Self-Similar Solutions in the Homogeneous Isotropic Turbulence

Details Self-Similar Solutions in the Homogeneous Isotropic Turbulence Self-Similar Solutions in the Homogeneous Isotropic Turbulence

2009-04-05

arxiv.org/abs/0904.0818v2

Physics

Fluid Dynamics

15 pages, 10 figures, submitted to Phys. Rev. E

Scientific paper

We calculate the self-similar longitudinal velocity correlation function, the energy spectrum and the corresponding other properties using a theory on the isotropic homogeneous turbulence just presented by the author in a previous work. The correlation functions correspond to steady-state solutions of the evolution equation under the self-similarity hypothesis introduced by von K\'arm\'an. These solutions are numerically calculated and the results adequately describe several properties of the isotropic turbulence.

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