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Research Papers: Techniques and Procedures

A Grid-Free Lagrangian Approach of Vortex Method and Particle Trajectory Tracking Method Applied to Internal Fluid-Solid Two-Phase Flows

[+] Author and Article Information
Yoshiyuki Iso

Heat and Fluid Dynamics Department, Research Laboratory, IHI Corporation, 1 Shin-Nakahara, Isogo, Yokohama, Kanagawa 235-8501, Japanyoshiyuki̱iso@ihi.co.jp

Kyoji Kamemoto

Graduate School of Engineering, Yokohama National University, 79-5 Tokiwadai, Hodogaya, Yokohama, Kanagawa 240-8501, Japankamemoto@ynu.ac.jp

J. Fluids Eng 130(1), 011401 (Dec 19, 2007) (10 pages) doi:10.1115/1.2813139 History: Received September 23, 2006; Revised August 18, 2007; Published December 19, 2007

We have developed a numerical simulation scheme combining a vortex method and a particle trajectory tracking method, which is applicable to internal unsteady two-phase flows. It is a completely grid-free Lagrangian–Lagrangian simulation, which is able to simulate the primary effect of vortical flow on the unsteady particle motion and dispersion. It can handle unsteady high Reynolds number flows. So far, no one has applied this kind of method internal multiphase flows, though many industrial multiphase flows are internal. In this study, internal liquid-solid two-phase flows in a vertical channel and a mixing tee have been calculated by the new method, in which use of the vortex introduction model enables the simulation of the dynamic behavior of separation or reattachment. In the mixing tee, solid particle phenomena such as depositions or particle-wall collisions have been simulated and measured. Numerical results based on simple two-dimensional flow and one-way model show good agreement with the experimental data. The results show that turbulent vortices dominate particle motion. It has been shown that the present method can be useful in the design of industrial multiphase flows with particle mixing, dispersion, deposition, and particle-wall collision because it is possible to simulate the effect of turbulent vortices on the particle motion.

Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Outline of present Lagrangian–Lagrangian simulation scheme applied to internal multiphase flows

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Figure 2

Introduction of nascent vortex elements from the wall

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Figure 3

Outline of the vertical channel flow problem

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Figure 4

Instantaneous distributions of vortex elements, fluid velocity, and solid particle

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Figure 5

Time-averaged streamwise velocities of liquid and solid particles

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Figure 6

Streamwise turbulence intensities of liquid and solid particles

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Figure 7

Outline of the mixing tee problem

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Figure 8

Experimental apparatus of the liquid-solid two-phase flow in the mixing tee

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Figure 9

Schematic of the measurement in mixing tee problem

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Figure 10

Instantaneous distributions of vortex elements and fluid velocity (confluent flow rate ratio: Q2∕Q1=2)

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Figure 11

Time-dependent liquid velocity at x∕W1=3.5 and y∕W1=0.5 (confluent flow rate ratio: Q2∕Q1=2)

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Figure 12

Numerical results of the forces on solid particle (confluent flow rate ratio: Q2∕Q1=2)

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Figure 13

Comparison between experiment and calculation for distribution of solid particles

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Figure 14

Numerical results of time-averaged volume concentration of particles at x∕W1=1, 2, 3, and 4

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Figure 15

Time-averaged streamwise velocity profiles of liquid and solid particles at x∕W1=0 and 1 (confluent flow rate ratio: Q2∕Q1=2)

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