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.

Low reynolds number flow around tori of different slenderness / Lazeroms, Wmj.; de Tullio, Md.; De Santis, Nicola; Pizzoferrato, R.; Verzicco, R.. - In: APPLIED SCIENCES. - ISSN 2076-3417. - ELETTRONICO. - 7:11(2017). [10.3390/app7111108]

Low reynolds number flow around tori of different slenderness

de Tullio, MD.;Verzicco, R.
2017-01-01

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.
2017
Low reynolds number flow around tori of different slenderness / Lazeroms, Wmj.; de Tullio, Md.; De Santis, Nicola; Pizzoferrato, R.; Verzicco, R.. - In: APPLIED SCIENCES. - ISSN 2076-3417. - ELETTRONICO. - 7:11(2017). [10.3390/app7111108]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/123805
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