... Tenenev V. A. The dynamics of vortex rings: leapfrogging in an ideal and viscous ... the problem of motion of axisymmetric vortex rings in an ideal incompressible and ...
... of thin vortex rings (e.g., a homogeneous ring, a hollow vortex ring etc), which ... rings interact in the process of motion, their radii and thicknesses become variable ...
... to critical radii of stable Thomsons orbits for the * system of vortices in the ring (for q = 0) and qN correspond to the maximum value of the ratio between the inner and outer radii of the ring for the stable Thomson configuration of N vortices ...
... ring, leapfrogging motion of vortex rings, bifurcation complex, periodic solution ... rings, which was obtained by P.G.Saffman [50, 51]: a V (0) z = 4R 8R 1 ln - +(a) , a ...
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Ссылки http://ics.org.ru/upload/iblock/8b0/187-the-dynamics-of-vortex-rings-leapfrogging-choreographies-and-the-stability-problem_ru.pdf -- 858.4 Кб -- 28.10.2015 Похожие документы
... Discovery of a mechanism for linking elliptic vortex rings (with I. Zawadzki, 1991). ... Simulations of interacting vortex rings (with I. Zawadzki, 199091). ... Rest in Peace, Hassan. REGULAR AND CHAOTIC DYNAMICS Vol. 16 No. ...
... for the problem of three vortex rings, which describe both the regular and chaotic leapfrogging motion of vortex rings ... ideal fluid, vortex ring, leapfrogging motion of vortex rings, bifurcation complex, periodic solution, integrability, chaotic ...
... results on the interaction of a moving sphere with a vortex ring are contained in [8 ... The body is assumed to start from rest, i.e. P(0) = 0, K(0) = 0. ... A ring vortex is formed in the rear part. ...
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Ссылки http://ics.org.ru/upload/iblock/704/186-the-self-propulsion-of-a-body-with-moving-internal-masses-in-a-viscous-fluid_ru.pdf -- 1754.9 Кб -- 28.10.2015 Похожие документы
... We assume that the fluid is at rest at infinity and circulation around the body is ... In the proof of controllability, we rely on a general ization of the RashevskyChow ...