IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow

Smits, Alexander J.

doi:10.1007/978-94-007-0997-3

Fluid Mechanics and Its Applications

2004

DOI: 10.1007/978-94-007-0997-3

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IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow

Alexander J. Smits¹

Abstract: The purp ose of this series is to focu s on subje cts in which fluid mechanics play s a fundam ental role.As well as the more traditional applications of aeronautics, hydraulics, heat and mass transfer etc ., books will be publi shed dealing with topic s which are currently in a state of rapid development , such as turbul ence, suspensions and multi pha se fluid s, super and hypersonic flows and nume rical modelling techn iques.

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Cited by 4 publications

References 67 publications

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Multi-particle and tetrad statistics in numerical simulations of turbulent relative dispersion

2011

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The evolution in size and shape of three and four-particle clusters (triangles and tetrads, respectively) in isotropic turbulence is studied using direct numerical simulations at grid resolution up to 4096 3 and Taylor-scale Reynolds numbers from 140 to 1000. A key issue is the attainment of inertial range behavior at high Reynolds number, while the small-and large-time limits of ballistic and diffusive regimes, respectively, are also considered in some detail. Tetrad size expressed by the volume (V) and (more appropriately) the gyration radius (R) is shown to display inertial range scaling consistent with a Richardson constant close to 0.56 for two-particle relative dispersion. For tetrads of initial size in a suitable range moments of shape parameters, including the ratio V 2=3 =R 2 and normalized eigenvalues of a moment-of-inertia-like dispersion tensor, show a regime of near-constancy which is identified with inertial-range scaling. Sheet-like structures are dominant in this period, while pancakes and needles are more prevalent at later times. For triangles taken from different faces of each tetrad effects of the initial shape (isosceles right-angled or equilateral) are retained only for about one Batchelor time scale. In the inertial range there is a prevalence of nearly isosceles triangles of two long sides and one short side, representing one particle moving away from the other two which are still close together. In general, measures of shape display asymptotic scaling ranges more readily than measures of size. With some caveats, the simulation results are also compared with the limited literature available for multiparticle cluster dispersion in turbulent flow.

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Multi-particle and tetrad statistics in numerical simulations of turbulent relative dispersion

2011

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High–Reynolds Number Wall Turbulence

Smits

McKeon

Marušić

2011

Annu. Rev. Fluid Mech.

791

590

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We review wall-bounded turbulent flows, particularly high-Reynolds number, zero-pressure gradient boundary layers, and fully developed pipe and channel flows. It is apparent that the approach to an asymptotically high-Reynolds number state is slow, but at a sufficiently high Reynolds number the log law remains a fundamental part of the mean flow description. With regard to the coherent motions, very-large-scale motions or superstructures exist at all Reynolds numbers, but they become increasingly important with Reynolds number in terms of their energy content and their interaction with the smaller scales near the wall. There is accumulating evidence that certain features are flow specific, such as the constants in the log law and the behavior of the very large scales and their interaction with the large scales (consisting of vortex packets). Moreover, the refined attached-eddy hypothesis continues to provide an important theoretical framework for the structure of wall-bounded turbulent flows. 353 Annu. Rev. Fluid Mech. 2011.43:353-375. Downloaded from www.annualreviews.org by University of Melbourne on 10/22/12. For personal use only.

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Scaling between Wind Tunnels–Results Accuracy in Two-Dimensional Testing

Rašuo

2012

Trans. Japan Soc. Aero. S Sci.

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The establishment of exact two-dimensional flow conditions in wind tunnels is a very difficult problem. This has been evident for wind tunnels of all types and scales. In this paper, the principal factors that influence the accuracy of two-dimensional wind tunnel test results are analyzed. The influences of the Reynolds number, Mach number and wall interference with reference to solid and flow blockage (blockage of wake) as well as the influence of side-wall boundary layer control are analyzed. Interesting results are brought to light regarding the Reynolds number effects of the test model versus the Reynolds number effects of the facility in subsonic and transonic flow.

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IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow

Cited by 4 publications

References 67 publications

Multi-particle and tetrad statistics in numerical simulations of turbulent relative dispersion

Multi-particle and tetrad statistics in numerical simulations of turbulent relative dispersion

High–Reynolds Number Wall Turbulence

Scaling between Wind Tunnels–Results Accuracy in Two-Dimensional Testing

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