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A theory of homogeneous isotropic turbulence

Applied Scientific Research, 1959
Homogeneous and isotropic turbulence has been discussed in the present paper. An attempt has been made to find the simplifying hypothesis for connecting the higher order correlation tensor with the lower ones. Starting from the Navier-Stokes equations of motion for an incompressible fluid and following the usual method of taking the averages, a ...
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Homogeneous and Isotropic Turbulence on the Sphere

Journal of the Atmospheric Sciences, 1983
Abstract The assumption that the streamfunction for two-dimensional nondivergent flow on the sphere is a homogeneous and isotropic random field is used to obtain a variety of results for the study of large-scale atmospheric turbulence. These results differ somewhat from those for Cartesian geometry.
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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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The integral scale in homogeneous isotropic turbulence

Journal of Fluid Mechanics, 2002
A simple spectral model is used to examine what is required to determine the energy and integral scale in homogeneous isotropic turbulence. The problem is that these are determined in part by the largest scales of the turbulence which are either not simulated at all by DNS or experiments, or cannot be estimated because of an insufficient ...
Wang, Honglu, George, William K.
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An experimental apparatus for generating homogeneous isotropic turbulence

Experiments in Fluids, 2023
A. L. McCutchan, Blair A. Johnson
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Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence

Journal of Fluid Mechanics, 1993
The average settling velocity in homogeneous turbulence of a small rigid spherical particle, subject to a Stokes drag force, has been shown to differ from that in still fluid owing to a bias from the particle inertia (Maxey 1987).
Lian-Ping Wang, M. Maxey
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Deterministic forcing of homogeneous, isotropic turbulence

Physics of Fluids, 1994
A deterministic low-wave-number forcing scheme designed to obtain statistically stationary homogeneous, isotropic turbulence in incompressible flows, and address criticisms of earlier schemes is proposed. Three-dimensional turbulent kinetic energy spectra collapse well and are more consistent with the experimentally determined Kolmogorov coefficient ...
Neal P. Sullivan   +2 more
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Geometry and statistics in homogeneous isotropic turbulence

2007
In this paper, we consider a phenomenological model, incorporating the main features of hydrodynamic fluid turbulence, aimed at predicting the structure of the velocity gradient tensor, M, coarse-grained at a spatial scale r. This model (M. Chertkov, A. Pumir and B.I. Shraiman, Phys. Fluids 11, 2394 (1999)) is formulated as a set of stochastic ordinary
Naso, A., Pumir, A
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Dimensional characterizations for homogeneous and isotropic turbulence

Computer Methods in Applied Mechanics and Engineering, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inequalities in isotropic homogeneous turbulence theory

Journal of Mathematical Physics, 1981
It is postulated that the energy spectrum function is the Laplace transform of a nonnegative distribution φ. The principal physical parameters in the longitudinal correlation function are then expressed in terms of φ integrals and interrelated by Hölder inequalities, to yield experimentally confirmed results like Lp⩾1.825λ.
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