Suspension Acoustics: An Introduction to the Physics of Suspensions

1. Preliminaries 2. Conservation equations 3. Rigid particle heat transfer at Re 4. Translation motion at Re 5. Shape deformations 6. Volume pulsations 7. Thermodynamics of suspensions 8. The two phase model 9. Sound propagation in suspensions 10. Application and extensions.

[1]  Bradley P. Barber,et al.  Toward a hydrodynamic theory of sonoluminescence , 1993 .

[2]  W. Russel,et al.  Brownian Motion of Small Particles Suspended in Liquids , 1981 .

[3]  L. van Wijngaarden,et al.  One-Dimensional Flow of Liquids Containing Small Gas Bubbles , 1972 .

[4]  L. Boyadzhiev,et al.  On the movement of a spherical particle in vertically oscillating liquid , 1973, Journal of Fluid Mechanics.

[5]  Andrea Prosperetti,et al.  The thermal behaviour of oscillating gas bubbles , 1991, Journal of Fluid Mechanics.

[6]  Yoshikuni Umeda,et al.  Nozzle flows of gas-particle mixtures , 1987 .

[7]  G. Batchelor,et al.  An Introduction to Fluid Dynamics , 1968 .

[8]  S. Spoelstra,et al.  The added mass coefficient of a dispersion of spherical gas bubbles in liquid , 1989 .

[9]  Andrea Prosperetti,et al.  Nonlinear bubble dynamics , 1988 .

[10]  R. Nigmatulin Mathematical modelling of bubbly liquid motion and hydrodynamical effects in wave propagation phenomenon , 1982 .

[11]  Andrea Prosperetti,et al.  Bubble dynamics in a compressible liquid. Part 1. First-order theory , 1986, Journal of Fluid Mechanics.

[12]  David Julian McClements,et al.  Scattering of ultrasound by emulsions , 1989 .

[13]  R. Ishii Motion of small particles in a gas flow , 1984 .

[14]  S. Temkin,et al.  Droplet drag in an accelerating and decelerating flow , 1982, Journal of Fluid Mechanics.

[15]  P. Saffman,et al.  On the stability of laminar flow of a dusty gas , 1962, Journal of Fluid Mechanics.

[16]  J. T. Liu On the Hydrodynamic Stability of Parallel Dusty Gas Flows , 1965 .

[17]  D. S. Scott,et al.  A new approach to the acoustic conditioning of industrial aerosol emissions , 1975 .

[18]  P. Chambré Speed of a Plane Wave in a Gross Mixture , 1954 .

[19]  Onuki Sound propagation in phase-separating fluids. , 1991, Physical Review A. Atomic, Molecular, and Optical Physics.

[20]  M. Plesset,et al.  On the Propagation of Sound in a Liquid Containing Gas Bubbles , 1961 .

[21]  H. Kytömaa,et al.  Acoustic wave speed and attenuation in suspensions , 1992 .

[22]  Temkin Attenuation and dispersion of sound in dilute suspensions of spherical particles , 2000, The Journal of the Acoustical Society of America.

[23]  S. Goren Resistance and stability of a line of particles moving near a wall , 1983, Journal of Fluid Mechanics.

[24]  R. List,et al.  The Coalescence process in raindrop growth , 1971 .

[25]  S. Weinbaum,et al.  Numerical Multipole and Boundary Integral Equation Techniques in Stokes Flow , 1990 .

[26]  Yoichiro Matsumoto,et al.  Shock waves in a liquid containing small gas bubbles , 1996 .

[27]  L. Wijngaarden On the structure of shock waves in liquid-bubble mixtures , 1970 .

[28]  D. T. Shaw,et al.  Acoustic particle agglomeration due to hydrodynamic interaction between monodisperse aerosols , 1979 .

[29]  L. Spielman,et al.  Particle Capture from Low-Speed Laminar Flows , 1977 .

[30]  T. Pearcey,et al.  The Accelerated Motion of Droplets and Bubbles , 1956 .

[31]  Gerald J. Diebold,et al.  The photoacoustic effect generated by a spherical droplet in a fluid , 1988 .

[32]  C. Church,et al.  Transient pulsations of small gas bubbles in water , 1988 .

[33]  S. Corrsin,et al.  On the equation of motion for a particle in turbulent fluid , 1956 .

[34]  G. Batchelor,et al.  Transport Properties of Two-Phase Materials with Random Structure , 1974 .

[35]  S. Temkin,et al.  Charge separation during rupture of small water drops in transient flows: Shock tube measurements and applications to lightning , 1983 .

[36]  T. Leighton The Acoustic Bubble , 1994 .

[37]  Werner Lauterborn,et al.  Numerical investigation of nonlinear oscillations of gas bubbles in liquids , 1976 .

[38]  C. Morfey Sound attenuation by small particles in a fluid , 1968 .

[39]  C. M. Ablow,et al.  Temperature distribution within a particle during evaporation. , 1966 .

[40]  Alfred Brian Pippard,et al.  The physics of vibration , 1991 .

[41]  R. Nigmatulin,et al.  Waves in liquids with vapour bubbles , 1988, Journal of Fluid Mechanics.

[42]  C. Beenakker The effective viscosity of a concentrated suspension of spheres (and its relation to diffusion) , 1984 .

[43]  Statistical mechanics of bubbly liquids , 1996 .

[44]  K. Philipson On the production of monodisperse particles with a spinning disc , 1973 .

[45]  J. Ockendon The unsteady motion of a small sphere in a viscous liquid , 1968, Journal of Fluid Mechanics.

[46]  M. Longuet-Higgins,et al.  Monopole emission of sound by asymmetric bubble oscillations. Part 2. An initial-value problem , 1989, Journal of Fluid Mechanics.

[47]  A. N. Kraiko,et al.  Theory of flows of a two-velocity continuous medium containing solid or liquid particles , 1965 .

[48]  N. Ashgriz,et al.  Coalescence and separation in binary collisions of liquid drops , 1990, Journal of Fluid Mechanics.

[49]  G. Koopmann,et al.  Visualization of acoustic particle interaction and agglomeration: Theory and experiments , 1996 .

[50]  P. J. Goetz,et al.  Acoustic and electroacoustic spectroscopy for characterizing concentrated dispersions and emulsions. , 2001, Advances in colloid and interface science.

[51]  R. Donnelly,et al.  Experiments on the capillary instability of a liquid jet , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[52]  R. Zare,et al.  Through a Beer Glass Darkly , 1991 .

[53]  M. Greenspan Propagation of Sound in Five Monatomic Gases , 1956 .

[54]  R. Lindsay,et al.  Elements of gasdynamics , 1957 .

[55]  E. Skudrzyk The foundations of acoustics , 1971 .

[56]  H. G. Flynn Cavitation dynamics. I. A mathematical formulation , 1975 .

[57]  J. Williams,et al.  On resonant nonlinear bubble oscillations , 1991, Journal of Fluid Mechanics.

[58]  Ilya Prigogine,et al.  Thermodynamics of Irreversible Processes , 2018, Principles of Thermodynamics.

[59]  Andrea Prosperetti,et al.  Nonlinear oscillations of gas bubbles in liquids: An interpretation of some experimental results , 1983 .

[60]  Yoshikuni Umeda,et al.  Numerical analysis of gas-particle two-phase flows , 1989, Journal of Fluid Mechanics.

[61]  J. Barger,et al.  Elements of acoustics , 1998 .

[62]  R. H. Sabersky,et al.  Evaporation and droplet growth in gaseous media. , 2013 .

[63]  G. Batchelor,et al.  The determination of the bulk stress in a suspension of spherical particles to order c2 , 1972, Journal of Fluid Mechanics.

[64]  Y. Chisti,et al.  Dynamics of Droplets , 2000 .

[65]  L. Crocco,et al.  Measurement of Mean Particle Sizes of Sprays from Diffractively Scattered Light , 1963 .

[66]  R. Adrian,et al.  Unsteady drag on a sphere at finite Reynolds number with small fluctuations in the free-stream velocity , 1991, Journal of Fluid Mechanics.

[67]  R. J. Urick,et al.  The Absorption of Sound in Suspensions of Irregular Particles , 1948 .

[68]  T. Sano Unsteady flow past a sphere at low Reynolds number , 1981, Journal of Fluid Mechanics.

[69]  Sangtae Kim,et al.  IMAGE SYSTEMS FOR A STOKESLET INSIDE A RIGID SPHERICAL CONTAINER , 1994 .

[70]  W. T. Koiter Theoretical and applied mechanics : proceedings of the 14th IUTAM congress, Delft, The Netherlands, 30. August-4. September 1976 , 1977 .

[71]  Albert Einstein,et al.  Investigations on the Theory of the Brownian Movement , 1928, The Mathematical Gazette.

[72]  Robert H. Davis,et al.  The rate of collisions due to Brownian or gravitational motion of small drops , 1991, Journal of Fluid Mechanics.

[73]  G. Konig,et al.  A new light-scattering technique to measure the diameter of periodically generated moving droplets , 1986 .

[74]  J. E. Cole,et al.  Measurements of the Attenuation of Sound by a Warm Air Fog , 1971 .

[75]  Ramani Duraiswami,et al.  BUBBLE COUNTING USING AN INVERSE ACOUSTIC SCATTERING METHOD , 1998 .

[76]  Sung Soo Kim,et al.  Droplet motion induced by weak shock waves , 1980, Journal of Fluid Mechanics.

[77]  M. Golay,et al.  Droplet Impacts Upon Liquid Surfaces , 1984, Science.

[78]  T. Watanabe,et al.  Translational and radial motions of a bubble in an acoustic standing wave field , 1993 .

[79]  P. Marston Shape oscillation and static deformation of drops and bubbles driven by modulated radiation stresses—Theory , 1980 .

[80]  Michael J. Miksis,et al.  Effective equations for wave propagation in bubbly liquids , 1985, Journal of Fluid Mechanics.

[81]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[82]  David J. Jeffrey,et al.  The calculation of the low Reynolds number resistance functions for two unequal spheres , 1992 .

[83]  J. Dukowicz Drag of evaporating or condensing droplets in low Reynolds number flow , 1984 .

[84]  J. Davidson,et al.  Hydrodynamics of the rupture of thin liquid films , 1990, Journal of Fluid Mechanics.

[85]  Fukumoto,et al.  Thermal attenuation and dispersion of sound in a periodic emulsion. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[86]  A note on the force on an accelerating spherical drop at low‐Reynolds number , 1993 .

[87]  G. Koopmann,et al.  VISUALIZATION OF ACOUSTIC PARTICLE INTERACTION AND AGGLOMERATION : THEORY EVALUATION , 1997 .

[88]  G. Buresti,et al.  One-dimensional adiabatic flow of equilibrium gas–particle mixtures in long vertical ducts with friction , 1989, Journal of Fluid Mechanics.

[89]  J. Seinfeld,et al.  Sectional representations for simulating aerosol dynamics , 1980 .

[90]  Mironov,et al.  Mean force on a small sphere in a sound field in a viscous fluid , 2000, The Journal of the Acoustical Society of America.

[91]  Alex E. Hay,et al.  On the Theory of Sound Scattering and Viscous Absorption in Aqueous Suspensions at Medium and Short Wavelengths , 1985 .

[92]  M. Ishii Thermo-fluid dynamic theory of two-phase flow , 1975 .

[93]  Frank E. Marble,et al.  Dynamics of a gas containing small solid particles , 1963 .

[94]  A. Solan,et al.  On the low reynolds number motion of two droplets , 1973 .

[95]  P. G. Hill,et al.  Condensation of water vapour during supersonic expansion in nozzles , 1966, Journal of Fluid Mechanics.

[96]  Kenneth S. Suslick,et al.  The Chemical Effects of Ultrasound , 1989 .

[97]  A. Alexeev,et al.  Particle drift in a resonance tube--a numerical study. , 2003, The Journal of the Acoustical Society of America.

[98]  Sangtae Kim,et al.  The resistance and mobility functions of two equal spheres in low‐Reynolds‐number flow , 1985 .

[99]  G. J. Franz Splashes as Sources of Sound in Liquids , 1959 .

[100]  M. G. Smith Laplace Transform Theory , 1966 .

[101]  S. I. Rubinow,et al.  The transverse force on a spinning sphere moving in a viscous fluid , 1961, Journal of Fluid Mechanics.

[102]  Paul S. Epstein,et al.  Textbook of thermodynamics , 1937 .

[103]  D. R. Breach,et al.  On the flow past a sphere at low Reynolds number , 1969, Journal of Fluid Mechanics.

[104]  A. H. Harker,et al.  Velocity and attenuation of ultrasound in suspensions of particles in fluids , 1988 .

[105]  M. Strasberg,et al.  Gas Bubbles as Sources of Sound in Liquids , 1956 .

[106]  S. Hoenig Acceleration of Dust Particles by Shock Waves , 1957 .

[107]  Geoffrey Ingram Taylor,et al.  The two coefficients of viscosity for an incompressible fluid containing air bubbles , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[108]  L. van Wijngaarden,et al.  Concentration waves in dilute bubble/liquid mixtures , 1990, Journal of Fluid Mechanics.

[109]  Grant B. Deane,et al.  Scale dependence of bubble creation mechanisms in breaking waves , 2002, Nature.

[110]  C. P. Lee,et al.  Stability of an acoustically levitated and flattened drop: An experimental study , 1993 .

[111]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[112]  R. Clift,et al.  Motion of entrained particles in gas streams , 1971 .

[113]  A. Crespo Sound and Shock Waves in Liquids Containing Bubbles , 1969 .

[114]  A. Prosperetti,et al.  Bubble Dynamics and Cavitation , 1977 .

[115]  L. C. Woods,et al.  The thermodynamics of fluid systems , by L. C. Woods. Pp 359. £12·50. 1985. ISBN 0-19-856180-6 (Oxford University Press) , 1987, The Mathematical Gazette.

[116]  Susan Werner Kieffer,et al.  Sound Speed in Liquid-Gas Mixtures' Water-Air and Water-Steam , 1977 .

[117]  J. D. Bassett,et al.  Observations concerning the mechanism of atomisation in an ultrasonic fountain , 1976 .

[118]  S. Beal Turbulent agglomeration of suspensions , 1972 .

[119]  Roelof Omta Oscillations of a cloud of bubbles of small and not so small amplitude , 1987 .

[120]  J. Allegra,et al.  Attenuation of Sound in Suspensions and Emulsions: Theory and Experiments , 1972 .

[121]  G. Brenn,et al.  Drop formation from a vibrating orifice generator driven by modulated electrical signals , 1997 .

[122]  W. Gauvin,et al.  Fundamental aspects of solids‐gas flow: Part III. Accelerated motion of a particle in a fluid , 1959 .

[123]  L. Ting,et al.  Effects of bubbly layers on wave propagation , 1989 .

[124]  Wallis S. Hamilton,et al.  Forces on a sphere accelerating in a viscous fluid , 1964, Journal of Fluid Mechanics.

[125]  L. Durlofsky,et al.  The sedimentation rate of disordered suspensions , 1988 .

[126]  S. Temkin Particle force and heat transfer in a dusty gas sustaining an acoustic wave , 1993 .

[127]  S. A. Thorpe,et al.  Bubbles and breaking waves , 1980, Nature.

[128]  M. Minnaert XVI.On musical air-bubbles and the sounds of running water , 1933 .

[129]  Yoshikuni Umeda,et al.  Bubbly flows through a converging–diverging nozzle , 1993 .

[130]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[131]  P. Mazur Many-sphere hydrodynamic interactions , 1983 .

[132]  R. J. Hunter Foundations of Colloid Science , 1987 .

[133]  R. W. O'Brien,et al.  A method for the calculation of the effective transport properties of suspensions of interacting particles , 1979, Journal of Fluid Mechanics.

[134]  D. Legendre,et al.  A note on the lift force on a spherical bubble or drop in a low-Reynolds-number shear flow , 1997 .

[135]  J. M. Rallison,et al.  Note on the Faxén relations for a particle in Stokes flow , 1978, Journal of Fluid Mechanics.

[136]  Allan D. Pierce,et al.  Acoustics , 1989 .

[137]  Lawrence A. Crum The polytropic exponent of gas contained within air bubbles pulsating in a liquid , 1983 .

[138]  J. W. Cleijne,et al.  Shock wave induced evaporation of water droplets in a gas-droplet mixture , 1988 .

[139]  J. Happel,et al.  Low Reynolds number hydrodynamics , 1965 .

[140]  Stuart A. Rice,et al.  Absorption and Dispersion of Ultrasonic Waves , 1960 .

[141]  Andrea Prosperetti,et al.  Numerical integration methods in gas‐bubble dynamics , 1989 .

[142]  Andrea Prosperetti,et al.  The equation of bubble dynamics in a compressible liquid , 1987 .

[143]  J. Riley,et al.  Equation of motion for a small rigid sphere in a nonuniform flow , 1983 .

[144]  W. Russel The Dynamics of Colloidal Systems , 1987 .

[145]  S. Heister,et al.  Droplet size control in liquid jet breakup , 1996 .

[146]  G. Falkovich,et al.  Acceleration of rain initiation by cloud turbulence , 2002, Nature.

[147]  Frank E. Marble Droplet Agglomeration in Rocket Nozzles Caused by Particle Slip and Collision , 1967 .

[148]  On the response of a sphere to an acoustic pulse , 1972 .

[149]  M. Ungarish,et al.  Hydrodynamics of Suspensions , 1993 .

[150]  B. P. Selberg,et al.  Drag coefficient of small spherical particles. , 1968 .

[151]  David J. Jeffrey,et al.  Hydrodynamic interaction between gas bubbles in liquid , 1976, Journal of Fluid Mechanics.

[152]  Vernon L. Newhouse,et al.  Bubble size measurements using the nonlinear mixing of two frequencies , 1984 .

[153]  Andrea Prosperetti,et al.  Sound emissions by a laboratory bubble cloud , 1994 .

[154]  R. S. J. Sparks,et al.  Bimodal grain size distribution and secondary thickening in air-fall ash layers , 1983, Nature.

[155]  H. Pumphrey,et al.  Underwater sound produced by individual drop impacts and rainfall , 1989 .

[156]  J. F. Dijksman,et al.  Hydrodynamics of small tubular pumps , 1984, Journal of Fluid Mechanics.

[157]  Andrea Prosperetti,et al.  Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids , 1977 .

[158]  R. W. O'Brien,et al.  Electro-acoustic effects in a dilute suspension of spherical particles , 1988, Journal of Fluid Mechanics.

[159]  Thomas S. Lundgren,et al.  Oscillations of drops in zero gravity with weak viscous effects , 1988, Journal of Fluid Mechanics.

[160]  H. Weickmann,et al.  PHYSICAL PROPERTIES OF CUMULUS CLOUDS , 1953 .

[161]  T. J. Kotas,et al.  Drag on a sphere in unsteady motion in a liquid at rest , 1978, Journal of Fluid Mechanics.

[162]  Ronald L. Panton,et al.  Flow properties for the continuum viewpoint of a non-equilibrium gas-particle mixture , 1968, Journal of Fluid Mechanics.

[163]  K. Shuster,et al.  Agglomeration of submicrometer particles in weak periodic shock waves , 2002 .

[164]  R. Aris Vectors, Tensors and the Basic Equations of Fluid Mechanics , 1962 .

[165]  Anthony I. Eller,et al.  Damping Constants of Pulsating Bubbles , 1970 .

[166]  A. Frohn,et al.  Drag coefficients of single droplets moving in an infinite droplet chain on the axis of a tube , 1988 .

[167]  L. Likhterov High-frequency acoustic noise emitted by initial impact of solid sphere falling onto liquid surface , 1998 .

[168]  T. S. Margulies,et al.  A multiphase continuum theory for sound wave propagation through dilute suspensions of particles , 1994 .

[169]  S. A. Thorpe,et al.  Internal waves and whitecaps , 1987, Nature.

[170]  S. Temkin,et al.  Measurements of Attenuation and Dispersion of Sound by an Aerosol , 1966 .

[171]  V. Knudsen,et al.  The Attenuation of Audible Sound in Fog and Smoke , 1948 .

[172]  J. Synge,et al.  Principles of Mechanics , 1963 .

[173]  John Smith,et al.  Mathematical and graphical interpretation of the log-normal law for particle size distribution analysis , 1964 .

[174]  S. L. Soo,et al.  Fluid dynamics of multiphase systems , 1967 .

[175]  S. D. Danilov,et al.  Breakup of a droplet in a high-intensity sound field , 1992 .

[176]  S. Temkin,et al.  Acoustical measurements of aerosol particle size and concentration , 1967 .

[177]  G. J. Doyle,et al.  The Amplitude of Vibration of Aerosol Droplets in a Sonic Field , 1956 .

[178]  J. Brady,et al.  Dynamic simulation of hydrodynamically interacting suspensions , 1988, Journal of Fluid Mechanics.

[179]  L. Rayleigh,et al.  The theory of sound , 1894 .

[180]  C. Megaridis,et al.  A Bimodal Integral Solution of the Dynamic Equation for an Aerosol Undergoing Simultaneous Particle Inception and Coagulation , 1990 .

[181]  G. Rudinger,et al.  ANALYSIS OF NONSTEADY TWO-PHASE FLOW. , 1964 .

[182]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[183]  S. Temkin Droplet Agglomeration Induced by Weak Shock Waves , 1970 .

[184]  Andrea Prosperetti,et al.  Ensemble phase‐averaged equations for bubbly flows , 1994 .

[185]  J. Brady,et al.  The force on a bubble, drop, or particle in arbitrary time‐dependent motion at small Reynolds number , 1993 .

[186]  J. T. Liu Flow Induced by the Impulsive Motion of an Infinite Flat Plate in a Dusty Gas , 1967 .

[187]  R. W. O'Brien,et al.  The electroacoustic equations for a colloidal suspension , 1990, Journal of Fluid Mechanics.

[188]  V. S. Popov Propagation of sound in suspensions , 1970 .

[189]  K. J. Taylor Absolute measurement of acoustic particle velocity , 1976 .

[190]  S. Temkin Gasdynamic agglomeration of aerosols. I. Acoustic waves , 1994 .

[191]  J. W. Humberston Classical mechanics , 1980, Nature.

[192]  S. Temkin SOUND PROPAGATION IN DILUTE SUSPENSIONS OF RIGID PARTICLES , 1998 .

[193]  A. Hay,et al.  Resonance scattering in suspensions , 1989 .

[194]  J. Zung,et al.  Evaporation—Condensation Coefficient for Small Droplets , 1967 .

[195]  J. Pearson,et al.  Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder , 1957, Journal of Fluid Mechanics.

[196]  K. Attenborough,et al.  Coupled phase theory for sound propagation in emulsions , 1997 .

[197]  Renwei Mei,et al.  A note on the history force on a spherical bubble at finite Reynolds number , 1994 .

[198]  Viscous attenuation of sound in dilute suspensions of rigid particles , 1996 .

[199]  M. N. Topp Ultrasonic atomization-a photographic study of the mechanism of disintegration , 1973 .

[200]  Frank E. Marble,et al.  Mechanism of Particle Collision in the One-Dimensional Dynamics of Gas-Particle Mixtures , 1964 .

[201]  H. Matsuhisa,et al.  Steady reflection, absorption and transmission of small disturbances by a screen of dusty gas , 1983, Journal of Fluid Mechanics.

[202]  G. Batchelor Sedimentation in a dilute dispersion of spheres , 1972, Journal of Fluid Mechanics.

[203]  Lisa Ann Mondy,et al.  A new method for determining hydrodynamic effects on the collision of two spheres , 1991 .

[204]  E. L. Carstensen,et al.  Propagation of Sound Through a Liquid Containing Bubbles , 1947 .

[205]  Andrea Prosperetti,et al.  Linear pressure waves in bubbly liquids: Comparison between theory and experiments , 1989 .

[206]  R. J. Urick,et al.  A Sound Velocity Method for Determining the Compressibility of Finely Divided Substances , 1947 .

[207]  Gabi Ben-Dor,et al.  Dusty Shock Waves , 1988 .

[208]  C. Devin,et al.  SURVEY OF THERMAL, RADIATION, AND VISCOUS DAMPING OF PULSATING AIR BUBBLES IN WATER , 1959 .

[209]  L. Ostrovsky,et al.  Nonlinear wave interactions in bubble layers. , 2003, The Journal of the Acoustical Society of America.

[210]  John H. Seinfeld,et al.  Simulation of Aerosol Size Distribution Evolution in Systems with Simultaneous Nucleation, Condensation, and Coagulation , 1985 .

[211]  S. Temkin,et al.  Droplet pair interactions in a shock-wave flow field , 1989, Journal of Fluid Mechanics.

[212]  M. Yuhi,et al.  Supersonic gas-particle two-phase flow around a sphere , 1990, Journal of Fluid Mechanics.

[213]  G. A. Davidson,et al.  Finite‐amplitude acoustics of aerosols , 1973 .

[214]  A. E. Bergles,et al.  Wave Propagation in Gas-Liquid Media , 1993 .

[215]  R. G. Semonin,et al.  The Production of Equal and Unequal Size Droplet Pairs , 1971 .

[216]  Visualization of the fluid flow field around a laser generated oscillating bubble , 1997 .

[217]  H. Pruppacher,et al.  On the hydrodynamics of pairs of spheres falling along their line of centres in a viscous medium , 1968, Journal of Fluid Mechanics.

[218]  S. Temkin Erratum: “Attenuation and dispersion of sound in dilute suspensions of spherical particles” [J. Acoust. Soc. Am. 108, 126–146 (2000)] , 2002 .

[219]  C. D. Stow,et al.  Collisions between liquid drops , 1978, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[220]  H. G. Flynn Cavitation dynamics: II. Free pulsations and models for cavitation bubbles , 1975 .

[221]  D. Schaeffer,et al.  Two phase flows and waves , 1990 .

[222]  M. Kipp,et al.  Transient wave propagation in bubbly liquids , 1979, Journal of Fluid Mechanics.

[223]  M. Kerker,et al.  Brownian coagulation of aerosols in rarefied gases , 1977 .

[224]  D. Drew Mathematical Modeling of Two-Phase Flow , 1983 .

[225]  L. van Wijngaarden,et al.  Two-phase flow equations for a dilute dispersion of gas bubbles in liquid , 1984, Journal of Fluid Mechanics.

[226]  Philip M. Morse,et al.  Methods of Mathematical Physics , 1947, The Mathematical Gazette.

[227]  C. T. Crowe,et al.  A mechanism for particle growth in a rocket nozzle. , 1966 .

[228]  L. P. Delsasso,et al.  Attenuation and Dispersion of Sound by Solid Particles Suspended in a Gas , 1958 .

[229]  Bradley P. Barber,et al.  Observation of synchronous picosecond sonoluminescence , 1991, Nature.

[230]  A. B. Pippard,et al.  The Elements of Classical Thermodynamics , 1958 .

[231]  C. N. Davies,et al.  The Mechanics of Aerosols , 1964 .

[232]  F. E. Marble Dynamics of Dusty Gases , 1970 .

[233]  Edward R. Floyd Thermodynamic corrections to the velocity of propagation in a bubbly medium , 1981 .

[234]  L. Ting,et al.  Effective Equations for Multiphase Flows—Waves in a Bubbly Liquid , 1991 .

[235]  S. Temkin Sound speeds in suspensions in thermodynamic equilibrium , 1992 .

[236]  Herman Medwin,et al.  Acoustical determinations of bubble‐size spectra , 1977 .

[237]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[238]  William F. Murphy,et al.  The transient settling of stable and flocculated dispersions , 1990, Journal of Fluid Mechanics.

[239]  P. Thomas On the influence of the Basset history force on the motion of a particle through a fluid , 1992 .

[240]  Viscous attenuation of acoustic waves in suspensions , 1989 .

[241]  H. Brenner Rheology of Two-Phase Systems , 1970 .

[242]  Robert H. Davis,et al.  Sedimentation of noncolloidal particles at low Reynolds numbers , 1985 .

[243]  James D. Klett,et al.  Theoretical Collision Efficiencies of Cloud Droplets at Small Reynolds Numbers , 1973 .

[244]  Christopher K. W. Tam,et al.  The drag on a cloud of spherical particles in low Reynolds number flow , 1969, Journal of Fluid Mechanics.

[245]  L. Crum,et al.  Acoustic Cavitation , 1982 .

[246]  S. Temkin Attenuation and dispersion of sound in bubbly fluids via the Kramers—Kronig relations , 1990, Journal of Fluid Mechanics.

[247]  W. T. Koiter,et al.  Some problems in the formulation of the equations for gas/liquid flows , 1976 .

[248]  Accurate measurements of sphere drag at low Reynolds numbers , 1965 .

[249]  G. Brenn,et al.  Collision and merging of two equal droplets of propanol , 1989 .

[250]  Dominique Legendre,et al.  The viscous drag force on a spherical bubble with a time-dependent radius , 1998 .

[251]  G. B. Jeffery,et al.  The Motion of Two Spheres in a Viscous Fluid , 1926 .

[252]  R. E. Lee,et al.  The Size of Suspended Particulate Matter in Air , 1972, Science.

[253]  Herman Medwin,et al.  In situ acoustic measurements of bubble populations in coastal ocean waters , 1970 .

[254]  I. I. Glass,et al.  On a dusty-gas shock tube , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[255]  P. Saffman,et al.  On the collision of drops in turbulent clouds , 1956, Journal of Fluid Mechanics.

[256]  T. Maxworthy,et al.  The nonlinear capillary instability of a liquid jet. Part 3. Experiments on satellite drop formation and control , 1980, Journal of Fluid Mechanics.

[257]  D. Wedlock,et al.  A Wide Bandwidth Study of Ultrasound Velocity and Attenuation in Suspensions: Comparison of Theory with Experimental Measurements , 1993 .

[258]  G. Rudinger Some Properties of Shock Relaxation in Gas Flows Carrying Small Particles , 1963 .

[259]  Efstathios E. Michaelides,et al.  Heat transfer from a rigid sphere in a nonuniform flow and temperature field , 1994 .

[260]  L. van Wijngaarden,et al.  On the equations of motion for mixtures of liquid and gas bubbles , 1968, Journal of Fluid Mechanics.

[261]  Richard R. Carhart,et al.  The Absorption of Sound in Suspensions and Emulsions. I. Water Fog in Air , 1953 .

[262]  B. J. Mason,et al.  The physics of clouds , 1971 .

[263]  J. W. Telford,et al.  The coalescence between small water drops , 1955 .

[264]  S. A. Morsi,et al.  An investigation of particle trajectories in two-phase flow systems , 1972, Journal of Fluid Mechanics.

[265]  L. Wijngaarden,et al.  Relaxation effects, caused by relative motion, on shock waves in gas-bubble/liquid mixtures , 1974, Journal of Fluid Mechanics.

[266]  D. Henley,et al.  Attenuation and dispersion of acoustic energy by atmospheric dust , 1973 .

[267]  P. Marston Evaporation‐condensation resonance frequency of oscillating vapor bubbles , 1979 .

[268]  R. Dennis Handbook on aerosols , 2000 .

[269]  Ronald A. Roy,et al.  The velocity of sound in fluidised beds , 1990 .

[270]  L. Dufour,et al.  Thermodynamics of clouds , 1963 .

[271]  A. Herczyński,et al.  Toward a Statistical Theory of Suspension , 1980 .

[272]  A. Bedford,et al.  A theory of bubbly liquids , 1979 .

[273]  G. Carrier Shock waves in a dusty gas , 1958, Journal of Fluid Mechanics.

[274]  S. Friedlander,et al.  Smoke, Dust and Haze: Fundamentals of Aerosol Behavior , 1977 .

[275]  Bryan R. Kerman,et al.  The release of air bubbles from an underwater nozzle , 1991 .

[276]  R. Kanwal Drag on an axially symmetric body vibrating slowly along its axis in a viscous fluid , 1964, Journal of Fluid Mechanics.

[277]  M. Shapiro,et al.  Collision Efficiency of Drops in a Wide Range of Reynolds Numbers: Effects of Pressure on Spectrum Evolution , 2001 .

[278]  M. Maxey,et al.  Unsteady flow about a sphere at low to moderate Reynolds number. Part 1. Oscillatory motion , 1994, Journal of Fluid Mechanics.

[279]  T. J. Hanratty,et al.  Fluidization and sedimentation of spherical particles , 1957 .

[280]  Robert I. Nigmatulin,et al.  Sound waves in monodisperse gas-particle or vapour-droplet mixtures , 1988, Journal of Fluid Mechanics.

[281]  J. Klett,et al.  Microphysics of Clouds and Precipitation , 1978, Nature.

[282]  R. Jaenicke,et al.  The mathematical expression of the size distribution of atmospheric aerosols , 1976 .

[283]  P. Mazur,et al.  Many-sphere hydrodynamic interactions and mobilities in a suspension , 1982 .

[284]  A. Acrivos,et al.  Heat and Mass Transfer from Small Spheres and Cylinders Freely Suspended in Shear Flow , 1968 .

[285]  K. T. Whitby,et al.  Letter: The size of suspended particle matter in air. , 1974, Science.

[286]  C. V. Larrick,et al.  Acoustic coagulation and precipitation of aerosols , 1965 .

[287]  S. Temkin,et al.  Attenuation and Dispersion of Sound by Particulate‐Relaxation Processes , 1966 .

[288]  Francis E. Fox,et al.  Phase Velocity and Absorption Measurements in Water Containing Air Bubbles , 1955 .

[289]  F. M. Burrows Calculation of the primary trajectories of seeds and other particles in strong winds , 1983 .

[290]  M. Mozurkewich,et al.  Aerosol Growth and the Condensation Coefficient for Water: A Review , 1986 .

[291]  D. Wedlock,et al.  A Wide-Bandwidth Ultrasonic Study of Suspensions: The Variation of Velocity and Attenuation with Particle Size , 1994 .

[292]  S. Goldstein The Forces on a Solid Body Moving through Viscous Fluid , 1929 .

[293]  C. Tropea,et al.  Light Scattering from Small Particles , 2003 .

[294]  L. G. Leal,et al.  Particle Motions in a Viscous Fluid , 1980 .

[295]  C. Pozrikidis A singularity method for unsteady linearized flow , 1989 .

[296]  T. Teichmann,et al.  Introduction to physical gas dynamics , 1965 .

[297]  J. Kestin,et al.  Physical aspects of the relaxation model in two-phase flow , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[298]  Jacques Magnaudet,et al.  Accelerated flows past a rigid sphere or a spherical bubble. Part 1. Steady straining flow , 1995, Journal of Fluid Mechanics.

[299]  Clayton T. Crowe,et al.  Review—Numerical Models for Dilute Gas-Particle Flows , 1982 .

[300]  Frank E. Marble,et al.  Sound attenuation in a condensing vapor , 1970 .

[301]  J. Chow Attenuation of Acoustic Waves in Dilute Emulsions and Suspensions , 1964 .

[302]  Michael J. Miksis,et al.  Wave propagation in bubbly liquids at finite volume fraction , 1985, Journal of Fluid Mechanics.

[303]  ON THE DRIFT OF AEROSOL PARTICLES IN SONIC FIELDS , 1992 .

[304]  R. Urick,et al.  The Propagation of Sound in Composite Media , 1949 .

[305]  M. Longuet-Higgins An analytic model of sound production by raindrops , 1990, Journal of Fluid Mechanics.

[306]  Michael S. Longuet-Higgins Resonance in nonlinear bubble oscillations , 1991 .

[307]  A. Sangani A pairwise interaction theory for determining the linear acoustic properties of dilute bubbly liquids , 1991, Journal of Fluid Mechanics.

[308]  Andrea Prosperetti,et al.  Bubble dynamics in a compressible liquid. Part 2. Second-order theory , 1987, Journal of Fluid Mechanics.

[309]  J. Reichman,et al.  A New Technique to Photograph Small Particles in Motion , 1972 .

[310]  John H. Neilson,et al.  An analytical and experimental investigation of the velocities of particles entrained by the gas flow in nozzles , 1968, Journal of Fluid Mechanics.

[311]  L. Crum,et al.  Sonoluminescence, sonochemistry, and sonophysics , 1994 .

[312]  E. Silberman Sound Velocity and Attenuation in Bubbly Mixtures Measured in Standing Wave Tubes , 1957 .

[313]  Seth Putterman,et al.  Sonoluminescence: Sound into light , 1995 .

[314]  Fuat Odar,et al.  Verification of the proposed equation for calculation of the forces on a sphere accelerating in a viscous fluid , 1966, Journal of Fluid Mechanics.

[315]  R. A. Mugele,et al.  Droplet Size Distribution in Sprays , 1951 .

[316]  J. E. Cole,et al.  Propagation of Sound Through Atmospheric Fog , 1970 .

[317]  G. Rudinger Gas-particle flow in convergent nozzles at high loading ratios , 1970 .

[318]  R. G. Cox The deformation of a drop in a general time-dependent fluid flow , 1969, Journal of Fluid Mechanics.

[319]  G. Rudinger,et al.  Some effects of finite particle volume on the dynamics of gas-particle mixtures , 1965 .

[320]  Andrea Prosperetti,et al.  The crevice model of bubble nucleation , 1989 .

[321]  M. Longuet-Higgins,et al.  Monopole emission of sound by asymmetric bubble oscillations. Part 1. Normal modes , 1989, Journal of Fluid Mechanics.

[322]  M. C. Davis Coal slurry diagnostics by ultrasound transmission , 1978 .

[323]  I. I. Glass,et al.  On the passage of a shock wave through a dusty-gas layer , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[324]  S. Goldstein,et al.  The Steady Flow of Viscous Fluid Past a Fixed Spherical Obstacle at Small Reynolds Numbers , 1929 .

[325]  John H. Seinfeld,et al.  Simulation of multicomponent aerosol dynamics , 1992 .

[326]  C. P. Lee,et al.  Viscous damping of the oscillations of a rotating simple drop , 1985 .

[327]  G. Hetsroni,et al.  Sedimentation in a dilute dispersion of small drops of various sizes , 1981 .

[328]  G. Batchelor,et al.  The hydrodynamic interaction of two small freely-moving spheres in a linear flow field , 1972, Journal of Fluid Mechanics.

[329]  K. Suslick,et al.  Molecular emission from single-bubble sonoluminescence , 2000, Nature.

[330]  M. Orme,et al.  On the genesis of droplet stream microspeed dispersions , 1991 .

[331]  D. Blanchard,et al.  Bursting of Bubbles at an Air–Water Interface , 1954, Nature.

[332]  L. G. Leal,et al.  The drag coefficient for a spherical bubble in a uniform streaming flow , 1988 .

[333]  K. Suslick,et al.  The energy efficiency of formation of photons, radicals and ions during single-bubble cavitation , 2002, Nature.