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Low Reynolds Number Flow Around Tori of Different Slenderness Γ

Werner Lazeroms, Marco de Tullio, Nicola De Santis, Roberto Pizzoferrato, Roberto Verzicco
2017 Applied Sciences  
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 = 2a/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
more » ... ll region of the Re-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.
doi:10.3390/app7111108 fatcat:66tihex45bcg7ixe3kj4ueokz4