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Appl. Sci. 2017, 7(11), 1108;

Low Reynolds Number Flow Around Tori of Different Slenderness Γ

Institute for Marine and Atmospheric Research Utrecht, Utrecht University, PO Box 80.005, 3508 TA Utrecht, The Netherlands
Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via Re David 200, 70125 Bari, Italy
Dipartimento di Ingegneria Industriale, Università di Roma ‘Tor Vergata’, Via del Politecnico 1, 00133 Roma, Italy
Author to whom correspondence should be addressed.
Received: 25 September 2017 / Accepted: 20 October 2017 / Published: 26 October 2017
(This article belongs to the Section Mechanical Engineering)
PDF [3969 KB, uploaded 26 October 2017]


We present the results of axisymmetric and three-dimensional numerical simulations of the flow around a torus in the low Reynolds number regime [ 10 2 ; 3 × 10 3 ] and aspect-ratio 0 < Γ = 2 a / R 2 (core diameter over toroidal radius). It is shown that as Γ 0 , consistent with intuition and the results from the literature, the flow tends to that of a two-dimensional circular cylinder while for Γ 2 the flow is that around a bluff obstacle. It has been observed that in a small region of the R e Γ phase space, the flow develops an axisymmetric recirculation detached from the torus and with a vorticity distribution that resembles the Hill vortex. In the range 0 < Γ 2 , several different regimes have been observed; the peculiarities of each regime are analyzed and, whenever possible, similarities and differences with other classical flows are discussed. View Full-Text
Keywords: direct numerical simulation; viscous flows; vortex dynamics direct numerical simulation; viscous flows; vortex dynamics

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Lazeroms, W.M.J.; De Tullio, M.D.; De Santis, N.; Pizzoferrato, R.; Verzicco, R. Low Reynolds Number Flow Around Tori of Different Slenderness Γ. Appl. Sci. 2017, 7, 1108.

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