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Three-dimensional flow around two tandem circular cylinders with various spacing at \(\text{Re}=220\). (English) Zbl 1208.76027

Summary: The flow around two tandem circular cylinders was studied by a three-dimensional numerical simulation of the Navier-stokes equations at \(\text{Re}=220\). The improved virtual boundary method was applied to model the no-slip boundary condition of the cylinders. The results show that as the spacing ratio \(L/D\geq 4\), the three dimensionality occurs in the wake. When \(L/D\leq 3.5\) the wake keeps a two-dimensional state at the Reynolds number \(\text{Re}=220\). The critical spacing for the appearance of three-dimensional instability obtained is at the range \(3.5< L/D <4\), similar to the critical spacing found in two-dimensional case. Two sources of instability from upstream and downstream cylinder generate a complicated vortex structures in the wake, investigated by streamlines topology analysis in the streamwise plane. Many other interesting problems were also addressed in this paper.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76M20 Finite difference methods applied to problems in fluid mechanics
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