TY - JOUR

T1 - Energy Spectrum of 3D Velocity Field Generated by Ensemble of Semi-fractal Vortex Loops

AU - Yurkina, O.

AU - Nemirovskii, S. K.

N1 - Funding Information: The theoretical consideration was conducted under the state contract with IT SB RAS (no. 17-117022850027-5); the numerical simulations were supported by the Russian Science Foundation (grant no. 19-19-00321). Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/9

Y1 - 2022/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85135161925&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3a2ed35f-6e6a-3bcc-ae57-700eba0a7141/

U2 - 10.1134/S1810232822030110

DO - 10.1134/S1810232822030110

M3 - Article

AN - SCOPUS:85135161925

VL - 31

SP - 506

EP - 511

JO - Journal of Engineering Thermophysics

JF - Journal of Engineering Thermophysics

SN - 1810-2328

IS - 3

ER -