Effects of Eötvös Number and Dimensionless Liquid Volumetric Flux on Lateral Motion of a Bubble in a Laminar Duct Flow

Tomiyama, Akio; Sou, Akira; Žun, Iztok; Kanami, N.; Sakaguchi, Tadashi

doi:10.1016/b978-0-444-81811-9.50005-6

Cited by 80 publications

(71 citation statements)

References 11 publications

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“…In the case of upward shear liquid flow, bubbles would tend to migrate to the regions in which the liquid velocity has a minimum value, i.e., towards the channel walls. This is, however, true for small bubbles only, whose effective bubble diameter does not exceed the critical value of 5.6 mm (for air-water flows at ambient conditions) as pointed out in the work of Tomiyama (1998). Consequently, the bubbles would accumulate in the close proximity to the wall as they rise in the vertical duct.…”

Section: Introductionmentioning

confidence: 83%

Bubble-wall interactions in a vertical gas–liquid flow: Bouncing, sliding and bubble deformations

Zaruba

Lucas

Prasser

et al. 2007

Chemical Engineering Science

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Section: Introductionmentioning

confidence: 83%

Bubble-wall interactions in a vertical gas–liquid flow: Bouncing, sliding and bubble deformations

Zaruba

Lucas

Prasser

et al. 2007

Chemical Engineering Science

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“…Numerical [32] and experimental [33] investigations showed that the direction of the lift force changes its sign, if substantial deformations of the bubble occur. Tomiyama et al [34] conducted investigations on single bubbles and derived a correlation for the coefficient of the lift force C L from these experiments, which depend on the Eötvös number.…”

Section: Constitutive Models For Interfacial Momentum Transfermentioning

confidence: 99%

The dependence of wall lubrication force on liquid velocity in turbulent bubbly two-phase flows

Nguyen

Song

Bae

et al. 2013

Journal of Nuclear Science and Technology

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Based on the significance of a computational fluid dynamics (CFD) simulation of dispersed two-phase flow systems in many engineering fields, especially in nuclear energy systems, extensive analytical and numerical studies of wall lubrication force for vertical upward turbulent bubbly two-phase flow are presented. An analytical expression of the wall lubrication force considering the effect of liquid velocity is developed and analyzed. A numerical methodology for evaluating the wall lubrication force coefficients is proposed, which is based on the assumption that the balance of the forces acting on a bubble perpendicularly to the flow direction determines the establishment of radial void fraction profiles. Wall lubrication force coefficients are determined based on a reasonable agreement in radial void fraction profiles between numerical results predicted by the CFD EAGLE (elaborated analysis of gas-liquid flows evolution) code and extensive experimental database in the open literature as well as experiments performed at the Korea Atomic Energy Research Institute-vertical air-water loop test facility. Liquid velocity dependence of wall lubrication force is clearly shown in both analytical and numerical ways in the present study, and new correlations are then proposed for the wall lubrication force coefficients.

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“…This asymmetric effect generates a hydrodynamic force which drives a bubble away from the wall. The effect of the wall force on the bubble behavior inside a parallel-wall was studied by Tomiyama et al 26) Their correlations were used in this study, where the force is defined as…”

Section: Valukina's Experimentsmentioning

confidence: 99%

Analysis of the Void Distribution in a Circular Tube with the Two-Fluid Particle Interacthion Method

Shirakawa

Horie

Yamamoto

et al. 2001

Journal of Nuclear Science and Technology

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A particle interaction method called MPS (Moving Particle Semi-Implicit) has been developed in recent years, which formulates the differential operators in Navier-Stokes' equation as interactions between particles characterized by a kernel function and adopts a mesh-free algorithm. This method is suitable especially for treating fluid breakup. We have extended this method to a two-fluid (liquid-liquid and gas-liquid) system and introduced a potential-type surface tension to calculate the two-phase flow without experimental correlation. With this extended method, a several number of two-phase flow experiments were analyzed successfully as reported in our previous paper. Herein, as one of the verification studies, the experiment by Valukina et al. was analyzed to show that our method could reproduce the bubble size effect on the radial void distribution in a circular tube. The experiment showed that the radial void distribution changes drastically as the bubble size changes. Our previous work with SIMMER-IV code which has a general solver for multi-phase flows revealed that the "lateral lift force" and "wall force" should be introduced into the momentum conservation equation to reproduce the bubble size effect. We evaluated these forces using the velocities of particles calculated by our particle method and compared with the SIMMER-IV results.

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Effects of Eötvös Number and Dimensionless Liquid Volumetric Flux on Lateral Motion of a Bubble in a Laminar Duct Flow

Cited by 80 publications

References 11 publications

Bubble-wall interactions in a vertical gas–liquid flow: Bouncing, sliding and bubble deformations

Bubble-wall interactions in a vertical gas–liquid flow: Bouncing, sliding and bubble deformations

The dependence of wall lubrication force on liquid velocity in turbulent bubbly two-phase flows

Analysis of the Void Distribution in a Circular Tube with the Two-Fluid Particle Interacthion Method

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