Journal ArticleDOI
High-order velocity structure functions in turbulent shear flows
TLDR
In this paper, moments of the velocity structure function up to the eighteenth order were calculated, primarily with a view to establish accurately the dependence on the order of the inertial range power-law exponent and to draw conclusions about the distribution of energy transfer in the Inertial range.Abstract:
Measurements are presented of the velocity structure function on the axis of a turbulent jet at Reynolds numbers Rλ ≤ 852 and in a turbulent duct flow at Rλ = 515. Moments of the structure function up to the eighteenth order were calculated, primarily with a view to establish accurately the dependence on the order of the inertial range power-law exponent and to draw conclusions about the distribution of energy transfer in the inertial range. Adequate definition of the probability density of the structure function was achieved only for moments of order n ≤ 10. It is shown, however, that, although the values of moments of n > 10 diverges from their true values, the dependence of the moment of the structure function on the separation r is still given to a fair accuracy for moments up to n ≈ 18. The results demonstrate that the inertial-range power-law exponent is closely approximated by a quadratic dependence on the power which for lower-order moments (n [lsim ] 12) would be consistent with a lognormal distribution. Higher-order moments diverge, however, from a lognormal distribution, which gives weight to Mandelbrot's (1971) conjecture that ‘Kolmogorov's third hypothesis’ is untenable in the strict sense. The intermittency parameter μ, appearing in the power-law exponent, has been determined from sixth-order moments 〈(δμ)6〉 ∼ r2−μ to be μ = 0.2 ± 0.05. This value coincides with that determined from non-centred dissipation correlations measured in identical conditions.read more
Citations
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Journal ArticleDOI
Pattern formation outside of equilibrium
Michael Cross,P. C. Hohenberg +1 more
TL;DR: A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented in this article, with emphasis on comparisons between theory and quantitative experiments, and a classification of patterns in terms of the characteristic wave vector q 0 and frequency ω 0 of the instability.
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Interstellar Turbulence I: Observations and Processes
Bruce G. Elmegreen,John Scalo +1 more
TL;DR: In this article, a two-part review summarizes the observations, theory, and simulations of interstellar turbulence and their implications for many fields of astrophysics, including basic fluid equations, solenoidal and compressible modes, global inviscid quadratic invariants, scaling arguments for the power spectrum, phenomenological models for the scaling of higher-order structu...
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The phenomenology of small-scale turbulence
TL;DR: In this article, the authors survey the existing work on intermittency, refined similarity hypotheses, anomalous scaling exponents, derivative statistics, and intermittency models, and the structure and kinematics of small-scale structure.
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Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes
Daniel Schertzer,Shaun Lovejoy +1 more
TL;DR: In this paper, the basic properties of rain and cloud fields (particularly their scaling and intermittency) are best understood in terms of coupled (anisotropic and scaling) cascade processes.
Journal ArticleDOI
Passive Scalars in Turbulent Flows
TL;DR: In this article, the complex morphology of the scalar field is reviewed, and they are related to the intermittency problem and other aspects of passive scalar behavior such as spectrum, probability density function, flux, and variance are also addressed.
References
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Book
A First Course in Turbulence
Henk Tennekes,John L. Lumley +1 more
TL;DR: In this paper, the authors present a reference record created on 2005-11-18, modified on 2016-08-08 and used for the analysis of turbulence and transport in the context of energie.
MonographDOI
Turbulent Transport of Momentum and Heat
Henk Tennekes,John L. Lumley +1 more
TL;DR: In this article, the authors discuss the Reynolds equations and estimate of the Reynolds stress in the kinetic theory of gases, and describe the effects of shear flow near a rigid wall.
MonographDOI
The Statistical Description of Turbulence
Henk Tennekes,John L. Lumley +1 more
TL;DR: In this article, the probability density, Fourier transforms and characteristic functions, joint statistics and statistical independence, Correlation functions and spectra, the central limit theorem, and the relation functions are discussed.
Journal ArticleDOI
A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
TL;DR: Kolmogorov and Oboukhov as discussed by the authors investigated the local structure of turbulence at high Reynolds number, based on Richardson's idea of the existence in the turbulent flow of vortices on all possible scales.