Universality and scaling phenomenology of small-scale turbulence in wall-bounded flows

Wei, Liang; Elsinga, Gerrit E.; Brethouwer, Geert; Schlatter, Philipp; Johansson, A.

doi:10.1063/1.4868364

Cited by 12 publications

(32 citation statements)

References 28 publications

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“…This has been observed before by Meinhart and Adrian, 17 Adrian et al, 18 Christensen and Adrian, 23 Hambleton et al, 21 and Wei et al 25 From the analysis performed in Sec. V, we derived the entrainment velocities of conditionally averaged shear layers.…”

Section: Discussionmentioning

confidence: 50%

“…Moreover, it turns out that layered structures were found to be characteristic of the mean structure associated with the principal strain in different turbulent flows by Elsinga and Marusic, 24 which therefore can be considered to be typical for turbulent flow fields. Wei et al 25 have shown that the flow around the shear layers in a TBL exhibits a scaling related to the macro-scales in a TBL. This indicates that the shear layer is closely related to large scales present in the flow.…”

Section: Introductionmentioning

confidence: 99%

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Interfaces and internal layers in a turbulent boundary layer

et al. 2015

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New experimental research is presented on the characteristics of interfaces and internal shear layers that are present in a turbulent boundary layer (TBL). The turbulent/non-turbulent (T/NT) interface at the outer boundary of the TBL shows the presence of a finite jump in streamwise velocity and is characterised by a thin shear layer. It appears that similar layers of high shear occur also within the TBL which separate regions of almost uniform momentum. It turns out that they exhibit similar characteristics as the external T/NT interface. Furthermore, the spatial growth rate of the TBL, that is derived from theoretical analysis, can be correctly predicted from a momentum balance near the external T/NT interface. Similarly, the entrainment velocities for the average internal layers have been determined. Results indicate that internal layers move slower in the vicinity of the wall, whereas they move faster than the large scale boundary layer growth rate in the outer region of the TBL. It is believed that shear layers bound large scale flow regions of approximately uniform momentum. Hence, the entrainment velocities of these internal layers may be interpreted as growth rates of the large scale motions in a TBL. C 2015 AIP Publishing LLC. [http://dx

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Section: Discussionmentioning

confidence: 50%

Section: Introductionmentioning

confidence: 99%

Interfaces and internal layers in a turbulent boundary layer

et al. 2015

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“…As such, it extends a similar analysis by Wei et al (2014) for inhomogeneous, anisotropic wall-bounded turbulence by (i) considering a different turbulent flow and (ii) considerably expanding the Reynolds number range, hence scale separation. The flow velocity associated with the local strain is examined at different turbulent length scales ( § 3.1).…”

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confidence: 85%

“…The flow velocity associated with the local strain is examined at different turbulent length scales ( § 3.1). The comparison with the results obtained by Wei et al (2014) allows assessing of the similarity in the Reynolds number scaling between the different flows, which may reveal quantitative universality (compared to the qualitative similarity in flow pattern observed before, Elsinga & Marusic 2010). Furthermore, the scaling of vorticity and dissipation within the shear layer is considered ( § § 3.2-3.3), from which a coherence length for the small scales is defined.…”

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confidence: 99%

“…of the velocity gradient tensor invariants, the sheet-like shape of intense dissipation and the tube-like shape of vortices (see also § 2.3). Moreover, this average shear layer structure contains large-and small-scale turbulent motions simultaneously (Wei et al 2014), with relative amplitudes consistent with the well-known k −5/3 energy spectrum scaling in actual turbulent flow (Elsinga & Marusic 2016). Additionally, the k −5/3 spectrum scaling appears when considering isotropic as well as anisotropic flow 34 G. E. Elsinga, T. Ishihara, M. V. Goudar, C. B. da Silva and J. C. R. Hunt conditions, i.e.…”

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The scaling of straining motions in homogeneous isotropic turbulence

et al. 2017

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The scaling of turbulent motions is investigated by considering the flow in the eigenframe of the local strain-rate tensor. The flow patterns in this frame of reference are evaluated using existing direct numerical simulations of homogeneous isotropic turbulence over a Reynolds number range from Re λ = 34.6 up to 1131, and also with reference to data for inhomogeneous, anisotropic wall turbulence. The average flow in the eigenframe reveals a shear layer structure containing tube-like vortices and a dissipation sheet, whose dimensions scale with the Kolmogorov length scale, η. The vorticity stretching motions scale with the Taylor length scale, λ T , while the flow outside the shear layer scales with the integral length scale, L. Furthermore, the spatial organization of the vortices and the dissipation sheet defines a characteristic small-scale structure. The overall size of this characteristic small-scale structure is 120η in all directions based on the coherence length of the vorticity. This is considerably larger than the typical size of individual vortices, and reflects the importance of spatial organization at the small scales. Comparing the overall size of the characteristic small-scale structure with the largest flow scales and the vorticity stretching motions on the scale of 4λ T shows that transitions in flow structure occur where Re λ ≈ 45 and 250. Below these respective transitional Reynolds numbers, the small-scale motions and the vorticity stretching motions are progressively less well developed. Scale interactions are examined by decomposing the average shear layer into a local flow, which is induced by the shear layer vorticity, and a non-local flow, which represents the environment of the characteristic small-scale structure. The non-local strain is 4λ T in width and height, which is consistent with observations in high Reynolds number flow of a 4λ T wide instantaneous shear layer with many η-scale vortical structures inside (Ishihara et al., Flow Turbul. Combust., vol. 91, 2013, pp. 895-929). In the average shear layer, vorticity aligns with the intermediate principal strain at small scales, while it aligns with the most stretching principal strain † Email address for correspondence: g.e.elsinga@tudelft.nl ‡ Present address: Graduate School of Environmental and Life Science, Okayama University, Okayama 700-8530, Japan. 32 G. E. Elsinga, T. Ishihara, M. V. Goudar, C. B. da Silva and J. C. R. Hunt at larger scales, consistent with instantaneous turbulence. The length scale at which the alignment changes depends on the Reynolds number. When conditioning the flow in the eigenframe on extreme dissipation, the velocity is strongly affected over large distances. Moreover, the associated peak velocity remains Reynolds number dependent when normalized by the Kolmogorov velocity scale. It signifies that extreme dissipation is not simply a small-scale property, but is associated with large scales at the same time.

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Nature of Turbulence

Tsinober¹

2018

The Essence of Turbulence as a Physical Phenomenon

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Universality and scaling phenomenology of small-scale turbulence in wall-bounded flows

Cited by 12 publications

References 28 publications

Interfaces and internal layers in a turbulent boundary layer

Interfaces and internal layers in a turbulent boundary layer

The scaling of straining motions in homogeneous isotropic turbulence

Nature of Turbulence

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