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On the decay of isotropic turbulence
Journal of Fluid Mechanics, 2006We 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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The Decay of Isotropic Temperature Fluctuations in an Isotropic Turbulence
Journal of the Aeronautical Sciences, 1951The approach of von Karman and Howarth (to isotropic turbulence) has been applied to the decay of isotropic temperature fluctuations in a decaying isotropic turbulence, under the restriction that the temperature differences are too small to have any effect on the velocity field.
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On the Theory of Isotropic Turbulence
Applied Mechanics Reviews, 1989The theory of isotropic turbulence is investigated. In particular it is established that, for self-similar turbulence, energy transfer occurs in two distinct invariant modes. Implications of this result are discussed. The related decay of turbulence intensity is determined.
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Intermittency of acceleration in isotropic turbulence
Physical Review E, 2005The 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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Superstatistics and isotropic turbulence
Physica A: Statistical Mechanics and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Gravanis +3 more
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Similarity Spectra in Isotropic Turbulence
The Physics of Fluids, 1959Similarity solutions are given for the energy spectrum and transfer function in the initial period of decay for a range of values of the Reynolds number using the transfer theory suggested by Kovásznay. Because of the simple form of the theory, the solution can be obtained in closed form for all values of the Reynolds number, and this exact solution is
Reid, W. H., Harris, D. L.
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On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence
Journal of Applied Physics, 1951The one- and three-dimensional spectral equations for a field of isotropic temperature fluctuations in an isotropic turbulence are derived from the correlation equation. Then, except for the degenerate case of simple conductive decay, stationary fluctuation fields are postulated. Largely by dimensional reasoning and some simple postulates, forms of the
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Heat Transfer in Isotropic Turbulence
Journal of Applied Physics, 1952The postulated problem of heat transfer in a stationary isotropic turbulence under constant small temperature gradient is examined from both Lagrangian and Eulerian points of view. By combination of Taylor's ``diffusion by continuous movements'' and a new temperature fluctuation equation somewhat like the wellknown turbulent energy equation, it is ...
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The Decay of Isotropic Turbulence
Journal of Applied Mechanics, 1948Abstract The equation of decay of isotropic turbulence is determined in the two cases of large and small Reynolds number of turbulence by using the von Kármán-Howarth equations and applying Loitsianskii’s theorem of the conservation of the disturbance moment.
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