Numerical simulation of the interaction between vortex ring and bubble plume

Wang, Zhiwei; Uchiyama, Tomomi; Chen, Bin

doi:10.1016/j.apm.2013.05.061

Cited by 10 publications

(16 citation statements)

References 38 publications

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“…It has been reported that bubble motion is mainly governed by the vortical flows; hence, the important canonical problem of the interaction between the bubbles and the vortical flow is often used to discover the characteristics of bubbly two-phase flows. Vortical flows can be idealized, such as Taylor–Green vortex (Druzhinin and Elghobashi, 1998; Ferrante and Elghobashi, 2007), Taylor–Couette (Chouippe et al , 2014), Lamb–Oseen vortex (Oweis et al , 2005) and Taylor vortex (Deng et al , 2006), and natural phenomena of fluid dynamics of vortex rings (Bergdorf et al , 2007; Cihonski et al , 2013; Finn et al , 2011; Sridhar and Katz, 1999; Uchiyama and Kusamichi, 2013; Uchiyama and Yoshii, 2015; Wang et al , 2013).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of the interaction between a vortex ring and a bubble plume

Nguyen

Degawa

Uchiyama

2019

HFF

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Purpose This paper aims to provide discussions of a numerical method for bubbly flows and the interaction between a vortex ring and a bubble plume. Design/methodology/approach Small bubbles are released into quiescent water from a cylinder tip. They rise under the buoyant force, forming a plume. A vortex ring is launched vertically upward into the bubble plume. The interactions between the vortex ring and the bubble plume are numerically simulated using a semi-Lagrangian–Lagrangian approach composed of a vortex-in-cell method for the fluid phase and a Lagrangian description of the gas phase. Findings A vortex ring can transport the bubbles surrounding it over a distance significantly depending on the correlative initial position between the bubbles and the core center. The motion of some bubbles is nearly periodic and gradually extinguishes with time. These bubble trajectories are similar to two-dimensional-helix shapes. The vortex is fragmented into multiple regions with high values of Q, the second invariant of velocity gradient tensor, settling at these regional centers. The entrained bubbles excite a growth rate of the vortex ring's azimuthal instability with a formation of the second- and third-harmonic oscillations of modes of 16 and 24, respectively. Originality/value A semi-Lagrangian–Lagrangian approach is applied to simulate the interactions between a vortex ring and a bubble plume. The simulations provide the detail features of the interactions.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of the interaction between a vortex ring and a bubble plume

Nguyen

Degawa

Uchiyama

2019

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“…The strength of the vortex element γ n is defined as the dot product between the circulation and the length vector l n of vortex element. The detailed information of vortex element can be seen in our previous work [7][8]. The vorticity of gas phase ω is recorded on a regular Eulerian mesh, which can be obtained by the summation of the contribution induced by all vortex elements…”

Section: The Vorticity Equation and Solving Methodsmentioning

confidence: 99%

“…They [6] then developed this method to a three-dimensional particulate jet induced by free falling particles, but the vorticity field was still calculated in the Lagrangian frame which is time-consuming. Chen et al [7] and Wang et al [8] developed a two-way coupling Vortex-In-Cell method to simulate the bubbly gas-liquid flow, which was convenient and fast to handle the two-way coupling and did fast calculation. The motivation of this paper is to apply this efficient VIC method for gas-particle flow simulation.…”

Section: Introductionmentioning

confidence: 99%

Vortex-In-Cell Simulation of Free Falling Particulate Jet

Wang

Chen

2015

Procedia Engineering

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A two-way coupling three-dimensional Vortex-In-Cell (VIC) method is developed for the simulation of gas-solid turbulent flow. The evolution of vortex elements and the motion of solid particles are tracked in the Lagrangian frame, while the flow field is solved by the vorticity Poisson equation on the Eulerian grid. Two-way coupling is implemented by introducing a vorticity source term induced by the motion of particle. This method is applied to simulate the particulate jet generated by solid particles falling from a circular orifice into unbounded quiescent air. The simulation results agree well with the experiment conducted by Ogata, which confirmed the validation of this method. The simulation results demonstrate that the air velocity radial distribution due to the particulate jet satisfies Gaussian distribution. The particle flow rate has little influence on the spread of particles, while velocity of particles increases with increasing the particle flow rate.

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“…Research on such interactions has scarcely been reported except for the studies of Sridhar and Katz [6], [7] and Higuera [8], which investigated the motion of a single bubble in a vortex core and the bubble-induced deformation of a vortex ring. Thus, the current authors [9][10][11][12] researched possible entrainment and transport of small bubbles by a vortex ring. Uchiyama [9] conducted a numerical simulation of a water jet laden with small air bubbles and showed that a vortex ring induced near the nozzle outlet by an axisymmetric disturbance involves the bubbles and convects with the bubbles along the jet centerline.…”

Section: Introductionmentioning

confidence: 99%

“…Uchiyama and Yoshii [10] simulated the bubble motion and the behavior of a vortex ring launched toward a bubble cluster, and they demonstrated the entrainment and transport of the bubbles by the vortex ring as well as the change in the strength of the vortex ring because of the entrained bubbles. Wang et al [11] simulated the interaction between a bubble plume and a vortex ring and reported the effect of the bubbles on the behavior of the vortex ring. Uchiyama and Kusamichi [12] performed an experimental study to explore the interaction between a bubble cluster and a vortex ring.…”

Section: Introductionmentioning

confidence: 99%

Control of Air Bubble Cluster by a Vortex Ring Launched into Still Water

Uchiyama¹,

Kusamichi²

2017

IJCEA

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An experimental study searching for the possible generation and transport of a bubble cluster by a vortex ring in water is performed. A vortex ring is launched vertically upward into a water tank by discharging the water from a cylinder mounted at the bottom of the tank with a piston. Air bubbles are successively injected into the vortex ring from a needle attached to the cylinder outlet. The cylinder inner diameter D 0 and the piston stroke L 0 are 42.5 mm and 100 mm, respectively. The circulation of the vortex ring is less than 20000, and accordingly laminar vortex rings are launched. The mean diameter of the bubbles is 3.4 mm. The generation of bubble cluster and transport of the cluster by the vortex ring can be classified into four patterns according to the piston velocity (strength of the vortex ring) and the air volumetric flow rate. When the strength of the vortex ring is low, the bubbles are less affected by the vortex ring and instead rise with the buoyant force at a higher velocity than the vortex ring. With an increase in the strength of the vortex ring, the bubbles are entrained in the vortex core and form a cluster. The bubbles entrained in the vortex core circumferentially disperse around the vertical axis of the vortex ring, and they are successfully transported by the convection of the vortex ring. The convection velocity of the vortex ring is scarcely affected by the entrained bubbles, but the radius is enlarged slightly. The circulation of a vortex ring that entrains and transports air bubbles in this study is nearly accurately predicted by the formula of Milenkovic et al., which gives the circulation of a vortex ring entraining a single bubble in the vortex core. Index Terms-Bubble cluster, bubble entrainment, vortex ring, vorticity, visualization.

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Numerical simulation of the interaction between vortex ring and bubble plume

Cited by 10 publications

References 38 publications

Numerical simulation of the interaction between a vortex ring and a bubble plume

Numerical simulation of the interaction between a vortex ring and a bubble plume

Vortex-In-Cell Simulation of Free Falling Particulate Jet

Control of Air Bubble Cluster by a Vortex Ring Launched into Still Water

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