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Research Papers: Techniques and Procedures

Three-Dimensional Vortex Method for the Simulation of Bubbly Flow

[+] Author and Article Information
Tomomi Uchiyama1

EcoTopia Science Institute, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japanuchiyama@is.nagoya-u.ac.jp

Shoji Matsumura

Graduate School of Information Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan

1

Corresponding author.

J. Fluids Eng 132(10), 101402 (Oct 12, 2010) (8 pages) doi:10.1115/1.4002574 History: Received January 15, 2010; Revised September 15, 2010; Published October 12, 2010; Online October 12, 2010

This study proposes a three-dimensional vortex method for the simulation of bubbly flow. The method discretizes the vorticity field by vortex elements. The behavior of the vortex element and the bubble motion are simultaneously analyzed with the Lagrangian approach to compute the time evolution of the flow. This study also applies the vortex method to the simulation of a bubble plume to demonstrate the validity of the method. In a tank containing water, small hydrogen bubbles are released from the bottom of the tank. The bubbles rise due to the buoyant force and induce the water flow around them. The simulation for the plume at the starting period highlights that the rising bubbles induce large-scale eddies at their top and that the bubbles are entrained into the eddies. The simulation for the developed plume demonstrates that large-scale eddies appear around the rising bubbles and that they cause the meandering behavior of the plume. Such three-dimensional features of the bubble plume are favorably compared with the experimental results, indicating the validity of the proposed vortex method.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Calculation of gas volume fraction αg

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Figure 2

Configuration of bubble plume and computational domain

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Figure 3

Time evolution for number of vortex elements (Qg=0.0043 mm3/s mm)

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Figure 4

Time evolution of bubble distribution for starting plume (Qg=0.0043 mm3/s mm)

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Figure 5

Water velocity distribution for starting plume at t=33 s(Qg=0.0043 mm3/s mm)

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Figure 6

Vorticity distribution for starting plume at t=33 s(Qg=0.0043 mm3/s mm)

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Figure 7

Isosurface of Q/(ugt/D)2=0.16 for starting plume at t=33 s(Qg=0.0043 mm3/s mm)

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Figure 8

Rising velocity of starting plume

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Figure 9

Bubble distribution for developed plume (Qg=0.0043 mm3/s mm)

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Figure 10

Water velocity distribution for developed plume at t=55 s(Qg=0.0043 mm3/s mm)

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Figure 11

Vorticity distribution for developed plume at t=55 s(Qg=0.0043 mm3/s mm)

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Figure 12

Isosurface of Q/(ugt/D)2=0.16 for developed plume at t=55 s(Qg=0.0043 mm3/s mm)

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Figure 13

Water velocity on plume centerline at z=50 mm for developed plume

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