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Journal articles on the topic 'Bubbly liquid'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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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 (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 an

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2

Prakash, Vivek N., J. Martínez Mercado, Leen van Wijngaarden, et al. "Energy spectra in turbulent bubbly flows." Journal of Fluid Mechanics 791 (February 15, 2016): 174–90. http://dx.doi.org/10.1017/jfm.2016.49.

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We conduct experiments in a turbulent bubbly flow to study the nature of the transition between the classical $-5/3$ energy spectrum scaling for a single-phase turbulent flow and the $-3$ scaling for a swarm of bubbles rising in a quiescent liquid and of bubble-dominated turbulence. The bubblance parameter (Lance & Bataille J. Fluid Mech., vol. 222, 1991, pp. 95–118; Rensen et al., J. Fluid Mech., vol. 538, 2005, pp. 153–187), which measures the ratio of the bubble-induced kinetic energy to the kinetic energy induced by the turbulent liquid fluctuations before bubble injection, is often us

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3

Jia, Zheng, Mingjun Pang, and Ruipeng Niu. "Numerical Investigation on Effect of Bubbles Arrangement and Volume Fraction on Apparent Viscosity of Bubbly Suspensions." Recent Innovations in Chemical Engineering (Formerly Recent Patents on Chemical Engineering) 16, no. 4 (2023): 285–304. http://dx.doi.org/10.2174/0124055204268474230922054143.

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Background:: Bubbly suspensions can be often run into in natural and industrial processes. The addition of bubbles with different sizes can lead to a significant change in the rheological properties of a matrix liquid. It is extremely significant to fully understand the rheological properties of bubbly suspensions for improving process efficiencies and optimizing productive processes. background: Bubbly suspensions can be often run into in natural and industrial processes. The addition of bubbles of different sizes can greatly change the rheological properties of matrix liquid. It is extremely

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4

Serbout, Sanae, Laurent Maxit, and Frédéric Michel. "Vibration of a stiffened pipe filled with a bubbly liquid: analysis of resonance frequencies in function of bubble fraction." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 5 (2021): 1008–18. http://dx.doi.org/10.3397/in-2021-1730.

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The characterization of the presence of bubbles in industrial fluid circuits may be extremely important for many safety issuses. It is well known that the acoustic properties of liquids can be drastically modified by a small amount of gaz content in the liquid. At sufficiently low frequencies, the speed of sound depends primarily on the gas volume fraction. The variation of the gas fraction may then induce some variations in the vibroacoustic behavior of the pipe transporting the liquid. Analysis of the pipe vibrations can then help in the monitoring of the bubble presence. In such a context,

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5

MUDDE, ROBERT F., and TAKAYUKI SAITO. "Hydrodynamical similarities between bubble column and bubbly pipe flow." Journal of Fluid Mechanics 437 (June 22, 2001): 203–28. http://dx.doi.org/10.1017/s0022112001004335.

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The hydrodynamical similarities between the bubbly flow in a bubble column and in a pipe with vertical upward liquid flow are investigated. The system concerns air/water bubbly flow in a vertical cylinder of 14.9 cm inner diameter. Measurements of the radial distribution of the liquid velocity, gas fraction and the bubble velocity and size are performed using laser Doppler anemometry for the liquid velocity and a four-point optical fibre probe for the gas fraction, bubble velocity and size. The averaged gas fraction was 5.2% for the bubble column (with a superficial liquid velocity of zero) an

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6

Wang, Yu, Dehua Chen, Xueshen Cao, and Xiao He. "Theoretical and Experimental Studies of Acoustic Reflection of Bubbly Liquid in Multilayer Media." Applied Sciences 12, no. 23 (2022): 12264. http://dx.doi.org/10.3390/app122312264.

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Bubbly liquids are widely present in the natural environment and industrial fields, such as seawater near the ocean bottom, the multiphase flow in petroleum reservoirs, and the blood with bubbles resulting in decompression sickness. Therefore, accurate measurement of the gas content is of great significance for hydroacoustic physics, oil and gas resources exploration, and disease prevention and diagnosis. Trace bubbles in liquids can lead to considerable changes in the acoustic properties of gas–liquid two-phase media. Acoustic measurements can therefore be applied for trace bubble detection.

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Reeder, D. Benjamin, John E. Joseph, Thomas A. Rago, Jeremy M. Bullard, David Honegger, and Merrick C. Haller. "Acoustic spectrometry of bubbles in an estuarine front: Sound speed dispersion, void fraction, and bubble density." Journal of the Acoustical Society of America 151, no. 4 (2022): 2429–43. http://dx.doi.org/10.1121/10.0009923.

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Estuaries constitute a unique waveguide for acoustic propagation. The spatiotemporally varying three-dimensional front between the seawater and the outflowing freshwater during both flood and ebb constitutes an interfacial sound speed gradient capable of supporting significant vertical and horizontal acoustic refraction. The collision of these two water masses often produces breaking waves, injecting air bubbles into the water column; the negative vertical velocities of the denser saltwater often subduct bubbles to the bottom of these shallow waveguides, filling the water column with a bubbly

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8

Fattakhov, S. R. "Study of pressure wave dynamics in a channel with a spherical bubble cluster." Multiphase Systems 18, no. 1 (2023): 27–31. http://dx.doi.org/10.21662/mfs2023.1.004.

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The features of wave propagation in a bubbly liquid are associated with the combined interaction of nonlinear, dispersive, and dissipative effects. In a liquid with bubbles, the properties of a practically incompressible liquid, which is a carrier phase, change dramatically with a small volume (and even more so, mass) addition of gas (bubbles), which is a dispersed phase. The peculiarity of bubbly liquids is due to their high static compressibility while maintaining a high density close to that of the liquid, which in turn leads to a low equilibrium speed of sound. In this paper, we study two-

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9

Lu, Tianshi, Roman Samulyak, and James Glimm. "Direct Numerical Simulation of Bubbly Flows and Application to Cavitation Mitigation." Journal of Fluids Engineering 129, no. 5 (2006): 595–604. http://dx.doi.org/10.1115/1.2720477.

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The direct numerical simulation (DNS) method has been used to the study of the linear and shock wave propagation in bubbly fluids and the estimation of the efficiency of the cavitation mitigation in the container of the Spallation Neutron Source liquid mercury target. The DNS method for bubbly flows is based on the front tracking technique developed for free surface flows. Our front tracking hydrodynamic simulation code FronTier is capable of tracking and resolving topological changes of a large number of interfaces in two- and three-dimensional spaces. Both the bubbles and the fluid are compr

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10

Ekambara, K., R. Sean Sanders, K. Nandakumar, and J. H. Masliyah. "CFD Modeling of Gas-Liquid Bubbly Flow in Horizontal Pipes: Influence of Bubble Coalescence and Breakup." International Journal of Chemical Engineering 2012 (2012): 1–20. http://dx.doi.org/10.1155/2012/620463.

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Modelling of gas-liquid bubbly flows is achieved by coupling a population balance equation with the three-dimensional, two-fluid, hydrodynamic model. For gas-liquid bubbly flows, an average bubble number density transport equation has been incorporated in the CFD code CFX 5.7 to describe the temporal and spatial evolution of the gas bubbles population. The coalescence and breakage effects of the gas bubbles are modeled. The coalescence by the random collision driven by turbulence and wake entrainment is considered, while for bubble breakage, the impact of turbulent eddies is considered. Local

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11

Fuster, D., and T. Colonius. "Modelling bubble clusters in compressible liquids." Journal of Fluid Mechanics 688 (October 21, 2011): 352–89. http://dx.doi.org/10.1017/jfm.2011.380.

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AbstractWe present a new model for bubbly cavitating flows. Based on volume-averaged equations, a subgrid model is added to account for a bubble, or multiple bubbles, within each computational cell. The model converges to the solution of ensemble-averaged bubbly flow equations for weak oscillations and monodisperse systems. In the other extreme, it also converges to the theoretical solution for a single oscillating bubble, and captures the bubble radius evolution and the pressure disturbance induced in the liquid. A substantial saving of computational time is achieved compared to ensemble-aver

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12

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 (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.

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13

Gubaidullin, Damir Anvarovich, and Ramil Nakipovich Gafiyatov. "Reflection and Transmission of Acoustic Waves through the Layer of Multifractional Bubbly Liquid." MATEC Web of Conferences 148 (2018): 15001. http://dx.doi.org/10.1051/matecconf/201814815001.

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The mathematical model that determines reflection and transmission of acoustic wave through a medium containing multifractioanl bubbly liquid is presented. For the water-water with bubbles-water model the wave reflection and transmission coefficients are calculated. The influence of the bubble layer thickness on the investigated coefficients is shown. The theory compared with the experiment. It is shown that the theoretical results describe and explain well the available experimental data. It is revealed that the special dispersion and dissipative properties of the layer of bubbly liquid can s

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14

Lobanov, Pavel, Maksim Pakhomov, and Viktor Terekhov. "Experimental and Numerical Study of the Flow and Heat Transfer in a Bubbly Turbulent Flow in a Pipe with Sudden Expansion." Energies 12, no. 14 (2019): 2735. http://dx.doi.org/10.3390/en12142735.

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The flow patterns and heat transfer of a downstream bubbly flow in a sudden pipe expansion are experimentally and numerically studied. Measurements of the bubble size were performed using shadow photography. Fluid phase velocities were measured using a PIV system. The numerical model was employed the Eulerian approach. The set of RANS equations was used for modelling two-phase bubbly flows. The turbulence of the carrier liquid phase was predicted using the Reynolds stress model. The peak of axial and radial fluctuations of the carrier fluid (liquid) velocity in the bubbly flow is observed in t

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15

Baranowska, Anna. "Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer." Archives of Acoustics 37, no. 3 (2012): 287–94. http://dx.doi.org/10.2478/v10168-012-0037-0.

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Abstract The aim of the paper is a theoretical analysis of propagation of high-intensity acoustic waves throughout a bubble layer. A simple model in the form of a layer with uniformly distributed mono-size spherical bubbles is considered. The mathematical model of the pressure wave’s propagation in a bubbly liquid layer is constructed using the linear non-dissipative wave equation and assuming that oscillations of a single bubble satisfy the Rayleigh-Plesset equation. The models of the phase sound speed, changes of resonant frequency of bubbles and damping coefficients in a bubbly liquid are c

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16

Grandjean, H., N. Jacques, and S. Zaleski. "Shock propagation in liquids containing bubbly clusters: a continuum approach." Journal of Fluid Mechanics 701 (May 10, 2012): 304–32. http://dx.doi.org/10.1017/jfm.2012.159.

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AbstractThe present work investigates the influence of bubble clustering on the propagation of shock waves in bubbly liquids. A continuum model is developed to describe the macroscopic response of a bubbly liquid with a cluster structure, using a two-step homogenization technique. The proposed methodology allows us to simulate shock wave propagation over long distances with a small computation time and to study the effect of bubble clustering on the shock structure. It is shown that the typical length of the shock profile is related to the global response of the clusters instead of the single-

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17

Ammari, Habib, Brian Fitzpatrick, David Gontier, Hyundae Lee, and Hai Zhang. "Sub-wavelength focusing of acoustic waves in bubbly media." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2208 (2017): 20170469. http://dx.doi.org/10.1098/rspa.2017.0469.

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The purpose of this paper is to investigate acoustic wave scattering by a large number of bubbles in a liquid at frequencies near the Minnaert resonance frequency. This bubbly media has been exploited in practice to obtain super-focusing of acoustic waves. Using layer potential techniques, we derive the scattering function for a single spherical bubble excited by an incident wave in the low frequency regime. We then propose a point scatterer approximation for N bubbles, and describe several numerical simulations based on this approximation, that demonstrate the possibility of achieving super-f

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18

Wang, Shujuan, Shichao Lu, Jiaqi Liu, et al. "Bubble Trajectory Tracking Based on ORB Algorithm." Image Analysis & Stereology 42, no. 1 (2023): 17–23. http://dx.doi.org/10.5566/ias.2794.

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The system of gas-liquid two-phase bubbly flows is widely found in many industrial fields, such as nuclear energy, chemical, petroleum, and refrigeration. Bubbly two-phase flows measuring including detection and tracking affects the specific engineering problem solving to a great extent. The particle tracking velocity (PTV) algorithm is generally used for the tracking of the particles in the flow field. However, it does not take the shape change of particles into account in the process of flow. In this paper, a kind of bubble feature matching method based on ORB algorithm is proposed, and the

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19

Nakoryakov, V. E., O. N. Kashinsky, V. V. Randin, and L. S. Timkin. "Gas-Liquid Bubbly Flow in Vertical Pipes." Journal of Fluids Engineering 118, no. 2 (1996): 377–82. http://dx.doi.org/10.1115/1.2817389.

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Gas-liquid bubbly flow was investigated in vertical pipes for different flow conditions: fully developed turbulent downward flow in a 42.3 mm diameter pipe and upward flow in a 14.8 mm diameter pipe with liquid of elevated viscosity. Wall shear stress, local void fraction, and liquid velocity profiles, shear stress, and velocity fluctuations were measured using an electrodiffusional method. Results obtained demonstrate the existence of “universal” near-wall velocity distribution in a downward bubbly flow. The reduction of turbulent fluctuations is observed in downward flow as compared to a sin

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20

Ban, Zhen Hong, Kok Keong Lau, and Mohd Sharif Azmi. "Bubble Nucleation and Growth of Dissolved Gas in Solution Flowing across a Cavitating Nozzle." Applied Mechanics and Materials 773-774 (July 2015): 304–8. http://dx.doi.org/10.4028/www.scientific.net/amm.773-774.304.

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Computational modelling of dissolved gas bubble formation and growth in supersaturated solution is essential for various engineering applications, including flash vaporisation of petroleum crude oil. The common mathematical modelling of bubbly flow only caters for single liquid and its vapour, which is known as cavitation. This work aims to simulate the bubble nucleation and growth of dissolved CO2 in water across a cavitating nozzle. The dynamics of bubble nucleation and growth phenomenon will be predicted based on the hydrodynamics in the computational domain. The complex interrelated bubble

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21

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 compressib

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22

DELALE, C. F., G. H. SCHNERR, and J. SAUER. "Quasi-one-dimensional steady-state cavitating nozzle flows." Journal of Fluid Mechanics 427 (January 25, 2001): 167–204. http://dx.doi.org/10.1017/s0022112000002330.

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Quasi-one-dimensional cavitating nozzle flows are considered by employing a homogeneous bubbly liquid flow model. The nonlinear dynamics of cavitating bubbles is described by a modified Rayleigh–Plesset equation that takes into account bubble/bubble interactions by a local homogeneous mean-field theory and the various damping mechanisms by a damping coefficient, lumping them together in the form of viscous dissipation. The resulting system of quasi-one-dimensional cavitating nozzle flow equations is then uncoupled leading to a nonlinear third-order ordinary differential equation for the flow s

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23

Uchiyama, Tomomi, and Tomohiro Degawa. "Vortex Simulation of the Bubbly Flow around a Hydrofoil." International Journal of Rotating Machinery 2007 (2007): 1–9. http://dx.doi.org/10.1155/2007/72697.

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This study is concerned with the two-dimensional simulation for an air-water bubbly flow around a hydrofoil. The vortex method, proposed by the authors for gas-liquid two-phase free turbulent flow in a prior paper, is applied for the simulation. The liquid vorticity field is discrerized by vortex elements, and the behavior of vortex element and the bubble motion are simultaneously computed by the Lagrangian approach. The effect of bubble motion on the liquid flow is taken into account through the change in the strength of vortex element. The bubbly flow around a hydrofoil of NACA4412 with a ch

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Sangani, A. S., and A. K. Didwania. "Dynamic simulations of flows of bubbly liquids at large Reynolds numbers." Journal of Fluid Mechanics 250 (May 1993): 307–37. http://dx.doi.org/10.1017/s0022112093001478.

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Results of dynamic simulations of bubbles rising through a liquid are presented. The Reynolds number of the flow based on the radius and the terminal speed of bubbles is large compared to unity, and the Weber number, which is the ratio of inertial to surface tension forces, is small. It is assumed that the bubbles do not coalesce when they approach each other but rather bounce instantaneously, conserving the momentum and the kinetic energy of the system. The flow of the liquid is assumed to be irrotational and is determined by solving the many-bubble interaction problem exactly. The viscous fo

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25

Chen, Mengchi, Cheng Zhang, Wen Yang, Suyi Zhang, and Wenjun Huang. "End-to-End Bubble Size Distribution Detection Technique in Dense Bubbly Flows Based on You Only Look Once Architecture." Sensors 23, no. 14 (2023): 6582. http://dx.doi.org/10.3390/s23146582.

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Accurate measurements of the bubble size distribution (BSD) are crucial for investigating gas–liquid mass transfer mechanisms and describing the characteristics of chemical production. However, measuring the BSD in high-density bubbly flows remains challenging due to limited image algorithms and high data densities. Therefore, an end-to-end BSD detection method in dense bubbly flows based on deep learning is proposed in this paper. The bubble detector locates the positions of dense bubbles utilizing objection detection networks and simultaneously performs ellipse parameter fitting to measure t

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26

Nguyen, Van Luc, Tomohiro Degawa, and Tomomi Uchiyama. "Numerical simulation of annular bubble plume by vortex in cell method." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 3 (2019): 1103–31. http://dx.doi.org/10.1108/hff-03-2018-0094.

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PurposeThis study aims to provide discussions of the numerical method and the bubbly flow characteristics of an annular bubble plume.Design/methodology/approachThe bubbles, released from the annulus located at the bottom of the domain, rise owing to buoyant force. These released bubbles have diameters of 0.15–0.25 mm and satisfy the bubble flow rate of 4.1 mm3/s. The evolution of the three-dimensional annular bubble plume is numerically simulated using the semi-Lagrangian–Lagrangian (semi-L–L) approach. The approach is composed of a vortex-in-cell method for the liquid phase and a Lagrangian d

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27

Nguyen, Van Luc, Tomohiro Degawa, Tomomi Uchiyama, and Kotaro Takamure. "Numerical simulation of bubbly flow around a cylinder by semi-Lagrangian–Lagrangian method." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 12 (2019): 4660–83. http://dx.doi.org/10.1108/hff-03-2019-0227.

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Purpose The purpose of this study is to design numerical simulations of bubbly flow around a cylinder to better understand the characteristics of flow around a rigid obstacle. Design/methodology/approach The bubbly flow around a circular cylinder was numerically simulated using a semi-Lagrangian–Lagrangian method composed of a vortex-in-cell method for the liquid phase and a Lagrangian description of the gas phase. Additionally, a penalization method was applied to account for the cylinder inside the flow. The slip condition of the bubbles on the cylinder’s surface was enforced, and the outflo

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28

Marichal, J., P. Ruyer, and Y. Bartosiewicz. "Numerical simulations of bubbly turbulent convection in cubical geometries." Journal of Physics: Conference Series 2766, no. 1 (2024): 012030. http://dx.doi.org/10.1088/1742-6596/2766/1/012030.

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Abstract In this work we present numerical results of pool boiling flow in a turbulent Rayleigh-Bénard convection configuration, using our in-house code in a cubical geometry. The problem in hand is encountered in various natural phenomena as well as in industrial applications. An Eulerian-Lagrangian approach is developed for the mixture of liquid water and vapor bubbles. The liquid mean temperature is close to the saturation temperature and is governed by the quasi-incompressible Navier-Stokes equations that are solved using DNS standards. The motion and growth/shrinkage of each individual va

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29

Hawkins, J. A., and A. Bedford. "A variational model for bubbly liquids: Reflection from a liquid‐bubbly liquid interface." Journal of the Acoustical Society of America 88, S1 (1990): S131. http://dx.doi.org/10.1121/1.2028598.

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30

Bartsch, Achim. "Beschleunigung des Stoffaustausches von Gas-Flüssigkeits-Reaktionen durch Schallwellen am Beispiel der Fetthärtung." Zeitschrift für Naturforschung A 50, no. 2-3 (1995): 228–34. http://dx.doi.org/10.1515/zna-1995-2-315.

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Abstract A method for increasing the mass transfer in gas/liquid-reactions by application of sonic vibration is described. The operating frequencies have been chosen such that the surfaces of the gas bubbles vibrate in resonance. At these operating frequencies (up to 1000 Hz), the damping of sound waves by the bubbly liquid is low, which is important in large-scale applications. Hydrogenation of soybean oil in a bubble column has been carried out as a test reaction. An increase in mass transfer from dispersed bubbles to the liquid in terms of kLaG of up to 36% has been effected by a relatively

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Chen, Jingxiang, Wei Li, Cheng Fu, Jingzhi Zhang, and David J. Kukulka. "Numerical Investigation on the Flow Instability of Dispersed Bubbly Flow in a Horizontal Contraction Section." Processes 10, no. 7 (2022): 1389. http://dx.doi.org/10.3390/pr10071389.

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Dispersed bubbly flow is important to understand when working in a wide variety of hydrodynamic engineering areas; the main objective of this work is to numerically study bubble-induced instability. Surface tension and bubble-induced turbulence effects are considered with the momentum and k-ω transport equations. Steady dispersed bubbly flow is generated at the inlet surface using time-step and user-defined functions. In order to track the interface between the liquid and gas phases, the volume of fraction method is used. Several calculation conditions are considered in order to determine the

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Kumar, Ranganathan, Thomas A. Trabold, and Charles C. Maneri. "Experiments and Modeling in Bubbly Flows at Elevated Pressures." Journal of Fluids Engineering 125, no. 3 (2003): 469–78. http://dx.doi.org/10.1115/1.1567308.

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Measurements of local void fraction, rise velocity, and bubble diameter have been obtained for cocurrent, wall-heated, upward bubbly flows in a pressurized refrigerant. The instrumentation used are the gamma densitometer and the hot-film anemometer. Departure bubble size is correlated in terms of liquid subcooling and bulk bubble size in terms of void fraction. Flow visualization techniques have also been used to understand the two-phase flow structure and the behavior of the bubbly flow for different bubble shapes and sizes, and to obtain the bubble diameter and rise velocity. The lift model

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Delale, Can F., Kohei Okita, and Yoichiro Matsumoto. "Steady-State Cavitating Nozzle Flows With Nucleation." Journal of Fluids Engineering 127, no. 4 (2005): 770–77. http://dx.doi.org/10.1115/1.1949643.

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Quasi-one-dimensional steady-state cavitating nozzle flows with homogeneous bubble nucleation and nonlinear bubble dynamics are considered using a continuum bubbly liquid flow model. The onset of cavitation is modeled using an improved version of the classical theory of homogeneous nucleation, and the nonlinear dynamics of cavitating bubbles is described by the classical Rayleigh-Plesset equation. Using a polytropic law for the partial gas pressure within the bubble and accounting for the classical damping mechanisms, in a crude manner, by an effective viscosity, stable steady-state solutions

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34

Gavrilyuk, S. L. "Travelling waves in bubbly liquid with continuous bubble-size distribution." European Journal of Applied Mathematics 6, no. 3 (1995): 247–64. http://dx.doi.org/10.1017/s0956792500001820.

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Wongsaroj, Wongsakorn, Ari Hamdani, Natee Thong-un, Hideharu Takahashi, and Hiroshige Kikura. "Extended Short-Time Fourier Transform for Ultrasonic Velocity Profiler on Two-Phase Bubbly Flow Using a Single Resonant Frequency." Applied Sciences 9, no. 1 (2018): 50. http://dx.doi.org/10.3390/app9010050.

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This study introduces a measurement technique for simultaneous phase-separated velocity in two-phase bubbly flow. The non-invasive technique, based on an Ultrasonic Velocity Profiler (UVP), is used in order to obtain an instantaneous, separate velocity profile for both liquid and bubble. The aim of this paper is to measure each phase velocity at the same time and position it using only a single resonant frequency. To achieve this aim, extended signal processing of the Short-Time Fourier Transform (STFT) is proposed, combining with amplitude classification to analyze Doppler signal influenced f

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Muñoz-Cobo, José, Sergio Chiva, Mohamed El Aziz Essa, and Santos Mendes. "Experiments performed with bubbly flow in vertical pipes at different flow conditions covering the transition region: simulation by coupling Eulerian, Lagrangian and 3D random walks models." Archives of Thermodynamics 33, no. 1 (2012): 3–39. http://dx.doi.org/10.2478/v10173-012-0001-4.

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Experiments performed with bubbly flow in vertical pipes at different flow conditions covering the transition region: simulation by coupling Eulerian, Lagrangian and 3D random walks modelsTwo phase flow experiments with different superficial velocities of gas and water were performed in a vertical upward isothermal cocurrent air-water flow column with conditions ranging from bubbly flow, with very low void fraction, to transition flow with some cap and slug bubbles and void fractions around 25%. The superficial velocities of the liquid and the gas phases were varied from 0.5 to 3 m/s and from

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Gvozdić, Biljana, Elise Alméras, Varghese Mathai, et al. "Experimental investigation of heat transport in homogeneous bubbly flow." Journal of Fluid Mechanics 845 (April 20, 2018): 226–44. http://dx.doi.org/10.1017/jfm.2018.213.

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We present results on the global and local characterisation of heat transport in homogeneous bubbly flow. Experimental measurements were performed with and without the injection of ${\sim}2.5~\text{mm}$ diameter bubbles (corresponding to bubble Reynolds number $Re_{b}\approx 600$) in a rectangular water column heated from one side and cooled from the other. The gas volume fraction $\unicode[STIX]{x1D6FC}$ was varied in the range 0 %–5 %, and the Rayleigh number $Ra_{H}$ in the range $4.0\times 10^{9}{-}1.2\times 10^{11}$. We find that the global heat transfer is enhanced up to 20 times due to

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Tomiyama, Akio, and Naoki Shimada. "A Numerical Method for Bubbly Flow Simulation Based on a Multi-Fluid Model." Journal of Pressure Vessel Technology 123, no. 4 (2001): 510–16. http://dx.doi.org/10.1115/1.1388010.

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A numerical method based on an N+1-fluid model is proposed for the prediction of a three-dimensional unsteady turbulent bubbly flow with nonuniform bubble sizes. Among the N+1 fluids, one fluid corresponds to the liquid phase and the N fluids to bubbles. The model can therefore take account of N different bubble sizes. Since the fluid density of each bubble group can differ from that of other groups, the method is also applicable to multi-component flows such as a gas-liquid-solid flow and a liquid-solid flow with various particles. The increase in the number of fluids to be solved does not re

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Kováts, Péter, and Katharina Zähringer. "Bubble Induced Mixing In A Bubble Column With Counter-Current Liquid Flow." Proceedings of the International Symposium on the Application of Laser and Imaging Techniques to Fluid Mechanics 21 (July 8, 2024): 1–19. http://dx.doi.org/10.55037/lxlaser.21st.23.

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Bubble columns have been widely investigated over the last few decades, concentrating on the bubble parameters, and gas/liquid motion. However, mixing and often the resulting interaction between chemical reaction and hydrodynamics in the column are rarely analysed. For this reason, experiments with Laser Induced Fluorescence (LIF) applying Sulforhodamine G as fluorescent dye, and shadow imaging were performed in a square laboratory-scale counter-current flow bubble column at 21 different flow conditions and three different dye inlet positions. In these experiments the mixing efficiency was inv

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Wongsaroj, Wongsakorn, Hideharu Takahashi, Natee Thong-Un, and Hiroshige Kikura. "Ultrasonic Measurement for the Experimental Investigation of Velocity Distribution in Vapor-Liquid Boiling Bubbly Flow." International Journal of Engineering and Technology Innovation 12, no. 1 (2021): 16–28. http://dx.doi.org/10.46604/ijeti.2021.8329.

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This study proposes an ultrasonic velocity profiler (UVP) with a single ultrasonic gas-liquid two-phase separation (SUTS) technique to measure the velocity distribution of vapor-liquid boiling bubbly flow. The proposed technique is capable of measuring the velocity of the vapor bubble and liquid separately in boiling conditions. To confirm the viability of the measurement technique, the experiment is conducted on vertical pipe flow apparatus. The ultrasonic transmission and effect of ultrasonic refraction through the pipe wall and water are investigated at ambient temperature until subcooled b

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Bulatova, A. Z., O. A. Solnyshkina, and N. B. Fatkullina. "Numerical study of single bubble mobility in triangular and deltoid microchannels using the boundary element method." Journal of Physics: Conference Series 2057, no. 1 (2021): 012042. http://dx.doi.org/10.1088/1742-6596/2057/1/012042.

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Abstract The study of bubbly liquid dynamics in microchannels of unconventional shapes is of great importance for different fields of science and industry. This work investigates the dynamics of the incompressible single bubbles in the slow periodic flow of viscous liquid in a triangular channel with a variable pressure gradient. The numerical approach used in this research is based on the boundary element method (BEM). This method is widely used for solving three-dimensional problems and problems in areas with complex geometry. The influence of the bubble’s initial position relative to the ch

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Matsui, Reon, Quoc N. Nguyen, and Tetsuya Kanagawa. "Theoretical comparison of some models for thermal process inside oscillating multiple bubbles." Journal of the Acoustical Society of America 156, no. 4_Supplement (2024): A42—A43. https://doi.org/10.1121/10.0035038.

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Several models have been proposed to describe thermal processes at gas pressure inside bubble. Recently, the comparison of three typical models was performed for the case of single bubble (Sojahrood et al., 2020): Model A approximates the effect of thermal damping by adding an artificial viscosity to the viscosity of liquid surrounding the bubble and is widely used for the case of shell-coated bubbles. Model B is a model that includes the average temperature rise within the bubble and the heat loss at the bubble boundary; this makes it more accurate by taking into account the pressure dependen

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Lukianov, Pavlo, and Kateryna Pavlova. "Unsteady flow of bubble liquid in hydraulic systems of aircraft and helicopters." Aerospace Technic and Technology, no. 2 (April 18, 2024): 4–14. http://dx.doi.org/10.32620/aktt.2024.2.01.

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The subject of this work is the phenomenon of a water hammer in a liquid that contains a small volume of gas bubbles. Historically, this phenomenon began to be studied as the dynamics of gas bubbles (Rayleigh-Pleset equation). Today, thanks to progress in computer technology, this phenomenon is studied at the level of bubble deformation during hydraulic shock. Another approach is to consider the dynamics of a multiphase (two-phase) medium in the form of a bubbly liquid. After several assumptions, the main one being a relatively small gas content in the liquid, the model consists of two differe

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Safiullin, A. R. "Acoustic stability of a superheated liquid with vapor–gas bubbles." Multiphase Systems 18, no. 1 (2023): 32–36. http://dx.doi.org/10.21662/mfs2023.1.005.

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It is known that the physicochemical properties of liquids in a metastable state are mainly determined by the presence of various inclusions in their composition, for example, gas bubbles or solid particles, and it has been established that, under mechanical and thermal equilibrium, the state of a liquid with gas bubbles distributed over the volume due to the action of capillary forces at the interface, always overheated. In this paper, we consider the propagation of weak perturbations in a superheated water-air bubbly medium, when, in addition to water vapor, the bubbles contain an inert gas

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Lopez de Bertodano, M., S. J. Lee, R. T. Lahey, and D. A. Drew. "The Prediction of Two-Phase Turbulence and Phase Distribution Phenomena Using a Reynolds Stress Model." Journal of Fluids Engineering 112, no. 1 (1990): 107–13. http://dx.doi.org/10.1115/1.2909357.

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The void fraction distribution for turbulent bubbly air/water upflows and downflows in a pipe was analyzed using a three-dimensional two-fluid model. A τ − ε (i.e., Reynolds stress) turbulence model was used for the continuous (liquid) phase. The τ − ε transport equations yield all components of the Reynolds stress tensor for the liquid phase momentum equations. The effect of these stresses is to create a lateral pressure gradient that acts on the bubbles and effects their distribution. The lateral lift force on the bubbles has also been modelled. This lift force arises due to the relative mot

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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

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Sangani, A. S., and A. K. Didwania. "Dispersed-phase stress tensor in flows of bubbly liquids at large Reynolds numbers." Journal of Fluid Mechanics 248 (March 1993): 27–54. http://dx.doi.org/10.1017/s0022112093000679.

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We derive averaged equations for large Reynolds number laminar flows of gas–liquid dispersions accounting for slowly varying spatial and temporal fields. In particular, we obtain an exact expression for the dispersed-phase stress tensor to be used in the force balance equation for gas bubbles and illustrate its application by evaluating the stress tensor for a few special cases. It is shown that the dispersed-phase stress tensor gradient with respect to the mean relative motion or the void fraction for the uniformly random bubbly liquids under conditions of large Reynolds number laminar flows

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NADIM, A., D. GOLDMAN, J. J. CARTMELL, and P. E. BARBONE. "A PHASE-PLANE DESCRIPTION OF NONLINEAR TRAVELING WAVES IN BUBBLY LIQUIDS." Journal of Computational Acoustics 07, no. 02 (1999): 71–82. http://dx.doi.org/10.1142/s0218396x99000072.

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One-dimensional traveling wave solutions to the fully nonlinear continuity and Euler equations in a bubbly liquid are considered. The elimination of velocity from the two equations leaves a single nonlinear algebraic relation between the pressure and density profiles in the mixture. On assuming the bubbles to have identical size and taking the volume fraction of bubbles in the medium to be small, an equation of state which relates the mixture pressure to the density and its first two material time-derivatives is derived. When this equation of state is linearized and combined with the laws of c

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Truby, J. M., S. P. Mueller, E. W. Llewellin, and H. M. Mader. "The rheology of three-phase suspensions at low bubble capillary number." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2173 (2015): 20140557. http://dx.doi.org/10.1098/rspa.2014.0557.

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We develop a model for the rheology of a three-phase suspension of bubbles and particles in a Newtonian liquid undergoing steady flow. We adopt an ‘effective-medium’ approach in which the bubbly liquid is treated as a continuous medium which suspends the particles. The resulting three-phase model combines separate two-phase models for bubble suspension rheology and particle suspension rheology, which are taken from the literature. The model is validated against new experimental data for three-phase suspensions of bubbles and spherical particles, collected in the low bubble capillary number reg

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Yuan, H., and A. Prosperetti. "On the in-line motion of two spherical bubbles in a viscous fluid." Journal of Fluid Mechanics 278 (November 10, 1994): 325–49. http://dx.doi.org/10.1017/s0022112094003733.

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The motion of two equal spherical bubbles moving along their line of centres in a viscous liquid is studied numerically in bispherical coordinates. The unsteady Navier-Stokes equations are solved using a mixed spectral/finite-difference scheme for Reynolds numbers up to 200. Free-slip conditions at the bubble surfaces are imposed, while the normal stress condition is replaced by the sphericity constraint under the assumption of small Weber number. The vorticity shed by the upstream bubble affects the drag on the trailing bubble in a very complex fashion that appears to be quite beyond the powe

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