Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Analytical solution for self-induced motion of a helical vortex with a Gaussian core. / Okulov, V. L.; Fukumoto, Y.
в: Thermophysics and Aeromechanics, Том 27, № 4, 07.2020, стр. 481-488.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Analytical solution for self-induced motion of a helical vortex with a Gaussian core
AU - Okulov, V. L.
AU - Fukumoto, Y.
N1 - Funding Information: In this work, V.L. Okulov received support under the contract with the Ministry of Education and Science of the Russian Federation (No. 075-15-2019-1923) and Y. Fukumoto received the grants for research from the Japan Society for the Promotion of Science (No. S17119 and No. 19K03672).
PY - 2020/7
Y1 - 2020/7
N2 - The paper presents an analytical solution for helical vortices with a Gaussian vorticity distribution in the core, which is confirmed by experimental and numerical simulations. This result is obtained by extending the Dyson method to the Biot–Savart law. Previously, analytical solutions were found and studied only for vortices with constant vorticity distribution in the core (a Rankine-type vortex core). One of the important issues raised during the discussion is the difference between self-induced movements of helical structures with both types of vortex core. The proposed solutions are important for the fundamental understanding and description of the behavior of helical eddy flows in various fields of industry and in nature. Examples include tip vortices behind the rotors of wind or hydro turbines, tornadoes, or axial vortices in aerodynamic devices such as vortex apparatuses and generators; cyclone separators, combustion chambers, etc.
AB - The paper presents an analytical solution for helical vortices with a Gaussian vorticity distribution in the core, which is confirmed by experimental and numerical simulations. This result is obtained by extending the Dyson method to the Biot–Savart law. Previously, analytical solutions were found and studied only for vortices with constant vorticity distribution in the core (a Rankine-type vortex core). One of the important issues raised during the discussion is the difference between self-induced movements of helical structures with both types of vortex core. The proposed solutions are important for the fundamental understanding and description of the behavior of helical eddy flows in various fields of industry and in nature. Examples include tip vortices behind the rotors of wind or hydro turbines, tornadoes, or axial vortices in aerodynamic devices such as vortex apparatuses and generators; cyclone separators, combustion chambers, etc.
KW - Gaussian vorticity distribution
KW - helical vortex
KW - self-induced rotation
KW - vortex dynamics
UR - http://www.scopus.com/inward/record.url?scp=85098466372&partnerID=8YFLogxK
U2 - 10.1134/S0869864320040022
DO - 10.1134/S0869864320040022
M3 - Article
AN - SCOPUS:85098466372
VL - 27
SP - 481
EP - 488
JO - Thermophysics and Aeromechanics
JF - Thermophysics and Aeromechanics
SN - 0869-8643
IS - 4
ER -
ID: 27436667