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Appl. Sci. 2017, 7(11), 1108; https://doi.org/10.3390/app7111108

Low Reynolds Number Flow Around Tori of Different Slenderness Γ

1
Institute for Marine and Atmospheric Research Utrecht, Utrecht University, PO Box 80.005, 3508 TA Utrecht, The Netherlands
2
Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via Re David 200, 70125 Bari, Italy
3
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)
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Abstract

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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