2001
DOI: 10.1017/s0022112001005511
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Reynolds-number dependence of turbulent velocity and pressure increments

Abstract: The main focus is the Reynolds number dependence of Kolmogorov normalized low-order moments of longitudinal and transverse velocity increments. The velocity increments are obtained in a large number of flows and over a wide range (40–4250) of the Taylor microscale Reynolds number Rλ. The Rλ dependence is examined for values of the separation, r, in the dissipative range, inertial range and in excess of the integral length scale. In each range, the Kolmogorov-normalized moments of longitudinal and transve… Show more

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Cited by 59 publications
(48 citation statements)
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References 65 publications
(128 reference statements)
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“…In all three figures it can be seen that the transverse exponent is smaller than the longitudinal one, ξ t n < ξ l n . This result is well accepted [16,22,31,59,60]. As a consequence, one scaling group is not enough to characterize the turbulent flow and the statistics is more complex than previously thought.…”
Section: Two-point Statisticsmentioning
confidence: 75%
See 1 more Smart Citation
“…In all three figures it can be seen that the transverse exponent is smaller than the longitudinal one, ξ t n < ξ l n . This result is well accepted [16,22,31,59,60]. As a consequence, one scaling group is not enough to characterize the turbulent flow and the statistics is more complex than previously thought.…”
Section: Two-point Statisticsmentioning
confidence: 75%
“…Some groups have plotted v n r ∝ |v r | 3 ξ t n [9,12]. But more recently it has been argued that |v r | n ∝ |u r | 3 ξ t n (45) is theoretically more justified because Kolmogorov's 4/5-law gives an exact prediction for the longitudinal third-order structure function and therefore |u r | 3 is a good point of [16,22,31,59,60].…”
Section: Appendix A: Extended Self-similaritymentioning
confidence: 99%
“…With the addition of the active grid in the VDTT, we expect to reach Reynolds numbers before attainable only in the atmospheric boundary layer. 72 That is, we will produce steady homogeneous and isotropic conditions, whereas existing data were acquired in unsteady inhomogeneous and anisotropic flows. As can be seen in Table III, very high Reynolds numbers up to R λ at least 4200 will be possible with the active grid.…”
Section: Discussionmentioning
confidence: 99%
“…This seems to be caused by the contribution from electronic noise. [40][41][42] Such an ad hoc compensation of the spectrum does not highlight the spectral "bump" at the high-wave number end of the scaling range, 43 although this feature would become noticeable when the spectrum is multiplied by 8) highlights that there is a significant range of scales where the spectrum follows a power law.…”
Section: A Spectramentioning
confidence: 99%