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On the decay of isotropic turbulence

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TLDR
In this paper, the decay of freely-evolving, isotropic turbulence whose spectrum takes the form E(k→0)∼Ik4, I being Loitsyansky's integral was investigated.
Abstract
We investigate the decay of freely-evolving, isotropic turbulence whose spectrum takes the form E(k→0)∼Ik4, I being Loitsyansky's integral We report numerical simulations in a periodic domain whose dimensions, lbox, are much larger than the integral scale of the turbulence, l We find that, provided lbox≫l and Re≫1, the turbulence evolves to a state in which Loitsyansky's integral is approximately constant and Kolmogorov's decay law, u2∼t−10/7, holds true The approximate conservation of I in fully-developed turbulence implies that the long-range interactions between remote eddies, as measured by the triple correlations, are very weak

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Turbulence in Rotating, Stratified and Electrically Conducting Fluids

TL;DR: From fluid mechanics to magnetohydrodynamics, the interplay of waves and turbulence has been studied in this article, with a focus on the transition from elementary fluid dynamics to turbulence in the presence of body forces.
Journal ArticleDOI

Developed quantum turbulence and its decaya)

TL;DR: In this article, a review of the correspondence between classical and quantum turbulence is presented, though it is interspersed with a few new interpretations, and the authors anchor themselves at the level of two-fluid description of the superfluid state,consisting of a normal viscous fluid and a frictionless superfluid.
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The decay of turbulence generated by a class of multi-scale grids

TL;DR: In this article, a new experimental investigation of decaying turbulence generated by a low-blockage space-filling fractal square grid is presented, where the authors find agreement with previous works by Seoud & Vassilicos (2007) and Mazellier et al. (2010) but also extend the length of the assessed decay region and consolidate the results by repeating the experiments with different probes of increased spatial resolution.
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Is grid turbulence Saffman turbulence

TL;DR: In this paper, high-resolution measurements of grid turbulence taken in a large wind tunnel are presented, and it is shown that the turbulence behind the grid is almost certainly of the Saffman type, with u2l3 = constant.
Journal ArticleDOI

The decay of turbulence generated by a class of multiscale grids

TL;DR: In this article, a new experimental investigation of decaying turbulence generated by a low-blockage space-filling fractal square grid is presented, and it is confirmed that this moderately high Reynolds number turbulence does not follow the classical high Reynolds numbers scaling of the dissipation rate and does not obey the equivalent proportionality between the Taylor-based Reynolds number and the ratio of integral scale to the Taylor microscale.
References
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Journal ArticleDOI

Classical Electrodynamics (2nd edn)

M G Brereton
- 01 Aug 1976 - 
TL;DR: The present edition of this now classic text offers substantial refinements and improvements over the first edition and includes some new material as mentioned in this paper, including an improved derivation of the macroscopic equations, monopoles, causality and dispersion relations, signal propagation in a dispersive media.
Book ChapterDOI

Theory of Homogeneous Turbulence

TL;DR: An overview of the theory of homogeneous turbulence is given in this paper, where concepts of quasi-normality of large-scale motions are explained and modified zero cumulant approximation is presented.

Turbulence : an introduction for scientists and engineers

TL;DR: Part I: THE CLASSICAL PICTURE OF TURBULENCE Part II: FREELY DECAYING HOMOGENOUS TURBERULENCE PART III: SPECIAL TOPICS
Journal ArticleDOI

On the decay of a normally distributed and homogeneous turbulent velocity field

TL;DR: In this article, the authors examined the dynamical behaviour of a field of homogeneous turbulence in which the joint probability distribution of the fluctuating velocity components at three points is approximately normal.