On the local axisymmetry of a vortex

0519047 - ÚH 2021 RIV SG eng C - Conference Paper (international conference)
Kolář, Václav - Šístek, Jakub
On the local axisymmetry of a vortex.
Proceedings of 16th Asian Congress of Fluid Mechanics. Singapore: Springer Singapore, 2021 - (Venkatakrishnan, L.; Majumdar, S.; Subramanian, G.; Bhat, G.; Dasgupta, R.; Arakeri, J.), s. 175-183. Lecture Notes in Mechanical Engineering. ISBN 978-981-15-5182-6. ISSN 2195-4356.
[Asian Congress of Fluid Mechanics /16./. Bengaluru (IN), 13.12.2019-17.12.2019]
R&D Projects: GA ČR(CZ) GA18-09628S
Institutional support: RVO:67985874 ; RVO:67985840
Keywords : vortex * axisymmetry * velocity-gradient tensor * complex eigenvectors * dual-eigenvectors
OECD category: Fluids and plasma physics (including surface physics); Applied mathematics (MU-W)
https://www.springer.com/gp/book/9789811551826

The local 3D cylindrical axisymmetry of a vortex is examined. Simple scalar quantities with a clear geometrical interpretation are introduced as suitable analytical tools for visualization of the local axisymmetry and skewness of the flow in the domain characterized by complex eigenvalues of the velocity-gradient tensor. Both complex and real eigenvectors are employed, including the real-valued dual-eigenvectors representing the orthogonal elongated directions in the swirl plane. The proposed quantities are applied to an impulsively started incompressible flow around an inclined flat plate.
Permanent Link: http://hdl.handle.net/11104/0304050