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Homogeneous and Isotropic Turbulence

2015
The study of homogeneous and isotropic turbulence is very rewarding for two reasons. On the one hand, it is possible to do an important part of it analytically, and on the other hand, the smallest turbulent structures in most turbulent flows have an almost isotropic behaviour.
Christophe Bailly   +1 more
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Homogeneous isotropic turbulence in dilute polymers

Journal of Fluid Mechanics, 2005
The modification of the turbulent cascade by polymeric additives is addressed by direct numerical simulations of homogeneous isotropic turbulence of a FENE-P fluid. According to the appropriate form of the Kármán–Howarth equation, two kinds of energy fluxes exist, namely the classical transfer term and the coupling with the polymers.
DE ANGELIS, ELISABETTA   +3 more
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Homogeneous Isotropic Turbulence

1977
Many theoretical investigations of turbulence have been developed around the concept of homogeneous, isotropic turbulence — turbulence of which the statistical properties do not vary with position and have no preferred direction. An approximation to such a motion can be obtained behind a grid, such as the one shown in Fig. 21.1, in a wind-tunnel.
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Intermittency of acceleration in isotropic turbulence

Physical Review E, 2005
The intermittency of acceleration is investigated for isotropic turbulence using direct numerical simulation. Intermittently found acceleration of large magnitude always points towards the rotational axis of a vortex filament, indicating that the intermittency of acceleration is associated with the rotational motion of the vortices that causes ...
Sang, Lee, Changhoon, Lee
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On the decay of isotropic turbulence

Journal of Fluid Mechanics, 2006
We investigate the decay of freely evolving isotropic turbulence. There are two canonical cases: $E(k \,{\to}\, 0)\,{\sim}\, Lk^2$ and $E(k \,{\to}\, 0)\,{\sim}\, Ik^4,$$L$ and $I$ being the Saffman and Loitsyansky integrals respectively. We focus on the second of these. Numerical simulations are performed in a periodic domain whose dimensions, $l_{box}
P. A. Davidson, Y. Kaneda, T. Ishida
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Noise from Isotropic Turbulence

AIAA Journal, 2017
Turbulence naturally returns to isotropy and often possesses locally isotropic regions. This paper presents a new method to predict noise from turbulence that has returned or is returning to isotro...
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Particle Clustering in Isotropic Turbulent Flow

Fluid Dynamics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alipchenkov, V. M., Zajchik, L. I.
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Spectrum of Isotropic Turbulence

The Physics of Fluids, 1967
Two expressions are obtained for the turbulent viscosity associated with the transfer of mean-square vorticity across the spectrum. Both involve the three-dimensional energy-spectrum function E and on equating them, a differential equation for the spectrum is obtained. For small wavenumber magnitudes and at high Reynolds number, E = (27/3/3) ε2/3 k−5/3,
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Isotropic Turbulence and Spectra

2011
The knowledge gained from similarity theory is applied in many fields of natural and engineering science, among others, in fluid mechanics. In this field, similarity considerations are often used for providing insight into the flow phenomenon and for generalization of results.
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Approximations for Steady-State Isotropic Turbulence

The Physics of Fluids, 1964
The direct-interaction approximation for turbulence maintained by stationary, isotropic, random stirring forces is formulated in the wavenumber-frequency domain. Further, simplifying approximations are made. The final equations involve the wavenumber energy-spectrum, a characteristic correlation frequency for each wavenumber, and a characteristic ...
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