Abstract
The energy spectra of a three dimensional velocity field, induced by a set of vortex loops with various configurations are reviewed. This problem is closely related to the actual question of whether a chaotic set of vortex filaments can reproduce the real hydrodynamic turbulence. In the paper we discuss several cases that allow evaluating spectra in an exact form. The research was made for an ensemble of vortex rings of different sizes as well as for vortex loops with fractal Hausdorf dimension equal to 5/3, which corresponds to Flory’s vortex model, the so-called self-avoid lines. The results obtained are discussed.
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