Bubble Trajectories and Equilibrium Levels in Vibrated Liquid Columns

1968 ◽  
Vol 90 (1) ◽  
pp. 125-132 ◽  
Author(s):  
J. M. Foster ◽  
J. A. Botts ◽  
A. R. Barbin ◽  
R. I. Vachon

An analysis of bubble behavior in a vertically vibrated liquid column and experimental results of equilibrium level determinations are presented. The analysis avoids the usual approximation of small bubble pulsation and predicts a nonharmonic volume pulsation; it can be used to predict bubble trajectories and equilibrium levels. The vibrational amplitude affects the bubble motion indirectly through its effect on the thermodynamic behavior of the bubble. The experimental results compare favorably with the analysis.

1976 ◽  
Vol 43 (3) ◽  
pp. 399-403 ◽  
Author(s):  
F. A. Morrison ◽  
M. B. Stewart

Low Reynolds number bubble motion in accelerating liquids is analyzed. Because of motion of the bubble surface, the flow about a bubble differs from the flow surrounding a rigid particle. A governing relation, equivalent to the Basset-Boussinesq-Oseen equation for rigid particle motion, is developed. Response characteristics of the bubble are presented. Bubble behavior is found to differ significantly from rigid particle behavior.


Author(s):  
Yuki Kato ◽  
Rie Arai ◽  
Akiko Kaneko ◽  
Hideaki Monji ◽  
Yutaka Abe ◽  
...  

In a nuclear power plant, one of the important issues is an evaluation of the safety of the reactor core and its pipes when an earthquake occurs. Many researchers have conducted studies on constructions of plants. Consequently, there is some knowledge about earthquake-resisting designs. However the influence of an earthquake vibration on thermal fluid inside a nuclear reactor plant is not fully understood. Especially, there is little knowledge how coolant in a core response when large earthquake acceleration is added. Some studies about the response of fluid to the vibration were carried out. And it is supposed that the void fraction and/or the power of core are fluctuated with the oscillation by the experiments and numerical analysis. However the detailed mechanism about a kinetic response of gas and liquid phases is not enough investigated, therefore the aim of this study is to clarify the influence of vibration of construction on bubbly flow behavior. In order to investigate the influence of vibration of construction on bubbly flow behavior, we visualized bubbly flow in pipeline on which sine wave was applied. In a test section, bubbly flow was produced by injecting gas into liquid flow through a horizontal circular pipe. In order to vibrate the test section, an oscillating table was used. The frequency and acceleration of vibration added from the oscillating table was from 1.0 Hz to 10 Hz and . 0.4 G (1 G=9.8 m/s2) at each frequency. The test section and a high speed video camera were fixed on the oscillating table. Thus the relative velocity between the camera and the test section was ignored. PIV measurement was also conducted to investigate interaction between bubble motion and surround in flow structure. Liquid pressure was also measured at upstream and downstream of the test section. The effects of oscillation on bubbly flow were quantitatively evaluated by these pressure measurements and the velocity field. In the results, it was observed that the difference of bubble motion by changing oscillation frequency. Moreover it was suggested that the bubble deformation is correlated with the fluctuation of liquid velocity field around the bubble and the pressure gradient in the flow area. In addition, these experimental results were compared with numerical simulation by a detailed two-phase flow simulation code with an advanced interface tracking method, TPFIT. Numerical simulation was qualitatively agreed with experimental results.


Author(s):  
Arris S. Tijsseling ◽  
Qingzhi Hou ◽  
Zafer Bozkuş

High pressures and high temperatures may arise in pipelines when a liquid column is suddenly accelerated into a gas pocket trapped at a closed end. A mass oscillation occurs that is described by nonlinear equations for both liquid and gas. Analytical expressions are derived for the uniform velocity of the liquid column, from which pressures and gas temperatures follow. The obtained results are validated against theoretical and experimental results published by fellow researchers.


1970 ◽  
Vol 92 (4) ◽  
pp. 635-640 ◽  
Author(s):  
G. M. Fuls ◽  
G. E. Geiger

It is an established phenomenon that bubbles can be stabilized in a vertically vibrating liquid column. The effect of bubble stabilization on the rate of pool boiling heat transfer is experimentally investigated. With the liquid and heating surface vibrating as a unit, the data indicates a decrease of up to 12 percent in the temperature difference necessary for a given heat flux within the range of frequencies from 200 to 300 cps. The experimental results and comparison with results of previous investigators show that the effect is unique and not due simply to the vibrations per se.


Geophysics ◽  
1994 ◽  
Vol 59 (11) ◽  
pp. 1729-1734 ◽  
Author(s):  
Daniel T. Johnson

An air‐gun bubble behaves approximately as a spherical bubble of an ideal gas in an infinite volume of practically incompressible water. With this simplification, the equation of bubble motion and its far‐field signature is more understandable than with the more exact theory commonly cited in the literature. The terms of the equation of bubble motion are explained using elementary physics and mathematics, computation of numerical results is outlined, and an example signature is shown. An air‐gun bubble is analogous to a simple harmonic oscillator consisting of a mass on a spring, with an equivalent mass equal three times that of the water displaced by the bubble, and air pressure following an ideal gas law corresponding to a spring. With this understanding, one is prepared to deal with the effects of interactions among air guns and with the higher‐order terms and other features that must be included to model the air‐gun signature of actual seismic source arrays.


2013 ◽  
Vol 68 (4) ◽  
pp. 783-790 ◽  
Author(s):  
Huanran Wang ◽  
Jingjing Yang ◽  
Shaomin Lei ◽  
Xinbing Wang

Bubble hydrodynamics is fundamental to the performance of the flotation process widely used in the separation industry. To compare the effect of biosurfactants and chemical synthetic surfactants on bubble hydrodynamics in the flotation process, the motion of a single bubble and the size distribution of bubble swarms in various surfactants (rhamnolipid, tea saponin and Triton X-100) solutions were observed directly using a high-speed video camera in a laboratory scale flotation column. Bubble trajectory, dimensions, velocity and size distribution were then determined through image analysis. The results indicated that the addition of biosurfactants had the same significant effects on bubble motion and size distribution as chemosynthetic surfactants. The biosurfactant effect on bubble behavior was also found to depend on their type and concentration. In general, the effect of tea saponin was stronger than another biosurfactant (rhamnolipid) used in the present study. The present findings implied that some biosurfactants like tea saponin can replace chemosynthetic surfactants in controlling bubble behavior in flotation operation. This will contribute to promoting the use of green environmentally friendly flotation agents in the separation industry.


Author(s):  
Morad Paknezhad ◽  
Tooraj Yousefi ◽  
Sajjad Sadeghi ◽  
Mehran Ahmadi

A numerical model, based on dynamic mesh, has been developed by FLUENT software, to simulate behavior of a positive displacement compressor. Only first compression stage of compressor was modeled. Modeling was done, by dividing the domain to three areas with different type meshes. Some relations were presented for volumetric, mechanical, isothermal, and overall isothermal performance, and thermodynamic analysis has been performed in term of these relations. Effects of outlet pressure and crankshaft’s angular velocity have been investigated on work, polytropic factor of compression, and efficiency. Numerical and experimental results have been compared, and a good agreement was seen between them.


1981 ◽  
Vol 9 ◽  
Author(s):  
M. Meyyappan ◽  
R. S. Subramanian ◽  
W. R. Wilcox ◽  
H. Smith

ABSTRACTGas bubble motion in a temperature gradient was observed in a sodium borate melt in a reduced gravity rocket experiment under the NASA SPAR program. Large bubbles tended to move faster than smaller ones, as predicted by theory. When the bubbles contacted a heated platinum strip, motion virtually ceased because the melt only imperfectly wets platinum. In some cases bubble diameter increased noticeably with time.


1981 ◽  
Vol 9 ◽  
Author(s):  
P. Annamalai ◽  
R. S. Subramanian ◽  
R. Cole

ABSTRACTSingle bubble behavior inside a rotating liquid-filled sphere is studied both experimentally and theoretically. In the limit of small values of the Taylor number, a quasi-static theoretical description of the motion of the bubble is developed. The analytical result thus obtained is compared with experiment and predicts the bubble trajectory as well as its asymptotic location which, in the presence of gravity, is not exactly on the axis of rotation.


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