Relevant bibliographies by topics / Bubble liquid mixture

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Bubble liquid mixture'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "Bubble liquid mixture"

1

Gao, Xin-Yi. "Density-fluctuation symbolic computation on the (3+1)-dimensional variable-coefficient Kudryashov–Sinelshchikov equation for a bubbly liquid with experimental support." Modern Physics Letters B 30, no. 15 (June 9, 2016): 1650217. http://dx.doi.org/10.1142/s0217984916502171.

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Liquids with gas bubbles are commonly seen in medical science, natural science, daily life and engineering. Nonlinear-wave symbolic computation on the (3[Formula: see text]+[Formula: see text]1)-dimensional variable-coefficient Kudryashov–Sinelshchikov model for a bubbly liquid is hereby performed. An auto-Bäcklund transformation and some solitonic solutions are obtained. With respect to the density fluctuation of the bubble-liquid mixture, both the auto-Bäcklund transformation and solitonic solutions depend on the bubble-liquid-viscosity, transverse-perturbation, bubble-liquid-nonlinearity and bubble-liquid-dispersion coefficient functions. We note that some shock waves given by our solutions have been observed by the gas-bubble/liquid-mixture experiments. Effects on a bubbly liquid with respect to the bubble-liquid-viscosity, transverse-perturbation, bubble-liquid-nonlinearity and bubble-liquid-dispersion coefficient functions might be detected by the future gas-bubble/liquid-mixture experiments.
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ABE, H., M. MORIKAWA, T. UEDA, R. NOMURA, Y. OKUDA, and S. N. BURMISTROV. "Visual observation of the bubble dynamics in normal 4He, superfluid 4He and superfluid 3He–4He mixtures." Journal of Fluid Mechanics 619 (January 25, 2009): 261–75. http://dx.doi.org/10.1017/s0022112008004436.

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In order to compare the bubble dynamics of various quantum liquids, we performed the visual observation of a sound-induced bubble in a normal liquid 4He, pure superfluid 4He, and superfluid 3He–4He liquid mixtures of saturated and unsaturated 3He concentrations. When an acoustic wave pulse was applied to these liquids under saturated vapour pressure, a macroscopic bubble was generated on the surface of a piezoelectric transducer. For all liquids, the size of the bubble increased, as a higher voltage was applied to the transducer at a fixed temperature. In the normal 4He we observed a primary bubble surrounded with many small bubbles which ascended upward together. In contrast to normal phase, only one bubble was generated in the superfluid 4He, and its shape proved to be highly irregular with an ill-defined surface. In the 3He saturated superfluid mixture, we also observed a solitary bubble but with a nearly perfect spherical shape. The bubble in this mixture expanded on the transducer surface, grew to a maximum size of the order of 1 mm and then started shrinking. As the bubble detached from the transducer with shrinking, we clearly detected an origination of the upward jet flow which penetrated the bubble. The jet velocity in the liquid mixture was approximately 102–103 times smaller than in water. At the final stage of the process we could sometimes observe a vortex ring generation. It is interesting that, though the bubble size and time scale of the phenomenon differ from those in water, the behaviour in the collapsing process had much in common with the simulation study of the vortex ring generation in water. In addition, for the mixture with the unsaturated 3He concentration of about 25% at 600 mK, the shape of the upward jet was observed distinctly, using more precise measurement with shadowgraph method.
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Vorobyev, M. A., O. N. Kashinskiy, P. D. Lobanov, and A. V. Chinak. "Bubble flow formation regimes in viscous liquid." Proceedings of the Mavlyutov Institute of Mechanics 11, no. 2 (2016): 254–62. http://dx.doi.org/10.21662/uim2016.2.037.

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The experimental study of the process of bubble detachment from a single capillary in downward liquid flow was performed. The glycerin was used as a working liquid. In order to study the effect of physical properties of liquid on the formation of bubbles experiment was conducted at different temperatures. Presented average bubble size is depended on parameters such as gas flow rate, temperature and volume velocity of liquid, as well as the capillary diameter. The data about the most characteristic mode of formation of the gas-liquid mixture was obtained. It is shown that coalescence of bubbles near the capillary is the process that determines the type of bubbles size distribution in the fluid flow. The regimes of bubble formation most suitable for the generation of a monodisperse, and bidisperse gas-liquid mixture are presented in the study.
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Oladokun, Olagoke, Arshad Ahmad, Adnan Ripin, Tuan A. T. Abdullah, Bemgba B. Nyakuma, Nur Amira Hadi, Ali H. Al-Shatri, Murtala Ahmed, Habib Alkali, and Aliyu A. Bello. "Modelling ultrasound waves bubble formation in ethanol/ethyl acetate azeotrope mixture." E3S Web of Conferences 90 (2019): 02005. http://dx.doi.org/10.1051/e3sconf/20199002005.

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The separation of an azeotropic mixture such as ethanol/ethyl acetate in distillation process can be enhanced by ultrasound wave. The application of ultrasound wave creates bubble cavitation in the mixture and shifts the vapour-liquid equilibrium favouring the separation of the azeotropic mixture. This study investigates the formation of bubbles in the mixture through modelling and simulation. The results obtained show that bubble formation at low ultrasound frequency is favoured by the increase in intensity, which has a direct relation to sonic pressure. The optimal sonic pressure for bubble formation at equilibrium is 5 atm and conforms to the model for small bubble formation with radius of 0.14 /<m. Furthermore, the maximum possible number of bubbles at equilibrium in the ethanol/ethyl acetate azeotropic mixture of 1 L is 91 × 1015. The developed model can be used to determine the optimal sonic pressure, sound intensity, size of bubble, and possible number of bubbles formed at equilibrium.
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D'AGOSTINO, LUCA, FABRIZIO D'AURIA, and CHRISTOPHER E. BRENNEN. "On the inviscid stability of parallel bubbly flows." Journal of Fluid Mechanics 339 (May 25, 1997): 261–74. http://dx.doi.org/10.1017/s0022112097005211.

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This paper investigates the effects of bubble dynamics on the stability of parallel bubbly flows of low void fraction. The equations of motion for the bubbly mixture are linearized for small perturbations and the parallel flow assumption is used to obtain a modified Rayleigh equation governing the inviscid stability problem. This is then used for the stability analysis of two-dimensional shear layers, jets and wakes. Inertial effects associated with the bubble response and energy dissipation due to the viscosity of the liquid, the heat transfer between the two phases, and the liquid compressibility are included. Numerical solutions of the eigenvalue problems for the modified Rayleigh equation are obtained by means of a multiple shooting method. Depending on the characteristic velocities of the various flows, the void fraction, and the ambient pressure, the presence of air bubbles can induce significant departures from the classical stability results for a single-phase fluid.
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SMEULDERS, D. M. J., and M. E. H. VAN DONGEN. "Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments." Journal of Fluid Mechanics 343 (July 25, 1997): 351–73. http://dx.doi.org/10.1017/s0022112097005983.

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The influence of a small amount of gas within the saturating liquid of a porous medium on acoustic wave propagation is investigated. It is assumed that the gas volumes are spherical, homogeneously distributed, and that they are within a very narrow range of bubble sizes. It is shown that the compressibility of the saturating fluid is determined by viscous, thermal, and a newly introduced Biot-type damping of the oscillating gas bubbles, with mean gas bubble size and concentration as important parameters. Using a super-saturation technique, a homogeneous gas–liquid mixture within a porous test column is obtained. Gas bubble size and concentration are measured by means of compressibility experiments. Wave reflection and propagation experiments carried out in a vertical shock tube show pore pressure oscillations, which can be explained by incorporating a dynamic gas bubble behaviour in the linear Biot theory for plane wave propagation.
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Kern, Ju¨rgen, and Peter Stephan. "Investigation of Decisive Mixture Effects in Nucleate Boiling of Binary Mixtures Using a Theoretical Model." Journal of Heat Transfer 125, no. 6 (November 19, 2003): 1116–22. http://dx.doi.org/10.1115/1.1622716.

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In the present paper an attempt is made to clarify the influence of mixture effects upon heat transfer in nucleate boiling of binary mixtures. The studies are based on a theoretical model that is briefly summarized. Evaluating heat and mass transfer around a single vapor bubble emphasizes a strong influence of the so-called micro region where the liquid-vapor phase interface approaches the wall. Due to the preferential evaporation of one component of the mixture, strong concentration gradients occur in the micro region. These microscale composition effects cause diffusive mass transfer, Marangoni convection, and a variation of the liquid-vapor phase equilibrium as well as a variation of the thermophysical properties. From a macroscopic point of view the bubble site density and the departure diameter vary with the composition of the liquid. By means of parameter studies decisive mixture effects are identified and their relevance in the nucleate boiling process is stated. The heat transfer coefficient crucially depends on the bubble site density and departure diameter. For increasing bubble site density, the influence of microscopic concentration gradients increases. But only the variation of liquid-vapor phase equilibrium becomes important, while diffusive mass transfer and Marangoni convection can be neglected.
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Minemura, Kiyoshi, and Tomomi Uchiyama. "Three-Dimensional Calculation of Air-Water Two-Phase Flow in Centrifugal Pump Impeller Based on a Bubbly Flow Model." Journal of Fluids Engineering 115, no. 4 (December 1, 1993): 766–71. http://dx.doi.org/10.1115/1.2910210.

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To predict the behavior of gas-liquid two-phase flows in a centrifugal pump impeller, a three-dimensional numerical method is proposed on the basis of a bubbly flow model. Under the assumption of homogeneous bubbly flow entraining fine bubbles, the equation of motion of the mixture is represented by that of liquid-phase and the liquid velocity is expressed as a potential for a quasi-harmonic equation. This equation is solved with a finite element method to obtain the velocities, and the equation of motion of an air bubble is integrated numerically in the flow field to obtain the void fraction. These calculations are iterated to obtain a converged solution. The method has been applied to a radial-flow pump, and the results obtained have been confirmed by experiments within the range of bubbly flow regime.
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Wang, Yi-Chun, and C. E. Brennen. "One-Dimensional Bubbly Cavitating Flows Through a Converging-Diverging Nozzle." Journal of Fluids Engineering 120, no. 1 (March 1, 1998): 166–70. http://dx.doi.org/10.1115/1.2819642.

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A nonbarotropic continuum bubbly mixture model is used to study the one-dimensional cavitating flow through a converging-diverging nozzle. The nonlinear dynamics of the cavitation bubbles are modeled by the Rayleigh-Plesset equation. Analytical results show that the bubble/bubble interaction through the hydrodynamics of the surrounding liquid has important effects on this confined flow field. One clear interaction effect is the Bernoulli effect caused by the growing and collapsing bubbles in the nozzle. It is found that the characteristics of the flow change dramatically even when the upstream void fraction is very small. Two different flow regimes are found from the steady state solutions and are termed: quasi-steady and quasi-unsteady. The former is characterized by large spatial fluctuations downstream of the throat which are induced by the pulsations of the cavitation bubbles. The quasi-unsteady solutions correspond to flashing flow. Bifurcation occurs as the flow transitions from one regime to the other. An analytical expression for the critical bubble size at the bifurcation is obtained. Physical reasons for this quasi-static instability are also discussed.
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SMEREKA, PETER. "A Vlasov equation for pressure wave propagation in bubbly fluids." Journal of Fluid Mechanics 454 (March 10, 2002): 287–325. http://dx.doi.org/10.1017/s002211200100708x.

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The derivation of effective equations for pressure wave propagation in a bubbly fluid at very low void fractions is examined. A Vlasov-type equation is derived for the probability distribution of the bubbles in phase space instead of computing effective equations in terms of averaged quantities. This provides a more general description of the bubble mixture and contains previously derived effective equations as a special case. This Vlasov equation allows for the possibility that locally bubbles may oscillate with different phases or amplitudes or may have different sizes. The linearization of this equation recovers the dispersion relation derived by Carstensen & Foldy. The initial value problem is examined for both ideal bubbly flows and situations where the bubble dynamics have damping mechanisms. In the ideal case, it is found that the pressure waves will damp to zero whereas the bubbles continue to oscillate but with the oscillations becoming incoherent. This damping mechanism is similar to Landau damping in plasmas. Nonlinear effects are considered by using the Hamiltonian structure. It is proven that there is a damping mechanism due to the nonlinearity of single-bubble motion. The Vlasov equation is modified to include effects of liquid viscosity and heat transfer. It is shown that the pressure waves have two damping mechanisms, one from the effects of size distribution and the other from single-bubble damping effects. Consequently, the pressure waves can damp faster than bubble oscillations.
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Dissertations / Theses on the topic "Bubble liquid mixture"

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Koch, Philipp. "Partikelmodellierung der Strukturbildung akustischer Kavitationsblasen in Wechselwirkung mit dem Schalldruckfeld." Doctoral thesis, 2006. http://www.gbv.de/dms/goettingen/524828539.pdf.

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Books on the topic "Bubble liquid mixture"

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Schaffers, Ir. Paulus, J. J. Wave propagation in electrically conducting mixtures of inhomogeneities in liquids. Aachen: Shaker, 1993.

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Bousman, William Scott. Studies of two-phase gas-liquid flow in microgravity. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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Bousman, William Scott. Studies of two-phase gas-liquid flow in microgravity. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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Zhao, Kai. Gas-liquid mixtures used as separation media. 1990.

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Studies of two-phase gas-liquid flow in microgravity. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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Book chapters on the topic "Bubble liquid mixture"

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Gumerov, Nail A. "On Waves of the Self-Induced Acoustic Transparency in Mixtures of Liquid and Vapor Bubbles." In IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems, 77–86. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0057-1_6.

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"Heat Transfer and Phase Transitions in Binary Mixtures of Liquids with Vapor Bubble." In Water Hammer Research, 59–83. Apple Academic Press, 2013. http://dx.doi.org/10.1201/b14599-4.

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Conference papers on the topic "Bubble liquid mixture"

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Reyes Mazzoco, Rene. "Efficacy of Microscopic Interconnected Channels and Surfactants on Enhancing Pool Boiling Heat Transfer." In ASME 2007 5th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2007. http://dx.doi.org/10.1115/icnmm2007-30211.

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Nucleate pool boiling heat transfer increases with certain liquid mixtures and some coatings over the heater’s surface. The effects of these modifications are best measured by the relative values of the convective heat transfer coefficient that quantify the ability for transferring heat. The mechanisms that increase pool boiling heat transfer are reflected in the formation of smaller bubbles that escape away from the heater’s surface at a higher velocity, than those formed under not enhanced conditions. The bubble diameter depends on a chemical effect from the liquid composition acting at the bubble’s interface, and on the physical effect of the porous coverings to break the bubbles and to allow the resulting vapor flow. The reduction in bubble diameter in liquid mixtures comes from the action of intermolecular forces at the liquid-vapor interface similar to those associated to surfactants. Several studies have concentrated on increasing the heat transfer coefficient in pool using surfactants in concentrations close to the critical micelle concentration (cmc) of the surfactant in the liquid. The surfactants achieve the highest reduction of bubble diameter by accommodating the lowest surface of their molecules at the interface. However, the mixture of 16% ethanol in water also showed an increase in the convective heat transfer coefficient by producing the lowest size of bubbles from any other ethanol-water mixture. Surface tension and sessile drop contact angle for this mixture have a behavior similar to the cmc; therefore, the mixture effect on boiling is explained through the presence of ethanol-hydrated-states accommodated at the interface. Other liquid mixtures, containing propylene glycol, ethylene glycol, ethanol and water, with cmc behavior had been found through surface tension and sessile contact angle measurements, and showed that they increased the heat transfer coefficient. The mechanical effect that increases the heat transfer coefficient with porous coverings has been explained as the breaking of emerging bubbles at the heater’s surface and the proper handling of the resulting vapor flow away from the covering. Experiments with a mesh located at a distance half the bubble diameter, at a specific power supplied, released the bubbles from the heater before finishing its formation increasing their departure frequency. An array of layers of the same mesh produced and additional increment in the heat transfer coefficient if the array is accommodated to favor the gas flow out of the heater’s region.
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Okita, K., Y. Matsumoto, and S. Takagi. "Propagation of Pressure Waves, Caused by a Thermal Shock, in Liquid Metals Containing Gas Bubbles." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77397.

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Propagation of pressure waves caused by a thermal shock in liquid metals containing gas bubbles is performed by a numerical simulation. The present study examined the influences of bubble radius and void fraction on the absorption of thermal expansion of liquid metals and attenuation of pressure waves. As the result of the calculation, since the large bubbles which have a lower natural frequency than the small bubbles cannot respond to the heat input, the peak pressure at the heated region increases with increasing bubble radius. Especially, when the bubble radii are around 500 μm, the pressure wave propagates through the mixture not with the sonic speed of the mixture but with that of liquid mercury. On the other hand, decreasing the void fraction makes behavior of bubbles nonlinear and a collapse of bubble produces a high pressure wave. However, the calculation shows that the method of introducing micro gas bubbles into liquid metals is effective to prevent cavitation erosion on the wall.
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Knauer, Oliver S., Andreas Braeuer, Matthias C. Lang, and Alfred Leipertz. "Measurement of Concentration and Temperature Gradients at Binary Mixture Boiling Bubbles." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22054.

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Due to the high heat flux available, nucleate boiling is one of the most utilized processes for the transfer of large amounts of heat in chemical or power engineering applications. Nevertheless, the basic physical phenomena of this kind of heat transfer are physically not well understood, especially for multi-component mixtures in which the heat transfer coefficient is a function of the mixture composition. To apprehend the binary mixture boiling phenomena, the knowledge of the composition and temperature field surrounding a boiling bubble near the heater surface is of great impact. These quantities are measured at individual boiling bubbles by means of laser-optical methods without disturbing the system and with high spatial resolution. An optical accessible and temperature adjustable boiling chamber for the generation of single bubbles of acetone-isopropanol mixtures was constructed. As the vapor-liquid equilibriums (VLE) of these mixtures show a large gap between the saturated liquid and vapor line, significant composition alterations occur during the phase transition. Concentration and temperature gradients have been measured along a line by linear Raman spectroscopy. Due to the species specific Raman shift and the linear superposition of the inelastic scattered light intensities, qualitative and quantitative composition information can be achieved. In alcohols, e.g. isopropanol, the molecules can develop hydrogen bonds, which have an impact on the shape of the O-H bind signal in the Raman spectrum. As the ratio of molecules with and without hydrogen bonds changes with temperature, the temperature of the liquid phase can be derived from the spectra as well. The results show an enhancement of isopropanol, the less volatile component, near the phase boundary due to preferential evaporation of acetone. Furthermore, a not expected depletion of isopropanol approximately 0.75 mm away from the bubble was measured. The detected temperature increases near the boiling bubble, indicating a heat transfer from the gas phase to the surrounding liquid. The temperature distribution also has a minimum at the same position as the isopropanol distribution. A species conservation calculation with simplified assumptions was carried out and validated the measured composition distribution in the liquid surrounding a boiling bubble.
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Cai, Chang, Hong Liu, Xi Xi, Ming Jia, Weilong Zhang, and Yang He. "Theoretical Model of Bubble Growth in Superheated Ethanol-Water Mixture." In ASME 2019 6th International Conference on Micro/Nanoscale Heat and Mass Transfer. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/mnhmt2019-3985.

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Abstract A novel model was developed to investigate the bubble growth characteristics in uniformly superheated ethanol-water (EtOH-H2O) mixture. The influence of the mass fraction of ethanol was discussed in detail. In the proposed model, the energy equation and the component diffusion equation for the liquid were respectively coupled with quadratic temperature and mass fraction distribution within the thermal and concentration boundary layers. The non-random two-liquid equation (NRTL) was adopted to obtain the vapor-liquid equilibrium of the binary mixture at the bubble surface. The comparison between the current calculated bubble radius with the available experimental data demonstrates the accuracy of the bubble growth model. The maximum mass diffusion limited growth rate was also proposed to quantify and illustrate the effect of mass diffusion on bubble growth. The results showed that the later stage of bubble growth in a binary mixture is controlled by both mass diffusion and heat transfer. The bubble growth characteristics strongly depend on the initial mass fraction of ethanol. Within a large concentration range, a higher content of ethanol is adverse to bubble growth at a constant superheat degree. The effect of mass diffusion on bubble growth becomes weaker with an increased initial mass fraction of ethanol.
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Kashinsky, O. N., M. A. Vorobyev, P. D. Lobanov, and A. V. Chinak. "Regimes of Formation of Bubbly Flows." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-60628.

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An experimental study of the process of bubble detachment from a single capillary was performed. Glycerin was used as a test liquid. To study the effect of physical properties of liquid on the process of bubble formation the experiments were conducted at different temperatures. The dependencies of mean bubble diameter on gas flow rate, liquid temperature and liquid velocity along with the size of capillary are presented. The data on the most typical regimes of bubbly mixture formation are obtained. The bubble coalescence near the capillary is shown to be the process which determines the shape of bubble size distribution in the flow.
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Law, Deify, Thomas Shepard, and Ibrahim Wardi. "A Combined Numerical and Experimental Study of Air Bubble Dynamics in Converging Section of Effervescent Atomizer." In ASME/JSME/KSME 2015 Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/ajkfluids2015-21100.

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Inside of an effervescent atomizer gas is injected into a liquid cross-flow in order to produce a bubbly two-phase mixture. The presence of gas bubbles leads to enhanced liquid break-up as compared to simple pressure atomization of the liquid phase alone [1]. In the present work, the dynamic shapes and sizes of single air bubbles injected in liquid water cross flow of an effervescent atomizer’s mixing chamber are investigated numerically and experimentally. Particular focus is aimed on the convergent channel section just prior to the atomizer exit orifice where the bubble experiences a significant drop in pressure. Volume of fluid (VOF) modeling and simulations are performed using the commercial computational fluid dynamics (CFD) code ANSYS FLUENT and further provide information on the liquid velocities near the air bubble. A high-speed imaging system and digital image processing are used for capturing experimental data on this highly dynamic process. The numerical results are compared with experimental visualizations to better understand the physical interactions between the two phases approaching the atomizer exit.
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Aramaki, Yuki, Takahito Suzuki, Ichiro Miya, Liancheng Guo, and Koji Morita. "Numerical Simulation of Single Bubble Moving in Stagnant Solid-Liquid Mixture Pool Using Finite Volume Particle Method." In 2013 21st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icone21-16688.

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Three-phase flow formed in a disrupted core of nuclear reactors is one of the key phenomena to be simulated in reactor safety analysis. Particle-based simulation could be a powerful CFD tool to understand and clarify local thermal-hydraulic behaviors involved in such three-phase flows. In the present study, to develop a computational framework for three-phase flow simulations, a single bubble moving in a stagnant solid particle-liquid mixture pool was simulated using the finite volume particle (FVP) method. The simulations were carried out in a two dimensional system. The bubble shape change and the bubble rise velocity were compared with the newly performed experiments, which used solid particulate glasses of 0.9 mm in diameter, liquid silicone and air. The two-phase flow simulation of a single bubble rising in a stagnant liquid pool reproduced measured bubble shape and bubble rise velocity reasonably. On the other hand, the bubble rise velocity in a stagnant particle-liquid mixture pool was overestimated in comparison with the measurement. This result suggests that particle-particle and particle-fluid interactions would have dominant influence on bubble motion behavior in the particle-liquid mixture pool under the present multiphase conditions. To evaluate such interactions in the simulations, the particle-particle interactions were modeled by the distinct element method (DEM), while two models were applied to represent particle-fluid interactions. One is the theoretical model for apparent viscosity of particle-liquid mixture, which describes the viscosity increase of liquid mixed with solids based on the Frankel-Acrivos equation. The other is the drag force model for solid-fluid interactions. In the present study, we took the Gidaspow drag correlation, which is a combination of the Ergun equation and Wen-Yu equation. A comparison of both the transient bubble shape and bubble rise velocity between the results of experiment and simulation demonstrates that the present computational framework based on the FVP method and solid-phase interaction models is useful for numerical simulations of a single bubble moving in a stagnant solid particle-liquid mixture pool.
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Xu, Zhiliang, Roman Samulyak, James Glimm, and Xiaolin Li. "Discrete Bubble Modeling of Unsteady Cavitating Flow." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98147.

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A discrete vapor bubble model is developed to simulate the unsteady cavitating flows. The mixed vapor-liquid mixture is modeled as a system of pure phase domains (vapor and liquid) separated by free interfaces. On the phase boundary, a numerical solution for the phase transition is developed for compressible flows.
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Uesawa, Shin-ichiro, Akiko Kaneko, and Yutaka Abe. "Estimation of Void Fraction in Dispersed Bubbly Flow With a Constant Electric Current Method." In 2013 21st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icone21-16279.

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In several void fraction measurement methods, electric void sensors are online measurement method, simple construction and lower cost. In electric measurement, we research on a constant electric current method which is one of conductance methods. By using this method, we can measure volumetric void fraction with higher temporal resolution although the method cannot measure 2D and 3D distribution of void fractions. Besides, multiple measuring electrodes can be installed at a short distance. And then, flow is not obstructed by measuring electrodes. However, the constant electrical current method has been applied in annular flow in previous studies. Void fraction is estimated by cross-sectional ratio of gas and liquid phases in this method. For this reason, dispersed bubbly flow is not applied because cross-section ratio is not continuous in a flow direction. In the present study, Maxwell’s theory, Bruggemann’s treatment and polarization method are applied in order to measure void fraction of dispersed bubbly flow more accurately. Maxwell’s theory is an estimation of a resistance of a mixture with two difference resistivity by calculating electric potential in the mixture. Bruggemann’s treatment is based on Maxwell’s theory but it implies the assumption of a large size-range of particles in surrounding medium. In polarization method, bubbles are assumed to be dielectric bodies. Therefore if voltage is applied to gas-liquid two-phase flow, electrical charges in bubbles are polarized, and polarization electrical field generates. A difference of voltages in bubbly flow and liquid single phase flow assumes to be caused by polarization fields. Void fraction in vertical flow is measured experimentally by the previous method, Bruggemann’s treatment, Maxwell’s theory and polarization method in order to investigate the accuracy of these estimations. Working fluid is air and tap water. The accuracy is measured by comparing with a quick shut valve method and observations. Besides, we investigate effects of flow structure and bubble shape to measurement accuracy. Flow structure is changed by changing gas and liquid volume flow rate. In the experiment for bubble shape, a rising bubble by buoyancy is measured. The bubble shape observed by a high speed video camera is compared with the electrical signal measured by the constant electric current method. From experimental results, it is confirmed that void fraction in bubbly flow and froth flow is estimated more accurately by Maxwell’s theory, Bruggemann’s treatment and polarization method, and change of bubble shape correlates with fluctuation of void fraction measured by the constant electric current method.
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Chaiko, Mark A. "Use of Thomas Algorithm for Shock Wave Analysis in Bubbly Flow." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85637.

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A numerical approach is developed for simulation of pressure wave propagation in a tube containing a dilute concentration of small gas bubbles. The two-phase fluid is considered homogeneous and spatial distribution of bubbles is assumed to be uniform. Bubble oscillations are modeled using the Keller equation which accounts for liquid compressibility. Heat transfer between liquid and gas is included in the analysis through solution of the radial conduction equation for a spherical gas bubble with moving interface. An energy balance over the bubble surface determines bubble internal pressure, which is assumed to be uniform. Continuity and momentum relations for the homogenous mixture along with the Keller equation are used to derive an alternate set of equations, which are more amenable to application of elementary numerical methods. These alternate equations include a diffusion equation, which is linear in the homogeneous mixture pressure. Two additional equations define the bubble radius and gas-liquid interface speed in terms of the local spatial variation in the homogeneous pressure field. The diffusion equation is solved easily using the second-order accurate Crank-Nicolson method in conjunction with the Thomas algorithm for the discretized tridiagonal algebraic system. The remaining equations comprising the fluid model are solved with an explicit, second-order accurate predictor-corrector scheme. The present approach avoids the need for staggered grids and iterative pressure correction methods used in previous work. Numerical calculations are carried out for a shock wave in a liquid column containing gas bubbles. Results show good agreement with experimental data available in the literature.
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Reports on the topic "Bubble liquid mixture"

1

Hamaguchi, H., and T. Sakaguchi. Velocity of large bubble in liquid-solid mixture in a vertical tube. Office of Scientific and Technical Information (OSTI), September 1995. http://dx.doi.org/10.2172/106992.

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