Unsteady transitional swirling flow in the presence of a moving free surface

Bouffanais, Roland; Jacono, David Lo

doi:10.1063/1.3156010

Cited by 18 publications

(11 citation statements)

References 49 publications

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“…Bouffanais and Jacono 17 Piva and Meiburg 6 Our calculation 900 ∼6.7 × 10 −2 ∼3 × 10 −2 3.2 × 10 −2 1500 ∼8.5 × 10 −2 No value 4.1 × 10 −2 iterative process with a relaxation factor α = 1. In contrast, the values of Bouffanais and Lo Jacono 17 are twice as large as ours even with a very small Froude number (Fr = 0.1). Furthermore, the disagreement is not only in the values of | h(0)−G Fr | but also about the global shape of the free surface as a function of the radius r (see Figure 3(a) of Bouffanais and Lo Jacono 17 ).…”

Section: Rementioning

confidence: 80%

Free surface due to a flow driven by a rotating disk inside a vertical cylindrical tank: Axisymmetric configuration

Kahouadji

Witkowski

2014

Physics of Fluids

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The flow driven by a rotating disk at the bottom of an open fixed cylindrical cavity is studied numerically and experimentally. The steady axisymmetric Navier-Stokes equations projected onto a curvilinear coordinate system are solved by a Newton-Raphson algorithm. The free surface shape is computed by an iterative process in order to satisfy a zero normal stress balance at the interface. In previous studies, regarding the free surface deflection, there is a significant disagreement between a first-order approximation [M. Piva and E. Meiburg, "Steady axisymmetric flow in an open cylindrical container with a partially rotating bottom wall," Phys. Fluids 17, 063603 (2005)] and a full numerical simulation [R. Bouffanais and D. Lo Jacono, "Unsteady transitional swirling flow in the presence of a moving free surface," Phys. Fluids 21, 064107 (2009)]. For a small deflection, the first-order approximation matches with our numerical simulation and for a large deflection a good agreement is found with experimental measurements.

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Section: Rementioning

confidence: 80%

Free surface due to a flow driven by a rotating disk inside a vertical cylindrical tank: Axisymmetric configuration

Kahouadji

Witkowski

2014

Physics of Fluids

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“…There has been much interest in the flow in a cylinder driven by the rotation of the bottom when the top is a free surface [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Experimentally, the free surface is the interface between a liquid (typically water) and air.…”

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confidence: 99%

“…Very recent numerical simulations have allowed for small interface deformations [17], but they continued to assume the interface to be stress-free and ignored surface tension effects.…”

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confidence: 99%

Two-fluid confined flow in a cylinder driven by a rotating end wall

2012

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The flow of two immiscible fluids completely filling an enclosed cylinder and driven by the rotation of the bottom end wall is studied numerically. The simulations are in parameter regimes where there is significant advection of angular momentum, i.e., the disk rotation rate is fast compared to the viscous diffusion time. We consider two classes of scenarios. The first consists of cases that are straightforward to reproduce in physical experiments where only the rotation rate and the viscosity ratio of the fluids are varied. Then we isolate different forces acting on the system such as inertia, surface tension, and gravity by studying variations in individual governing parameters. The viscosity ratio determines how quickly the upper fluid equilibriates dynamically to the flow in the lower fluid and plays a major role in determining how vortex lines are bent in the neighborhood of the interface between the two fluids. This in turn determines the structure of the interfacial layer between the two swirling fluids, which is responsible for the flow in the upper fluid. The simulations show that even when there is significant interfacial deformation, both the dynamics and the equilibrium flow are dominated by vortex bending rather than vortex stretching. The simulations show that for the range of immiscible fluids considered, surface tension effects are significant. Increased surface tension reduces the degree to which the interface is deformed and the limit of zero surface tension is not an appropriate approximation.

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“…For some other applications such as the vortex dynamics (see e.g. [13,1,7,9]), turbulence transport across the air-sea interface (see e.g. [30,25]), and wind-induce surface drift (see e.g.…”

Section: Introductionmentioning

confidence: 99%