Lift Force on a Bubble Rising near a Wall in Water below Reynolds number of 20.

文男, 竹村; 周, 高木; 洋一郎, 松本

doi:10.1299/kikaib.68.1684

Cited by 2 publications

(9 citation statements)

References 10 publications

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“…In order to study the applicability of the proposed formulas, RFCM, MFCM-n, and MFCM-s, comparison with the experimental data for the trajectory of a rising bubble by Takemura et al [10] [11] [13] was performed.…”

Section: Results Of the Numerical Calculation And Comparison With Thementioning

confidence: 99%

“…The numerical calculation of the present study, on the other hand, has been performed at a smaller length of x in order to reduce the calculation load. In spite of this, it was possible to compare the experimental data and the results of Figure 2 shows comparisons of the test sections in the y-z plane and of the position of the bubble in the experiment performed by Takemura et al [10] [13] and in the present numerical study. In this study, the gravitational acceleration was 9.81 m/s 2 and the kinematic viscosity, ν , and the bubble radius, R, were taken to be equal to be the experimental conditions.…”

Section: Numerical Schemementioning

confidence: 89%

“…FCM was originally developed for the fluid including solid particles. Therefore, the calculation results using the original version of FCM were first compared with the results by Takemura et al [13], where the bubble surface was like a solid sphere. The numerical results proved to agree well for small Reynolds numbers, but not very well for comparatively large Reynolds numbers.…”

Section: Correction Of the Fcmmentioning

confidence: 99%

“…The bubble with a no-slip surface or a slip surface will be called the no-slip bubble or the slip bubble, respectively, henceforth in this paper. Then, we compared the results of the numerical simulation with the experimental results of Takemura et al [10] [11] [13]. We used the same kinematic viscosity of the fluid and bubble radius over a wide range of the Reynolds number (<20) to confirm the validity of our new theory.…”

mentioning

confidence: 90%

“…In order to examine the terminal velocity (or drag) and the lift force, they proposed theoretical formulas by modifying the analysis of Vasseur and Cox [12], and compared them with their experimental results. Then, in the [13], they measured the lift force acting on the bubble in the direction away from the wall when the bubble surface was like a solid sphere by adding surfactant in-Open Journal of Fluid Dynamics to water to induce the Marangoni effect [14]. A theoretical formula for the lift force was also proposed in a similar manner to the slip boundary case and compared with their experimental results.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Application of the Modified Force-Coupling Method of Tracing the Trajectories of Spherical Bubbles with Solid-Like and Slip Surfaces

Guan¹,

Yanase²,

Matsuura³

et al. 2017

OJFD

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The force-coupling method (FCM) developed by Maxey and Patel (2001) was modified and applied to trace the trajectories of spherical bubbles with solid-like and slip surfaces. Careful comparison was made to the experimental results of Takemura et al. (2000, 2002a, 2002b). First, the result obtained by use of the original version of the FCM was compared to the experimental results. It was found that the original FCM was not feasible for tracing spherical bubble trajectories. Then, a correction was made to the FCM calculation of the bubble velocity by renormalization in terms of the bubble Reynolds number, which could very well trace the trajectory of the bubble with a solid-like, no-slip surface, but not that of a bubble with a slip surface. Finally, a substantial correction was made to the monopole term of the FCM, which could trace the trajectory of a bubble with a solid-like or slip surface very well even for the Reynolds number up to 20.

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Section: Results Of the Numerical Calculation And Comparison With Thementioning

confidence: 99%

Section: Numerical Schemementioning

confidence: 89%

Section: Correction Of the Fcmmentioning

confidence: 99%

mentioning

confidence: 90%

mentioning

confidence: 99%

See 3 more Smart Citations

Application of the Modified Force-Coupling Method of Tracing the Trajectories of Spherical Bubbles with Solid-Like and Slip Surfaces

Guan¹,

Yanase²,

Matsuura³

et al. 2017

OJFD

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Numerical Study of the Lift Force, Velocities and Pressure Distribution of a Single Air Bubble and Two Interacting Air Bubbles Rising in Quiescent Liquid

Guan¹,

Yanase²,

Matsuura³

et al. 2020

OJFD

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The study of multiphase flow consisting of liquid and air bubbles has been attracting the interest of many researchers. Numerical methods for such a system are, however, facing difficulty in numerical accuracy and a heavy computational load. In this paper, we made corrections to the modified force-coupling method in our previous papers and applied it to the numerical studies of a single air bubble rising near a vertical wall and two interacting air bubbles rising in line in quiescent liquid. Corrections were made to the effective ranges of the force-coupling method. The calculation results showed that the lift force acting on an air bubble obtained by the experimental data was more accurately reproduced than those by our previous method. We accurately calculated the time evolution of the velocities of interacting two air bubbles rising in line obtained in the previous experiments and resolved the physical mechanism of the relative movement of two bubbles. We also found the present method is much quicker and needs much smaller memory capacity than other methods, such as the volume of fluid method.

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Lift Force on a Bubble Rising near a Wall in Water below Reynolds number of 20.

Cited by 2 publications

References 10 publications

Application of the Modified Force-Coupling Method of Tracing the Trajectories of Spherical Bubbles with Solid-Like and Slip Surfaces

Application of the Modified Force-Coupling Method of Tracing the Trajectories of Spherical Bubbles with Solid-Like and Slip Surfaces

Numerical Study of the Lift Force, Velocities and Pressure Distribution of a Single Air Bubble and Two Interacting Air Bubbles Rising in Quiescent Liquid

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