Comment on the dissipation-range spectrum in turbulent flows

Sanada, Tsutomu

doi:10.1063/1.858263

Cited by 24 publications

(10 citation statements)

References 10 publications

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“…4/3, 1 and 2 are indicated by Smith and Reynolds 1991) but, for the present case, the curve with m = 1 seems to fit in a better way the experimental results (see Sanada 1992;Manley 1992). …”

Section: Resultssupporting

confidence: 64%

Experimental analysis of scaling laws in low Re λgrid-generated turbulence

Camussi

Guj

1996

Experiments in Fluids

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An experimental investigation of scaling laws in turbulence generated by a biplane grid for low Reynolds numbers (Rex) is presented. The present study covers a wide range of flow field conditions (from Rex ~ 2.5 to Rex,,~ 36) that have not been analyzed from this point of view. It is shown that following the Kolmogorov theory a scaling range can not be observed since the separation between the energy production scales and the dissipative scales is too short. On the other hand, an extended form of scaling, the Extended Self-Similarity (ESS), permits the identification of a range of scales characterized by the same scaling exponent much wider than the one previously examined. Thus the scaling laws for the first six moments of the velocity structure function are accurately calculated by means of the ESS and an anomalous scaling with respect to the Kolmogorov theory is observed for Rex down to the order of 10. As a matter of fact the scaling exponents are in good agreement with the ones that were determined at higher Rex by previous experimental and numerical investigations. For Rex <<. 6 a regularization of the scaling exponents is observed as an effect of the dissipation. We also present an analysis of the universality properties of the ESS form of scaling by means of the form function and an analysis of the sensitivity of the scaling range to the Rex.

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Section: Resultssupporting

confidence: 64%

Experimental analysis of scaling laws in low Re λgrid-generated turbulence

Camussi

Guj

1996

Experiments in Fluids

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“…There the dissipation value is 6 w 3.1 m2 s -~. Kraichnan (1 959) proposed that the dissipation range of the three-dimensional energy spectrum has a simple exponential decay with an algebraic prefactor of the form Since then this form has also been found in direct numerical simulations, but necessarily at low Reynolds numbers, by other researchers, who have proposed that for 0.5 ,< ky 6 3, / 3 x 5.2 (Kida & Murakami 1987;Kerr 1990;Sanada 1992;Kida et al 1992). Recently Chen et al (1993) have studied the far dissipation range of isotropic turbulence at a very low Reynolds number (R, = 15) by direct numerical simulation.…”

Section: Analysis Of Small-scale Datamentioning

confidence: 93%

Local isotropy in turbulent boundary layers at high Reynolds number

1994

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“…It shows a correspondence between spatially local and spectral (small-scale) isotropy. Recently, Sanada (1992) showed, using direct numerical simulation of homogeneous stationary turbulence (R, x 120) that the dissipation ran e of the E(k)…”

Section: Dependence On Reynolds Numbermentioning

confidence: 99%

Isotropy of the small scales of turbulence at low Reynolds number

Kim

Antonia

1993

J. Fluid Mech.

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Spectral local isotropy tests are applied to direct numerical simulation data, mainly at the centreline of a fully developed turbulent channel flow. Despite the small Reynolds number of the simulation, the high-wavenumber behaviour of velocity and vorticity spectra is consistent with local isotropy. This consistency is verified by the relationship between streamwise wavenumber spectra and spanwise wavenumber spectra. The high-wavenumber behaviour of the pressure spectrum is also consistent with local isotropy and compares favourably with the calculation of Batchelor (1951), which assumes isotropy and joint normality of the velocity field at two points in space. The latter assumption is validated by the shape but not the magnitude of the quadruple correlation of the streamwise velocity fluctuation at small separations. There is only partial support for local spectral isotropy away from the centreline as the magnitude of the mean strain rate increases.

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Comment on the dissipation-range spectrum in turbulent flows

Cited by 24 publications

References 10 publications

Experimental analysis of scaling laws in low Re λgrid-generated turbulence

Experimental analysis of scaling laws in low Re λgrid-generated turbulence

Local isotropy in turbulent boundary layers at high Reynolds number

Isotropy of the small scales of turbulence at low Reynolds number

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