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Analytical solution for self-induced motion of a helical vortex with a Gaussian core. / Okulov, V. L.; Fukumoto, Y.

In: Thermophysics and Aeromechanics, Vol. 27, No. 4, 07.2020, p. 481-488.

Research output: Contribution to journal › Article › peer-review

Harvard

Okulov, VL & Fukumoto, Y 2020, 'Analytical solution for self-induced motion of a helical vortex with a Gaussian core', Thermophysics and Aeromechanics, vol. 27, no. 4, pp. 481-488. https://doi.org/10.1134/S0869864320040022

APA

Okulov, V. L., & Fukumoto, Y. (2020). Analytical solution for self-induced motion of a helical vortex with a Gaussian core. Thermophysics and Aeromechanics, 27(4), 481-488. https://doi.org/10.1134/S0869864320040022

Vancouver

Okulov VL, Fukumoto Y. Analytical solution for self-induced motion of a helical vortex with a Gaussian core. Thermophysics and Aeromechanics. 2020 Jul;27(4):481-488. doi: 10.1134/S0869864320040022

Author

Okulov, V. L. ; Fukumoto, Y. / Analytical solution for self-induced motion of a helical vortex with a Gaussian core. In: Thermophysics and Aeromechanics. 2020 ; Vol. 27, No. 4. pp. 481-488.

BibTeX

@article{14efc9b8d6474fcdb265b86d57edab47,
title = "Analytical solution for self-induced motion of a helical vortex with a Gaussian core",
abstract = "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.",
keywords = "Gaussian vorticity distribution, helical vortex, self-induced rotation, vortex dynamics",
author = "Okulov, {V. L.} and Y. Fukumoto",
note = "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).",
year = "2020",
month = jul,
doi = "10.1134/S0869864320040022",
language = "English",
volume = "27",
pages = "481--488",
journal = "Thermophysics and Aeromechanics",
issn = "0869-8643",
publisher = "PLEIADES PUBLISHING INC",
number = "4",

}

RIS

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