector and the rotating axis of the fine scale eddy is about 15–17°, which is independent of the turbulent flow fields. The probability that coherent fine scale eddies exist in low-speed streaks is higher than that in high-speed streaks. Large scale structures of wall turbulence are visualized by showing spatial distributions of central axes of coherent fine scale eddies.

Subfields: Computational Mechanics, Global and Planetary Change, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/0b3d5a7b3c0f0c44ec4dbbacccbb2df8bf6c3449

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Citations in the corpus

Three-dimensional conditional structure of a high-Reynolds-number turbulent boundary layer (2011, background): “…this behaviour reversed, and small-scale fluctuations were found to be more energetic within large-scale negative fluctuations (this type of increased small-scale activity away from the wall within large-scale lowspeed regions was also noted by Tanahashi et al. 2004 and del Álamo et al. 2006).”
Compound Wall Treatment for RANS Computation of Complex Turbulent Flows and Heat Transfer (2007, methodology): “Symbols: DNS of Tanahashi et al. [ 21 ] 190 Flow Turbulence Combust (2007) 78:177–202”
The three-dimensional structure of momentum transfer in turbulent channels (2011, background): “While this averaged structure is consistent with the hairpin packet paradigm, del Álamo et al. (2006) pointed out that the instantaneous clusters are more complex, in agreement with earlier visualizations by Tanahashi et al. (2004).”
Large-scale influences in near-wall turbulence (2007, background): “In separate DNS studies, Tanahashi et al. (2004) and Kasagi et al. (2005) show complex clusters of fine-scale vortices existing within these elongated low-speed regions (at RetZ800 and 1160, respectively), noting that in the log region, ‘the probability that coherent fine-scale eddies exist in low”
Vortical structures in the turbulent boundary layer: a possible route to a universal representation (2008, methodology): “As found by Tanahashi et al. (2004) and Kang et al. (2005) in their numerical studies, the distributions obtained throughout the log layer at both Reynolds numbers correspond well when normalized by the Kolmogorov scale.”
Cascades in Wall-Bounded Turbulence (2012, unknown): “Tanahashi et al. (2004) showed that the intense vortices in turbulent channels are identical to those in isotropic turbulence ( Jiménez et al. 1993), and Saddoughi & Veeravali (1994) showed that the Reynolds stress tensor in a very high–Reynolds number boundary layer is essentially isotropic for…”
Evidence of very long meandering features in the logarithmic region of turbulent boundary layers (2007, background): “(In separate DNS studies Tanahashi et al. 2004 show complex clusters of fine-scale vortices existing within these elongated lowspeed features.)”
Self-similar vortex clusters in the turbulent logarithmic region (2006, methodology): “This is consistent with Kang, Tanahashi & Miyauchi (2004), who showed that in the channels of Tanahashi et al. (2003, 2004), the vortices that reside in low-u structures are stronger than those in high-u ones.”