The energy spectra E(k) of a three-dimensional velocity field induced by a set of vortex loops of different sizes and semi-fractal structure is calculated. The method is closely related to the Gaussian model of vortex tangle. To calculate the energy spectra E(k) we use the characteristic (generating) functional. We demonstrate that this spectrum as function of k has three characteristic regions, associated with the semi-fractal nature of the loops.
|Number of pages||6|
|Journal||Journal of Engineering Thermophysics|
|Publication status||Published - Sep 2022|
- 1.07 OTHER NATURAL SCIENCES
- 1.03 PHYSICAL SCIENCES AND ASTRONOMY
- 1.01 MATHEMATICS
- 1.05 EARTH AND RELATED ENVIRONMENTAL SCIENCES