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 × 103] and aspect-ratio 0 < Gcyrillic = 2a/R ≤ 2 (core diameter over toroidal radius). It is shown that as Gcyrillic → 0, consistent with intuition and the results from the literature, the flow tends to that of a two-dimensional circular cylinder while for G → 2 the flow is that around a bluff obstacle. It has been observed that in a small region of the Re-Gcyrillic 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 < Gcyrillic ≤ 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.

Lazeroms, W., de Tullio, M.d., De Santis, N., Pizzoferrato, R., & Verzicco, R. (2017). Low reynolds number flow around tori of different slenderness Î . APPLIED SCIENCES, 7(11), 1108 [10.3390/app7111108].

Low reynolds number flow around tori of different slenderness Γ

Pizzoferrato, Roberto
;
Verzicco, Roberto
2017

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 × 103] and aspect-ratio 0 < Gcyrillic = 2a/R ≤ 2 (core diameter over toroidal radius). It is shown that as Gcyrillic → 0, consistent with intuition and the results from the literature, the flow tends to that of a two-dimensional circular cylinder while for G → 2 the flow is that around a bluff obstacle. It has been observed that in a small region of the Re-Gcyrillic 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 < Gcyrillic ≤ 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.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-IND/06 - Fluidodinamica
English
Con Impact Factor ISI
Direct numerical simulation; Viscous flows; Vortex dynamics; Materials Science (all); Instrumentation; Engineering (all); Process Chemistry and Technology; Computer Science Applications1707 Computer Vision and Pattern Recognition; Fluid Flow and Transfer Processes
http://www.mdpi.com:81/2076-3417/7/11/1108/pdf
Lazeroms, W., de Tullio, M.d., De Santis, N., Pizzoferrato, R., & Verzicco, R. (2017). Low reynolds number flow around tori of different slenderness Î . APPLIED SCIENCES, 7(11), 1108 [10.3390/app7111108].
Lazeroms, Wmj; de Tullio, Md; De Santis, N; Pizzoferrato, R; Verzicco, R
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/191985
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