000014018 001__ 14018
000014018 005__ 20161115094008.0
000014018 04107 $$aeng
000014018 046__ $$k2016-08-21
000014018 100__ $$aVelasco Fuentes, Oscar
000014018 24500 $$aMotion and flow topology of multiple helical vortices

000014018 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014018 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014018 506__ $$arestricted
000014018 520__ $$2eng$$aA set of equal, coaxial, symmetrically-arranged helical vortices translate and rotate steadily while the vortices preserve their shape and relative position in an unbounded, ideal fluid (Joukowsky 1912). We obtained the corresponding linear and angular velocities (U and Ω, respectively) as the sum of the mutually induced velocities found by Okulov (2004) and the self-induced velocities found by Velasco Fuentes (2016). Numerical computation of the velocities with the Biot-Savart law, and numerical simulation of the vortex motion with a 3D vortex-in-cell method verified that our theoretical results are accurate for any number of vortices and over the whole range of values of the vortices’ pitch and radius. An analysis of the flow topology in a reference system that translates with velocity U and rotates with angular velocity Ω served to determine the capacity of the vortices to carry fluid.

000014018 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014018 653__ $$a

000014018 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014018 720__ $$aVelasco Fuentes, Oscar
000014018 8560_ $$ffischerc@itam.cas.cz
000014018 8564_ $$s271372$$uhttps://invenio.itam.cas.cz/record/14018/files/PO.FM15-1.17.91.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1578, code PO.FM15-1.17.91).
000014018 962__ $$r13812
000014018 980__ $$aPAPER