Suspension Acoustics: An Introduction to the Physics of Suspensions

Samuel Temkin

doi:10.1017/CBO9780511546129

References

Bibliography

Books

BASIC PHYSICS AND MATHEMATICS

Fluid mechanics

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics, Cambridge

Lamb, H. 1932 Hydrodynamics, Dover

Landau, L. D. and Lifshitz, E. M. 1959 Fluid Mechanics, Pergamon

Liepmann, H. W. and Roshko, A. 1957 Elements of Gasdynamics, Wiley

Vincenti, W. G. and Kruger, C. H. Jr., 1963 Introduction to Physical Gas Dynamics, Wiley

Heat and thermodynamics

Epstein, P. S. 1937 Textbook of Thermodynamics, Wiley

Callen, H. 1960 Thermodynamics, Wiley

Carslaw, H. S. and Jaeger, J. C. 1959 Conduction of Heat in Solids, Oxford

Landau, L. D. and E. M. Lifshitz, E. M. 1958 Statistical Physics, Pergamon

Pippard, A. B. 1961 The Elements of Classical Thermodynamics, Cambridge

Prigogine, I. 1967 Thermodynamics of Irreversible Processes, 3rd Ed., Interscience

Woods, L. C. 1975 The Thermodynamics of Fluid Systems, Oxford

Mathematics and mathematical tables

Abramowitz, M. and Stegun, I. 1964 Handbook of Mathematical Functions, Dover

Aris, R. 1989 Vectors, Tensors, and the Basic Equations of Fluid Mechanics, Dover

Gradshteyn, I. S. and Ryzhik, I. M. 1965 Tables of Integrals, Series and Products, Academic

Jeffreys, H. and Jeffreys, B. S. 1956 Methods of Mathematical Physics, Cambridge

Morse, P. M. and Feshbach, H. 1953 Methods of Theoretical Physics, Vols. I and II, McGraw-Hill

Smith, M. G. 1966 Laplace Transform Theory, van Nostrand

Tricomi, F. G. 1985 Integral Equations, Dover

Mechanics

Goldstein, H. 1959 Classical Mechanics, Addison-Wesley

Landau, L. D. and , E. M.Lifshitz, E. M. 1960 Mechanics, Pergamon

Pippard, A. B. 1978 The Physics of Vibration, Cambridge

Synge, J. L. and Griffith, B. A. 1959 Principles of Mechanics, McGraw-Hill

Sound

Bhatia, A. B. 1967 Ultrasonic Absorption, Dover

Herzfeld, K. F. and Litovitz, T. A. 1959 Absorption and Dispersion of Ultrasonic Waves, Academic

Morse, P. M. and Ingard, K. U. 1972 Theoretical Acoustics, McGraw-Hill

Price, A. D. 1989 Acoustics – An Antroduction to Its Physical Principles and Applications, Acoustical Society of America

Skudrzyk, E. 1971 The Foundations of Acoustics, Springer

Strutt, J. W. 1896 The Theory of Sound, Vol. II, 2nd Ed., Dover

Temkin, S. 2001a Elements of Acoustics, Acoustical Society of America

PARTICLES AND SUSPENSIONS

Clift, R., Grace, J. R., and Weber, M. E. 1978 Bubbles, Drops and Particles, Academic

Crow, C., Summerfeld, M., and Tsuji, Y. 1998 Multiphase Flows with Droplets and Particles, CRC

Davies, C. N. 1968 Aerosol Science, Academic

Dennis, S., Ed. 1976 Handbook on AerosolsNational Technical Information Service, Document No. TID 26608

Drake, R. L. 1974 A General Mathematical Survey of the Coagulation Equation (Vol. 3 of International Reviews in Aerosol Physics and Chemistry, Hidy, G. M. and Brock, J. R., Eds.), Pergamon

Dufour, L. and Dufay, R. 1963 Thermodynamics of Clouds, Academic

Einstein, A. 1926 Investigations on the Theory of the Brownian Movement, Fürth, R., Ed., Dover

Friedlander, S. K. 1977 Smoke, Dust and Haze: Fundamentals of Aerosol Behavior, Wiley

Frohn, A. and Roth, N. 2000 Dynamics of Droplets, Springer

Fuchs, N. A. 1959 Evaporation and Droplet Growth in Gaseous Media, Pergamon

Fuchs, N. A. 1964 The Mechanics of Aerosols, Dover

Happel, J. and Brenner, H. 1965 Low Reynolds Number Hydrodynamics, Prentice Hall

Hunter, R. J. 1987 Foundations of Colloid Science, Vols. I and II, Oxford

Ishii, M. 1975 Thermo-fluid Dynamic Theory of Two-phase Flow, Eyrolles

Joseph, D. D. and Schaeffer, D. G. Eds., 1990 Two Phase Flows and Waves, Springer

Kim, S. and Karrila, S. J. 1990 Microhydrodynamics, Butterworth-Heinemann

Kirkwood, J. G. 1967 Macromolecules, Auer, P. L., Ed., Gordon and Breach

Leighton, T. G. 1994 The Acoustic Bubble, Academic

Mason, B. J. 1971 The Physics of Clouds, Oxford

Mednikov, E. 1965 Acoustic Coagulation and Precipitation of Aerosols, Plenum

Millikan, R. A. 1917 The Electron, Chicago

Nakoryakov, V. E., Pokusaev, B. G., and Shreiber, I. R. 2000 Wave Propagation in Gas-Liquid Media, CRC

Oseen, C. W. 1927 Neuere Methoden in der Hydrodynamik, Leipzig

Pruppacher, H. R. and Klett, J. D. 1978 Microphysics of Clouds and Precipitation, D. Reidel

Russel, W. B. 1987 The Dynamics of Colloidal Systems, Wisconsin

Russel, W. B., Saville, D. A., and Schowalter, W. R. 1990 Colloidal Dispersions, Cambridge

Soo, S. L. 1967 Fluid dynamics of Multiphase Systems, Blaisdell

Soo, S. L. 1989 Particulate and Continuum – Multiphase Fluid Mechanics, Hemisphere

Ungarish, M. 1993 Hydrodynamics of Suspensions, Springer

Hulst, H. C. 1957 Light Scattering by Small Particles, Wiley

Young, F. R. 1989 Cavitation, McGraw-Hill

REVIEW ARTICLES

Batchelor, G. K. 1974 Transport properties of two phase materials with random structure, Ann. Rev. Fluid Mech. 6, 227–255

Batchelor, G. K. 1976 Developments in microhydrodynamics, in Theoretical and Applied Mechanics, Proceedings of the 14th IUTAM Congress, Delft, The Netherlands, Koiter, W. T., Ed., North-Holland

Brady, J. F. 1988 Stokesian dynamics, Ann. Rev. Fluid Mech. 20, 111–157

Brenner, H. 1970 Rheology of two-phase systems, Ann. Rev. Fluid Mech. 2, 137–176

Clift, R. and Gauvin, W. H. 1971 Motion of entrained particles in gas streams, Can. J. Chem. Eng. 19, 439–448

Davis, R. H. and Acrivos, A. 1985 Sedimentation of non-colloidal particles at low Reynolds numbers, Ann. Rev. Fluid. Mech. 17, 91–118

Drew, D. A. 1983 Mathematical modeling of two-phase flow, Ann. Rev. Fluid Mech. 15, 261–291

Herczynski, R. and Pienkowska, I. 1980 Toward a statistical theory of suspension, Ann. Rev. Fluid Mech. 12, 237–269

Hughes, R. R. and Gilliland, E. R. 1952 The mechanics of drops, Chem. Eng. Prog., 48, 497–504

Igra, O. and Ben-Dor, O. 1988 Dusty shock waves, Appl. Mech. Revs. 41, 379–437

Lane, W. R. and Green, H. L. 1956 The mechanics of drops and bubbles, in Surveys in Mechanics, The G. I. Taylor 70th Anniversary Volume, Batchelor, G. K. and Davies, R. M., Eds., Cambridge

Lavenda, B. H. 1985 Brownian motion, Sci. Amer. 252, 70–85

Leal, L. G. 1980 Particle motions in a viscous fluid, Ann. Rev. Fluid Mech. 12, 435–476

Lohse, D. 2003 Bubble puzzles, Phys. Today 56, 36–41

Marble, F. E. 1970 Dusty gases, Ann. Rev. Fluid Mech. 2, 397–448

Plesset, M. S. and Prosperetti, A. 1977 Bubble dynamics and cavitation, Ann. Rev. Fluid Mech. 9, 145–185

Rudinger, G. 1973 Wave propagation in suspensions of solid particles in gas flow, Appl. Mech. Revs. 26, 273–279

Russel, W. B. 1981 Brownian motion of small particles suspended in liquids, Ann. Rev. Fluid Mech. 13, 425–455

Spielman, L. A. 1977 Particle capture from low-speed laminar flows, Ann. Rev. Fluid Mech. 9, 297–319

Torobin, L. B. and Gauvin, W. H. 1959 Fundamentals of solid-gas flow. III. Accelerated motion of a particle in a fluid, Can. J. Chem. Eng. 38, 224–236

Weinbaum, S., Ganatos, P., and Yan, Z. Y. 1990 Numerical multipole and boundary integral equation techniques in Stokes flow, Ann. Rev. Fluid Mech. 22, 275–316

Wijngaarden, L.. 1972 One dimensional flow of liquids containing small gas bubbles, Ann. Rev. Fluid Mech. 4, 369–396

RESEARCH ARTICLES

Acoustics of suspensions

General suspensions

Allegra, J. R. and Hawley, S. A. 1972 Attenuation of sound in suspensions and emulsions: Theory and experiments, J. Acoust. Soc. Amer. 51, 1545–1564

Chambre, P. L. 1954 Speed of a plane wave in a gross mixture, J. Acoust. Soc. Amer. 26, 329–331

Chow, J. C. F. 1964 Attenuation of acoustic waves in dilute emulsions and suspensions, J. Acoust. Soc. Am. 36, 2395–2401

Epstein, P. S. 1941 On the absorption of sound by suspensions and emulsions, in Contributions to Applied Mechanics, Theodore von Karman Anniversary Volume, California Institute of Technology, pp. 162–188

Epstein, P. S. and Carhart, R. R. 1953 The absorption of sound in suspensions and emulsions, I. Water fog in air, J. Acoust. Soc. Amer. 25, 553–565

Hay, A. E. and Schaafsama, A. S. 1989 Resonance scattering in suspensions, J. Acoust. Soc. Amer. 85, 1124–1138

Morfey, C. L. 1968 Sound attenuation by small particles in a fluid, J. Sound Vib. 8, 156–170

Temkin, S. 1992 Sound speeds in suspensions in thermodynamic equilibrium, Phys. Fluids A 4, 2399–2409

Temkin, S. 1996 Viscous attenuation of sound in dilute suspensions of rigid particles, J. Acoust. Soc. Amer. 100, 825–831

Temkin, S. 1998 Sound propagation in dilute suspensions of rigid particles, J. Acoust. Soc. Amer. 103, 838–849

Temkin, S. 2000 Attenuation and dispersion of sound in dilute suspensions of spherical particles, J. Acoust. Soc. Amer. 108, 126–146

Temkin, S. 2002 Erratum: Attenuation and dispersion of sound in dilute suspensions of spherical particles, J. Acoust. Soc. Amer. 111, 1126–1128

Aerosols

Chu, B. T. 1960 Thermodynamics of a dusty gas and its applications to some aspects of wave propagation in the gas, Brown University, Division of Engineering Report No. DA-4761/1

Cole, J. III and Dobbins, R. A. 1970 Propagation of sound through atmospheric fog, J. Atmos. Sci. 27, 426–434

Cole, J. E. III and Dobbins, R. A. 1971 Measurements of the attenuation of sound in a warm air fog, J. Atmos. Sci. 28, 202–209

Davidson, G. A. and Scott, D. S. 1973 Finite-amplitude acoustics of aerosols, J. Acoust. Soc. Amer. 53, 1717–1729

Davidson, G. A. and Scott, D. S. 1973 Finite-amplitude acoustic phenomena in aerosols from a single governing equation, J. Acoust. Soc. Amer. 54, 1331–1342

Foner, S. N. and Nall, B. H. 1975 Attenuation of sound by rigid spheres: Measurements of the viscous and thermal components of attenuation and comparison with theory, J. Acoust. Soc. Amer. 57, 59–66

Gumerov, N. A., Ivanadev, A. I., and Nigmatulin, R. I. 1988 Sound waves in monodisperse gas-particle or vapour droplet mixtures, J. Fluid Mech. 193, 53–74

Henley, D. C. and Hoidale, G. B. 1973 Attenuation and dispersion of acoustic energy by atmospheric dust, J. Acoust. Soc. Amer. 54, 437–445

Ishii, R. and Matsuhisa, H. 1983 Steady reflection, absorption and transmission of small disturbances by a screen of dusty gas, J. Fluid Mech. 130, 259–277

Knudsen, V. O., Wilson, J. V., and Anderson, N. S. 1948 The attenuation of audible sound in fogs and smokes, J. Acoust. Soc. Amer. 20, 849–857

Marble, F. E. and Wooten, D. C. 1970 Sound attenuation in a condensing vapor, Phys. Fluids. 13, 2657–2664

Margulies, T. S. and Schwarz, W. H. 1994 A multiphase continuum theory for sound wave propagation through dilute suspensions of particles, J. Acoust. Soc. Amer. 96, 319–331

Sewell, C. J. T. 1910 On the extinction of sound in a viscous atmosphere by small obstacles of cylindrical and spherical form, Phil. Trans. R. Soc. Lond. A210, 239–270

Temkin, S. 1993 Particle force and heat transfer in a dusty gas sustaining an acoustic wave, Phys. Fluids 5, 1296–1304

Temkin, S. and Dobbins, R. A. 1966a Attenuation and dispersion of sound by particulate relaxation processes, J. Acoust. Soc. Amer. 40, 317–324

Temkin, S. and Dobbins, R. A. 1966b Measurement of the attenuation and dispersion of sound by an aerosol, J. Acoust. Soc. Amer. 40, 1016–1024

Zink, J. W. and Delsasso, L. P. 1958 Attenuation and dispersion of sound by solid particles suspended in a gas, J. Acoust. Soc. Amer. 30, 765–771

Bubbly liquids

Batchelor, G. K. 1967 Compression waves in a suspension of gas bubbles in liquid, Fluid Dynamics Transactions4, 425–445. Institute of Fundamental Technical Research, Polish Academy of Science, Warsaw

Caflisch, R. E., Miksis, M. J., Papanicolaou, G. C., and Ting, L. 1985 Wave propagation in liquids at finite volume fraction, J. Fluid Mech. 160, 1–14

Carstensen, E. L. and Foldy, L. L. 1947 Propagation of sound through a liquid containing bubbles, J. Acoust. Soc. Amer. 19, 481–501

Cheyne, S. A., Stebbings, C. T., and Roy, R. A. 1995 Phase velocity measurements in bubbly liquids using a fiber optic laser interferometer, J. Acoust. Soc. Amer. 97, 1621–1624

Commander, K. W. and Prosperetti, A.1989 Linear pressure waves in bubbly liquids: Comparison between theory and experiments, J. Acoust. Soc. Amer. 85, 732–746

Crespo, A. 1969 Sound and shock waves in liquids containing bubbles, Phys. Fluids 12, 2274–2282

Drumheller, D. S., Kipp, M. E., and Bedford, A. 1982 Transient wave propagation in bubbly liquids, J. Fluid Mech. 119, 347–365

Eller, A. I. 1970 Damping constants of pulsating bubbles, J. Acoust. Soc. Amer. 47, 1469–1470

Floyd, E. R. 1981 Thermodynamic corrections to the velocity of propagation in a bubbly medium, J. Acoust. Soc. Amer. 70, 1748–1751

Fox, F. E., Curley, S. R., and Larson, G. S. 1955 Phase velocity and absorption measurements in water containing air bubbles, J. Acoust. Soc. Amer. 27, 534–539

Gaunaurd, G. C. and H.Überall, H. 1981 Resonance theory of bubbly liquids, J. Acoust. Soc. Amer. 69, 362–370

Hsieh, D. Y. and Plesset, M. S. 1961 On the propagation of sound in liquids containing gas bubbles, Phys. Fluids 4, 970–975

Karplus, H. B. 1961 The velocity of sound in liquids containing gas bubbles, Research and Development/Report ARF-4132-12, Atomic Energy Commission

Karpov, S., Propseretti, A., and Ostrovsky, L. 2003 Nonlinear wave interaction in bubbly layers, J. Acoust. Soc. Amer. 113, 1304–1316

Kieffer, S. 1977 Sound speed in liquid-gas mixtures: Water-air and water-steam, J. Geophys. Res. 82, 2895–2904

Miksis, M. J. and Ting, L. 1989 Effects of bubbly layers on wave propagation, J. Acoust. Soc. Amer. 86, 2349–2358

Nicholas, M., Roy, R. A., Crum, L. A., Oguz, H., and Prosperetti, A. 1994 Sound emission by a laboratory bubble cloud, J. Acoust. Soc. Amer. 95, 3171–3181

Nigmatulin, R. I., Khabeev, N. S., and Hai, Z. N. 1988 Waves in liquids with vapour bubbles, J. Fluid Mech. 186, 85–117

Noordzij, L. and Wijngaarden, L.. 1974 Relaxation effects, caused by relative motion, on shock waves in gas-bubble/liquid mixtures, J. Fluid Mech. 66, 115–143

Sangani, A. S. 1991 A pairwise interaction theory for determining the linear acoustic properties of dilute bubbly liquids, J. Fluid Mech. 232, 221–284

Silberman, E. 1957 Sound velocity and attenuation in bubbly mixtures measured in standing wave tubes, J. Acoust. Soc. Amer. 29, 925–933

Temkin, S. 1990 Attenuation and dispersion of sound in bubbly liquids via the Kramers-Kronig relations, J. Fluid Mech. 211, 61–72

Emulsions

Evans, J. M. and Attenborough, K. 1997 Coupled phase theory for sound propagation in emulsions, J. Acoust. Soc. Amer. 102, 278–282

Fukumoto, Y. and T. Izuyama, T. 1992 Thermal attenuation and dispersion of sound in a periodic emulsion, Phys. Rev. A 46, 4905–4921

Hemar, Y., Hocquart, R., and Palierne, J. F. 1998 Frequency-dependent compressibility in emulsions: Probing interfaces using Isakovitch sound absorption, Europhys. Lett. 42, 253–258

Isakovitch, M. A. 1948 On the propagation of sound in emulsions, Zh. Exper. ⅰ Teor. Fiz. 18, 907–912

McClements, D. J. and Povey, M. J. W. 1989 Scattering of ultrasound by emulsions, J. Phys. D: Appl. Phys. 22, 38–47

Onuki, A. 1991 Sound propagation in phase-separating fluids, Phys. Rev. A 43, 6740–6755

Hydrosols

Atkinson, C. M. and Kytömaa, H. K. 1992 Acoustic wave speed and attenuation in suspensions, Int. J. Multiphase Flow 18, 577–592

Gibson, R. L. and Toksöz, M. N. 1989 Viscous attenuation of acoustic waves in suspensions, J. Acoust. Soc. Amer. 85, 1925–1934

Harker, A. H. and Temple, J. A. G. 1988 Velocity and attenuation of ultrasound in suspensions of particles in fluids, J. Phys. D 21, 1576–1588

Hay, A. E. and Mercer, D. G. 1985 On the theory of sound scattering and viscous absorption in aqueous suspensions at medium and short wavelengths, J. Acoust. Soc. Amer. 78, 1761–1771

Herzfeld, K. F. 1930 Propagation of sound in suspensions, Phil. Mag. 9 (7th Series), 752–768

Holmes, A. K. and Challis, R. E. 1993 A wide bandwidth study of ultrasound velocity and attenuation in suspensions: Comparison of theory and experimental measurements, J. Colloid. Interface Sci. 156, 261–268

Holmes, A. K., Challis, R. E., and Wedlock, D. J. 1994 A wide bandwidth ultrasonic study of suspensions: The variation of velocity and attenuation with particle size, J. Colloid. Interface Sci. 168, 339–348

Urick, R. J. 1947 A sound velocity method for determining the compressibility of finely divided substances, J. Appl. Phys. 18, 983–987

Urick, R. J. 1948 The absorption of sound of irregular particles, J. Acoust. Soc. Amer. 20, 283–289

Urick, R. J. and Ament, W. S. 1948 The propagation of sound in composite media, J. Acoust. Soc. Amer. 21, 115–119

Breakup, collision, and coalescence

Anilkumar, A. V., Lee, C. P., and Wang, T. G. 1993 Stability of an acoustically levitated and flattened drop: An experimental study, Phys. Fluids 5, 2763–2774

Ashgriz, N. and Poo, J. Y. 1990 Coalescence and separation in binary collisions of liquid drops, J. Fluid Mech. 221, 183–204

Beal, S. K. 1972 Turbulent agglomeration of suspensions, J. Aerosol Sci., 3, 113–125

Blanchard, D. C. 1954 Bursting of bubbles at an air-water interface, Nature 173, 1048

Bradley, S. G. and Stow, C. D. 1978 Collision between liquid drops, Phil. Trans. R. Soc. Lond. A 287, 635–678

Brenn, G. and Frohn, A. 1989 Collision and merging of two equal spheres of propanol, Exp. Fluids 7, 441–446

Crowe, C. T. and Willoughby, P. G. 1966 A mechanism for particle growth in a rocket nozzle, AIAA J. 4, 1677–1678

Danilov, S. D. and Mirnov, M. A. 1992 Breakup of a droplet in a high-intensity sound field, J. Acoust. Soc. Amer. 92, 2747–2755

Falkovich, G., Fouxon, A., and Stepanov, M. G. 2002 Acceleration of rain initiation by cloud turbulence, Nature 419, 151–154

Gast, L. 1991 Capillary instability of a liquid ring. Ph.D. thesis, Rutgers University

Gelbard, F., Mondy, L. A., and Ohrt, S. E. 1991 A new method for determining hydrodynamic effects on the collision of two spheres, J. Statist. Phys. 62, 945–960, 1991

Gelbard, F. and Seinfeld, J. 1980 Simulation of multicomponent aerosol dynamics, J. Colloid Interface Sci. 78, 485–501

Hoffmann, T. L. and Koopmann, G. H. 1997 Visualization of acoustic particle interaction and agglomeration: Theory and experiments, J. Acoust. Soc. Amer. 101, 3421–3429

Klett, J. D. and Davis, M. H. 1973 Theoretical collision efficiencies of cloud droplets at small Reynolds numbers, J. Atmos. Sci. 30, 107–117

Marble, F. E. 1964 Mechanism of particle collision in the one-dimensional dynamics of gas-particle mixtures, Phys. Fluids 7, 1270–1282

Marble, F. E. 1967 Droplet agglomeration in rocket nozzles caused by particle slip and collision, Astronautica Acta, 13, 159–166

Megaridis, C. M. and Dobbins, R. A. 1990 A bimodal integral solution of the dynamic equation for an aerosol undergoing simultaneous particle inception and coagulation, Aerosol Sci. Technol. 12, 240–255

Mehta, H. 1980 Droplet drag and breakup in shock-wave induced unsteady flows. Ph.D. thesis, Rutgers University

Pinsky, M., Khain, A., and Shapiro, M. 2001 Collision efficiency of drops in a wide range of Reynolds numbers, J. Atmos. Sci. 58, 742–766

Reichman, J. 1973 A study of the motion, deformation and breakup of accelerating water droplets. Ph.D. thesis, Rutgers University

Reichman, J. M. and Temkin, S. 1974 A study of the deformation and breakup of accelerating water droplets, Proceedings of the International Colloquim on Drops and Bubbles, California Institute of Technololgy, Jet Propul. Lab. 2, 446–464

Saffman, P. G. and Turner, J. S. 1956 On the collision of drops in turbulent clouds, J. Fluid Mech. 1, 16–30, 1956. (Corrigendum, J. Fluid Mech. 196, 599, 1988.)

Scott, D. S. 1975 A new approach to the acoustic conditioning of industrial aerosol emissions, J. Sound Vib. 43, 607–619

Shaw, D. T. and Tu, K. W. 1979 Acoustic particle agglomeration due to hydrodynamic interaction between monodisperse aerosols, J. Aerosol Sci. 10, 317–328

Shuster, K., Fichman, M., Goldshtein, A., and Gutfinger, C. 2002 Agglomeration of submicrometer particle in weak periodic shock waves, Phys. Fluids 14, 1802–1805

Szumowski, A. P. and Falkowski, K. 1995 Photographic study of the shock-induced dispersion of microscopic gas bubbles, Phys. Fluids 7, 2529–2531

Telford, J. W., Thorndike, N. S., and Bowen, E. G. 1955 The coalescence of small water drops, Q. J. R. Met. Soc. 81, 241–250

Temkin, S. 1969 Cloud droplet collision induced by thunder, J. Atmos. Sci. 26, 776

Temkin, S. 1970 Droplet agglomeration induced by weak shock waves, Phys. Fluids 13, 1639–1641

Temkin, S. 1994 Gasdynamic agglomeration of aerosols. I. Acoustic waves, Phys. Fluids 6, 2294–2303

Wagner, P. E. and Kerker, M. 1977 Brownian coagulation of aerosols in rarefied gases, J. Chem. Phys. 66, 638–646

Warren, D. and Seinfeld, J. H. 1985 Simulations of aerosol size distribution evolution in systems with simultaneous nucleation, condensation and coagulation, Aerosol Sci. Technol. 4, 31–43

Whelpdale, D. M. and List, R. 1971 The coalescence process in raindrop growth, J. Geophys. Res. 76, 2386–2856

Zhang, X. and Davis, R. H. 1991 The rate of collisions due to Brownian or gravitational motion of small drops, J. Fluid Mech. 230, 479–504

Bubble and droplet formation

Adam, J. R., Cataneo, R., and Semonin, R. G. 1971 The production of equal and unequal size droplet pairs, Rev. Sci. Instr. 42, 1847–1849

Atchley, A. and Prosperetti, A. 1989 The crevice model of bubble nucleation, J. Acoust. Soc. Amer. 86, 1065–1084

Bassett, J. D. and Bright, A. W. 1976 Observations concerning the mechanism of atomization in an ultrasonic fountain, J. Aerosol Sci. 7, 47–51

Brenn, G. and Lackermeier, U. 1997 Drop formation from a vibrating orifice generator driven by modulated electrical signals, Phys. Fluids 9, 3658–3669

Chaudhary, K. C. and Maxworthy, T. 1980 The nonlinear instability of a liquid jet. Part 3. Experiments on satellite drop formation and control, J. Fluid Mech. 96, 287–297

Clark, C. J. and Dombrowski, N. 1971 On the formation of drops from the rims of fan spray sheets, J. Aerosol Sci. 3, 173–183

Deane, G. B. and Stokes, M. D. 2002 Scale dependence of bubble creation mechanisms in breaking waves, Nature 418, 839–844

Dijksman, J. F. 1984 Hydrodynamics of small tubular pumps, J. Fluid Mech. 139, 173–191

Dombrowski, N. and Neale, N. D. 1974 Formation of streams of uniform drops from fan spray pressure nozzles, J. Aerosol Sci. 5, 551–555

Donnelly, R. J. and Glaberson, W. 1966 Experiments on the capillary instability of a liquid jet, Proc. R. Soc. A 290, 547–556

Hibling, J. H. and Heister, S. D. 1996 Droplet size control in liquid jet breakup, Phys. Fluids 8, 1574–1581

Longuet-Higgins, M. S., Kerman, B. R., and Lunde, K. 1991 The release of air bubbles from an underwater nozzle, J. Fluid Mech. 230, 365–390

Orme, M. 1991 On the genesis of droplet microspeed dispersions, Phys. Fluids A 3, 2936–2947

Pandit, A. B. and Davidson, A. B. 1990 Hydrodynamics of the rupture of thin liquid films, J. Fluid Mech. 212, 11–24

Philipson, K. 1973 On the production of monodisperse particles with a spinning disc, Aerosol Sci. 4, 51–57

Thorpe, S. A. 1987 Internal waves and whitecaps, Nature 330 740–742

Thorpe, S. A. and Humphries, P. N. 1980 Bubbles and breaking waves, Nature 283, 463–465

Topp, M. N. 1973 Ultrasonic atomization – A photographic study of the mechanism of disintegration, Aerosol Sci. 4, 17–25

Cavitation and sonoluminescence

Barber, B. P. and Putterman, S. J. 1991 Observation of synchronous picosecond sonoluminescence, Nature 352, 318–320

Crum, L. A. 1994 Sonoluminescence, sonochemistry, and sonophysics, J. Acoust. Soc. Amer. 95, 559–562

Didenko, Y. T., McNamara, W. B. III, and Suslik, K. S. 2000 Molecular emission from single-bubble sonoluminescence, Nature 407, 877–879

Didenko, Y. T. and Suslik, K. S. 2002 The energy efficiency of formation of photons, radicals and ions during single-bubble cavitation, Nature 418, 394–397

Flynn, H. G. 1975 Cavitation dynamics. I. A mathematical formulation, J. Acoust. Soc. Amer. 57, 1379–1396

Flynn, H. G. 1975 Cavitation dynamics. II. Free pulsations and models for cavitation bubbles, J. Acoust. Soc. Amer. 58, 1160–1170

Flynn, H. G. and Church, C. C. 1988 Transient pulsations of small gas bubbles in water, J. Acoust. Soc. Amer. 84, 985–998. [Erratum, J. Acoust. Soc. Amer. 84, 1863–1876.]

Löfstedt, R., Barber, B. P., and Putterman, S. J. 1991 Toward a hydrodynamic theory of sonoluminescence, Phys. Fluids A 5, 2911–2927

Neppiras, E. A. 1980 Acoustic cavitation, Phys. Rep. (Review Section of Physics Letters) 61, 159–251

Prosperetti, A. 1986 Physics of acoustic cavitation in Frontiers of Physical Acoustics, Sette, D., Ed., North-Holland, pp. 145–188

Putterman, S. J. 1995 Sonoluminescence: Sound into light. Sci. Amer., 272, 46–51

Suslick, K. S. 1989 The chemical effects of ultrasound, Sci. Amer., 260, 80–86

Evaporation and condensation

Dukowicz, J. K. 1984 Drag of evaporating or condensing droplets in low Reynolds number flow, Phys. Fluids 27, 1351–1358

Goosens, H. W. J., Cleijne, J. W., Smolders, H. J., and Dongen, M. E. 1988 Shock wave induced evaporation of water droplets in a gas-droplet mixture, Exp. Fluids 6, 561–568

Hill, P. E. 1966 Condensation of water vapour during supersonic expansion in nozzles, J. Fluid Mech. 25, 593–620

Marble, F. E. 1969 Some gasdynamics problems in the flow of condensing vapors, Astronaut. Acta 14, 585–614

Marston, P. L. 1979 Evaporation-condensation resonance frequency of oscillating vapor bubbles, J. Acoust. Soc. Amer. 66, 1516–1521

Mouzurkewich, M. 1986 Aerosol growth and the condensation coefficient for water: A review, Aerosol Sci. Technol. 5, 223–236

Okuyama, M. and Zung, J. T. 1967 Evaporation-condensation coefficient for small droplets, J. Chem. Phys. 46, 1580–1585

Heat transfer

Frankiel, N. A. and Acrivos, A. 1968 Heat and mass transfer from small spheres and cylinders freely suspended in shear flow, Phys. Fluids 11, 1913–1918

Michaelides, E. E. and Feng, Z. 1994 Heat transfer from a rigid sphere in a nonuniform flow and temperature field, Int. J. Heat Mass Transfer 37, 2069–2076

Parks, J. M., Ablow, C. M., and Wise, H. 1966 Temperature distribution within a particle during evaporation, AIAA J. 4, 1032–1035

Miscellaneous

Borman, S. and Curtius, J. 2002 Lasing on a cloudy afternoon, Nature 418, 826–827

Ching, B., Golay, M. W., and Johnson, T. J. 1984 Droplet impacts upon liquid surfaces, Science 226, 535–537

Diebold, G. J. and Westervelt, P. J. 1988 The photoacoustic effect generated by a spherical droplet in a fluid, J. Acoust. Soc. Amer. 84, 2245–2251

Dreyfuss, D. and Temkin, S. 1983 Charge separation during rupture of small water drops in transient flows: Shock tube measurements and application to lightning, J. Geophys. Res. 88, 10,993–10,998

Franz, G. J. 1959 Splashes as sources of sound, J. Acoust. Soc. Amer. 31, 1080–1096

Greenspan, M. 1956 Propagation of sound in five monatomic gases, J. Acoust. Soc. Amer. 28, 644–648

Likhterov, L. 1998 High-frequency acoustic noise emitted by initial impact of solid sphere falling onto a liquid surface, Phys. Fluids 10, 321–323

Longuet-Higgins, M. S. 1990 An analytical model of sound production by raindrops, J. Fluid Mech. 214, 395–410

O'Brien, R. W. 1988 Electro-acoustic effects in a dilute suspension of spherical particles, J. Fluid Mech. 190, 71–86

Penner, S. S. and Li, T. 1967 Thermodynamic considerations of droplets and bubbles, AIAA J. 5, 1528–1529

Pumphrey, H. C., Crum, L., and Bjø⊘rnø, L. 1989 Underwater sound produced by individual drop impacts and rainfall, J. Acoust. Soc. Amer. 85, 1518–1526

Richard, D., Clanet, C., and Quére, D. 2002 Contact time of a bouncing drop, Nature 417, 811

Roy, R., Davidson, J. F., and Tuponogov, V. G. 1990 The velocity of sound in fluidized beds, Chem. Eng. Sci. 45, 3233–3245

Shafer, N. E. and Zare, R. N. 1991 Through a beer glass darkly, Phys. Today 44, 48–52

Shirley, B. M., Sheldon, J. W., and Kranc, S. C. 1972 Particle charging behind shock waves in suspensions, AIAA J. 10, 1110–1111

Model equations

Biesheuvel, A. and Wijngaarden, L. 1984 Two-phase equations for a dilute dispersion of gas bubbles in a liquid, J. Fluid Mech. 148, 301–318

Bilicki, Z. and Kestin, J. 1990 Physical aspects of the relaxation model in two-phase flows, Proc. R. Soc. Lond. A 428, 379–397

Caflisch, R. E., Miksis, M. J., Papanicolaou, G. C., and Ting, L. 1985 Effective equations for wave propagation in bubbly liquids, J. Fluid Mech. 153, 259–273

Drumheller, D. S. and Bedford, A. 1979 A theory of bubbly liquids, J. Acoust. Soc. Amer. 66, 197–208

Drumheller, D. S. and Bedford, A. 1980 A theory of liquids with vapor bubbles, J. Acoust. Soc. Amer. 67, 186–200

Kraiko, A. N. and Sternin, L. E. 1965 Theory of flows of a two velocity continuous medium containing solid or liquid particles, Prikladnaia Matematika ⅰ Mekhanica 29, 418–429

Marble, F. E. 1963 Dynamics of a gas containing small solid particles, in Proceedings of the 5th AGARD Colloquim on Combustion and Propulsion, Braunschweig, Pergamon, pp. 175–215

Miksis, M. J. and Ting, L. 1992 Effective equations of multiphase flows – Waves in a bubbly liquid, Adv. Appl. Mech. 28, 141–261

Nigmatulin, R. I. 1982 Mathematical modeling of bubbly liquid motion and hydrodynamical effects in wave propagation phenomenon, Appl. Sci. Res. 38, 267–289

O'Brien, R. W. 1990 The electroacoustic equations for a colloidal suspension, J. Fluid Mech. 212, 81–93

Panton, R. 1968 Flow properties for the continuum viewpoint of a non-equilibrium gas-particle mixture, J. Fluid Mech. 31, 273–303

Wijngaarden, L.. 1968 On the equations of motion for mixtures of liquid and gas bubbles, J. Fluid Mech. 33, 465–474

Wijngaarden, L. van. 1976 Some problems in the formulation of the equations for gas/liquid flows, in Theoretical and Applied Mechanics, Proceedings of the 14th IUTAM Congress, Delft, The Netherlands, Koiter, W. T., Ed., North-Holland., pp. 249–260

Yurkovetsky, Y. and Brady, J. F. 1996 Statistical mechanics of bubbly liquids, Phys. Fluids 8, 881–895

Zhang, D. Z. and Prosperetti, A. 1994 Ensemble phase-averaged equations for bubbly flows, Phys. Fluids 6, 2956–2970

Numerical methods

Chang, E. R. and Martin, M. R. 1994 Unsteady flow about a sphere at low to moderate Reynolds number. Part 1. Oscillatory motion, J. Fluid Mech. 277, 347–379

Crowe, C. T. 1982 Numerical models for dilute gas-particle flows, J. Fluids Eng. 104, 297–303

Ishii, R., Umeda, Y., and Yuhi, M. 1989 Numerical analysis of gas-particle two-phase flows, J. Fluid Mech. 203, 475–515

Kamath, V. and Prosperetti, A. 1989 Numerical integration methods in gas-bubble dynamics, J. Acoust. Soc. Amer. 85, 1538–1548

Particle interactions

Batchelor, G. K. and Green, J. T. 1972 The hydrodynamic interaction of two small freely-moving spheres in a linear flow field, J. Fluid Mech. 56, 375–400

Brady, J. F., Phillips, R. J., Lester, J.C, and Bossis, G. 1988 Dynamic simulation of hydrodynamically interacting suspensions, J. Fluid Mech. 195, 257–280

Ecker, G. 1985 Interactions of droplet pairs in weak shock-wave induced unsteady flows. Ph.D. thesis, Rutgers University

Goren, S. 1983 Resistance and stability of a line of particles moving near a wall, J. Fluid Mech. 132, 185–196

Haber, S. G., Hetsroni, G., and Solan, A. 1973 On the low Reynolds number motion of two droplets, Int. J. Multiphase Flow 1, 57–71

Kaneda, Y. and Ishii, K. 1982 The hydrodynamic interaction of two spheres moving in an unbounded fluid at small but finite Reynolds number, J. Fluid Mech. 124, 209–217

Mazur, P. and Saarloos, W.. 1982 Many-sphere interactions and mobilities in a suspension, Phys. A 115, 21–57

Mazur, P. and Saarloos, W.. 1983 Many-sphere hydrodynamic interactions. II. Mobilities at finite frequency, Phys. A 120 77–102

Steinberger, E. H., Pruppacher, H. R., and Neiburger, M. 1968 On the hydrodynamics of pairs of spheres falling along their line of centers in a viscous medium, J. Fluid Mech. 34, 809–819

Stimson, M. and Jeffrey, G. B. 1926 The motion of two spheres in a viscous fluid, Proc. R. Soc. Lond. A 111, 110–116

Tam, C. K. W. 1969 The drag on a cloud of spherical particles in low Reynolds number flow, J. Fluid Mech. 38, 537–546

Temkin, S. and G.Ecker, G. Z. 1989 Droplet interactions in a shock-wave flow field, J. Fluid Mech. 202, 467–497

Wijngaarden, L.. 1976 Hydrodynamic interaction between gas bubbles in liquid (with an appendix by D. J. Jeffrey), J. Fluid Mech. 77, 27–44, 1976

Sedimentation

Auzerais, F. M., Jackson, R., Russel, W. B., and Murphy, W. F. 1990 The transient settling of stable and flocculated dispersions, J. Fluid Mech. 221, 613–639

Batchelor, G. K. 1972 Sedimentation in a dilute dispersion of spheres, J. Fluid Mech. 52, 245–268

Brady, J. F. and Durlofsky, L. J. 1988 The sedimentation rate of disordered suspensions, Phys. Fluids 31, 717–727

Haber, S. and Hetsroni, G. 1981 Sedimentation in a dilute dispersion of small drops of various sizes, J. Colloid Interface Sci. 79, 56–75

Hanratty, T. J. and Bandukwala, A. 1957 Fluidization and sedimentation of spherical particles, AICh E J. 3, 293–296

Single-particle motions

Translational

Alexeev, A. and Gutfinger, C. 2003 Particle drift in a resonance tube – A numerical study, J. Acoust. Soc. Amer. 114, 1357–1365

Boyadzhiev, L. 1973 On the movement of a spherical particle in a vertically oscillating liquid, J. Fluid Mech. 57, 545–548

Burrows, F. M. 1983 Calculation of the primary trajectories of seeds and other particles in strong winds, Proc. R. Soc. Lond. A 389, 15–66

Chester, W. and Breach, D. R. (with an appendix by I. Proudman) 1969 On the flow past a sphere at low Reynolds number. J. Fluid Mech. 37, 751–760

Corrsin, S. and Lumley, J. 1956 On the equation of motion for a particle in turbulent fluid, Appl. Sci. Res. Sec. A, 6, 114–116

Danilov, S. D. and Mirnov, M. A. 2000 Mean force on a small sphere in a sound field in a viscous fluid, J. Acoust. Soc. Amer. 107, 143–153

Galindo, V. and Gerbeth, G. 1993 A note on the force on an accelerating spherical drop at low Reynolds number, Phys. Fluids A 5, 3290–3292

Goldstein, S. 1929 The steady flow of viscous fluid past a fixed spherical obstacle at small Reynolds numbers, Proc. R. Soc. A 123, 216–235

Gucker, F. T. and Doyle, G. J. 1956 The amplitude of aerosol droplets in a sonic field, J. Phys. Chem. 60, 989–996, 1956

Hoenig, S. A. 1957 Acceleration of dust particles by shock waves, J. Appl. Phys. 28, 1218–1219

Ingebo, R. D. 1956 Drag coefficients for droplets and solid spheres in clouds accelerating in air streams, NACA Technical Note TN 3762

Ishii, R. 1984 Motion of small particles in a gas flow, Phys. Fluids 27, 33–41

Kang, I. S. and Leal, L. G. 1988 The drag coefficient for a spherical bubble in a uniform streaming flow, Phys. Fluids 31, 233–241

Kanwal, R. P. 1964 Drag on an axially symmetric body vibrating slowly along its axis in a viscous fluid, J. Fluid Mech. 19, 631–636

Karanfilian, S. K. and Kotas, T. J. 1978 Drag on a sphere in unsteady motion in a liquid at rest, J. Fluid Mech. 87, 85–96

Kim, S. S. 1977 An experimental study of droplet reponse to weak shock waves. Ph.D. thesis, Rutgers University

Legendre, D. and Magnaudet, J. 1997 A note on the lift force on a spherical bubble or drop in a low Reynolds number shear flow, Phys. Fluids 9, 3572–3574

Liu, D. Y., Anders, K., and Frohn, A. 1988 Drag coefficients of single droplets moving in an infinite droplet chain on the axis of a tube, Int. J. Multiphase Flow 14, 217–232

Lovalenti, P. M. and Brady, J. 1993 The force on a bubble, drop, or particle in arbitrary time-dependent motion at small Reynolds number, Phys. Fluids A 5, 2104–2116

Magnaudet, J., Rivero, M., and Fabre, J. 1995 Accelerated flows past a rigid sphere of a spherical bubble. Part 1. Steady straining flow, J. Fluid Mech. 284, 97–135

Maxey, M. R. and Riley, J. J. 1983 Equations of motion for a small rigid sphere in nonuniform flow, Phys. Fluids 26, 883–889

Maxworthy, T. 1965 Accurate measurements of sphere drag at low Reynolds numbers, J. Fluid Mech. 23, 369–372

Mei, R., Klausner, J. F., and Lawrence, C. J. 1994 A note on the history force on spherical bubble at finite Reynolds number, Phys. Fluids 6, 418–420

Mei, R., Lawrence, C. J., and Adrian, R. J. 1991 Unsteady drag on a sphere at finite Reynolds number with small fluctuations in the free-stream velocity, J. Fluid Mech. 233, 613–631

Morsi, S. A. and Alexander, A. J. 1972 An investigation of particle trajectories in two-phase flow systems, J. Fluid Mech. 55, 193–208

Ockendon, J. R. 1968 The unsteady motion of a small sphere in a viscous fluid, J. Fluid Mech. 34, 229–239

Odar, F. 1966 Verification of the proposed equation for calculation of the forces on a sphere accelerating in a viscous fluid, J. Fluid Mech. 25, 591–592

Odar, F. and Hamilton, W. S. 1964 Forces on a sphere accelerating in a viscous fluid, J. Fluid Mech. 18, 302–314

Ogden, T. L. and Jayaweera, K. O. L. F. 1971 Drag coefficients of water droplets decelerating in air, Q. R. Met. Soc. 97, 571–574

Pearcey, T. and Hill, G. W. 1956 The accelerated motion of droplets and bubbles, Austr. J. Phys. 9, 19–30

Proudman, I. and Pearson, R. R. A. 1957 Expansions at small Reynolds numbers for the flow past a sphere and circular cylinder, J. Fluid Mech. 2, 237–262

Rallison, J. M.Note on the Faxen relations for a particle in Stokes flow, J. Fluid Mech. 88, 529–533, 1978

Rudinger, G. 1974 Penetration of particles into a constant cross flow, AIAA J. 12, 1138–1140

Sano, T. 1981 Unsteady flow past a sphere at low Reynolds number, J. Fluid Mech. 112, 433–441

Selberg, B. P. and Nicholls, J. A. 1968 Drag coefficient of small spehrical particles, AIAA J. 6, 401–408

Taylor, K. J. 1976 Absolute measurement of acoustic particle velocity, J. Acoust. Soc. Amer. 59, 691–694

Temkin, S. 1972 On the response of a sphere to an acoustic pulse, J. Fluid Mech. 54, 339–349

Temkin, S. 1993 Particle force and heat transfer in a dusty gas sustaining an acoustic wave, Phys. Fluids 5, 1296–1304

Temkin, S. and Kim, S. S. 1980 Droplet motion induced by weak shock waves, J. Fluid Mech. 96, 133–157

Temkin, S. and Leung, C.-M. 1976 On the velocity of a rigid sphere in a sound wave, J. Sound Vib., 49, 75–92

Temkin, S. and Mehta, H. K. 1982 Droplet drag in an accelerating and decelerating flow, J. Fluid Mech. 116, 297–313

Thomas, P. J. 1992 On the influence of the Basset history force on the motion of a particle through a fluid, Phys. Fluids A 4, 2090–2093

Vainshtein, P., Fichman, M., and Pnueli, D. 1992 On the drift of aerosol particles in sonic fields, J. Aerosol Sci. 23, 631–637

Pulsational

Crum, L. A. 1983 The polytropic exponent of gas contained within air bubbles pulsating in a liquid, J. Acoust. Soc. Amer. 73, 116–120

Crum, L. A. and Prosperetti, A. 1983 Nonlinear oscillations of gas bubbles in liquids: An interpretation of some experimental results, J. Acoust. Soc. Amer. 73, 121–127

Devin, C. Jr., 1959 Survey of thermal, radiation, and viscous damping of pulsating air-bubbles in water, J. Acoust. Soc. Amer. 31, 1654–1667

Exner, M. L. and Hampe, W. 1953 Experimental determination of the damping of pulsating air bubbles in water, Acustica 3, 67–72

Kennard, E. H. 1943 Radial motion of water surrounding a sphere of gas in relation to pressure waves, in Underwater Explosion Research, Vol. II. The Gas Globe, Office of Naval Research

Lauterborn, W. 1976 Numerical investigation of nonlinear oscillations of gas bubbles in liquids, J. Acoust. Soc. Amer. 59, 283–293

Meyer, E. and Skudrzyk, E. 1953 Über die akustischen eigenschaften von gasblasenschleiern in wasser, Acustica 3, 435–440

Minnaert, M. 1933 On musical air bubbles and the sounds of running water, Phil. Mag. XVI (7th Series), 235–248

Prosperetti, A. 1977 Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids, J. Acoust. Soc. Amer. 61, 17–27

Prosperetti, A. 1987 The equation of bubble dynamics in a compressible liquid, Phys. Fluids 30, 3626–3628

Prosperetti, A. 1988 Nonlinear bubble dynamics, J. Acoust. Soc. Amer. 83, 502–514

Prosperetti, A. 1991 The thermal behaviour of oscillating gas bubbles, J. Fluid Mech. 222, 587–616

Prosperetti, A. and Lezzi, A. 1986 Bubble dynamics in a compressible liquid. Part 1. First-order theory, J. Fluid Mech. 168, 457–478

Prosperetti, A. and Lezzi, A. 1987 Bubble dynamics in a compressible liquid. Part 2. Second-order theory, J. Fluid Mech. 185, 289–321

Schiffers, W. P., Emmony, D. C., and Shaw, S. J. 1997 Visualization of the fluid flow around a laser generated oscillating bubble, Phys. Fluids 9, 3201–3208

Strasberg, M. 1956 Gas bubbles as sources of sound in liquids, J. Acoust. Soc. Amer. 28, 20–26

Temkin, S. 1999 Radial pulsations of a fluid particle in a sound wave, J. Fluid. Mech. 380, 1–38

Temkin, S. 2001b Corrigendum: Radial pulsations of a fluid sphere in a sound wave, J. Fluid. Mech. 430, 407–410

Rotational

Lee, C. P., Lyell, M. J., and Wang, T.G 1985 Viscous damping of the oscillations of a rotating simple drop, Phys. Fluids 28, 3187–3188

Rubinow, S. I. and Keller, J. B. 1961 The transverse force on a spinning sphere in a viscous fluid, J. Fluid Mech. 11, 447–459

Shape deformations

Chiu, H. H. 1970 Dynamics of deformation of liquid drops, Astronautica Acta 15, 199–213

Cox, R. G. 1969 The deformation of a drop in a general time-dependent fluid flow, J. Fluid Mech. 37, 601–623

Lundgren, T. S. and Mansour, N. N. 1988 Oscillations of drops in zero gravity with weak viscous effects, J. Fluid Mech. 194, 479–510

Marston, P. L. 1980 Shape oscillations and static deformation of drops and bubbles driven by modulated radiation stresses – Theory, J. Acoust. Soc. Amer. 67, 15–26

Coupled-mode motions

Faxen, H. 1921 Einwirkung der Gefäßwände auf den Widerstend gegen die Bewegung einer kleinen Kugel in einer Zähen Flussigkeit. Diss. Upsala. (See Oseen, 1927, Section 9.)

Williams, Ffowcs J. E. and Guo, Y. P. 1991 On resonant non-linear bubble oscillations, J. Fluid Mech. 224, 507–529

Longuet-Higgins, M. S. 1989 Monopole emission of sound by asymmetric bubble oscillations. Part 1. Normal modes, J. Fluid Mech. 201, 525–541

Longuet-Higgins, M. S. 1989 Monopole emission of sound by asymmetric bubble oscillations. Part 2. An initial-value problem, J. Fluid Mech. 201, 543–565

Longuet-Higgins, M. S. 1991 Resonance in nonlinear bubble oscillations, J. Fluid Mech. 224, 531–549

Magnaudet, J. and Legendre, D. 1998 The viscous drag force on a spherical bubble with a time-dependent radius, Phys. Fluids 10, 550–554

Watanabe, T. and Kukita, Y. 1993 Translational and radial motions of a bubble in an acoustic standing wave field, Phys. Fluids A 5, 2682–2688

Size distributions

Brazier, R., Sparks, R. S. J., Carey, S. N., Sigurdsson, H., and Westgate, J. A. 1983 Bimodal grain size distribution and secondary thickening in air-fall ash layers, Nature 301, 115–119

Gelbard, F., Tambour, Y., and Seinfeld, J. H.Sectional representation for simulating aerosol dynamics, J. Colloid Interface Sci. 76, 541–556, 1980

Jaenicke, R. and Davies, C. N. 1976 The mathematical expression of the size distribution of atmospheric aerosols, J. Aerosol Sci. 7, 255–259

Lee, R. E. Jr., 1972 The size of suspended particulate matter in air, Science 178, 567–575

Mugele, R. A. and Evans, H. D. 1951 Droplet size distribution in sprays, Indust. Eng. Chem., 43, 1317–1324

Smith, J. E. and Jordan, M. L. 1964 Mathematical and graphical interpretation of the log-normal law for particle size distribution analysis, J. Colloid Sci., 19, 549–559, 1964

Weickmann, H. K. and Kampe, Aufm H. J. 1953 Physical properties of cumulus clouds, J. Met. 10, 204. [See Mason, B. K., The Physics of Clouds, pp. 98–103.]

Size measurement techniques

Davis, M. C. 1978 Coal slurry diagnostics by ultrasound transmission, J. Acoust. Soc. Amer. 64, 406–410

Dobbins, R. A. 1963 Measurement of mean particle size in a gas-particle flow, AIAA J. 1, 1940–1942

Dobbins, R. A., Crocco, L., and Glassman, I. 1963 Measurement of mean particle sizes in sprays from diffractively scattered light, AIAA J. 1, 1882–1886

Dobbins, R. A. and Temkin, S. 1967 Acoustical measurements of aerosol particle size and concentration, J. Colloid Interface Sci. 25, 329–333

Dukhin, A. S. and Goetz, P. 2001 Acoustic and electroacoustic spectroscopy for characterizing concentrated dispersions and emulsions, Adv. Colloid Interface Sci. 92, 73–132

Duraiswami, R., Prabhukumar, S., and Chahine, G. L. 1998 Bubble counting using an inverse acoustic scattering method, J. Acoust. Soc. Amer. 104, 2699–2717

König, G.Anders, K. and Frohn, A. 1986 A new light-scattering technique to measure the diameter of periodically generated moving droplets, J. Aerosol Sci. 17, 157–167

Medwin, H. 1970 In-situ acoustic measurements of bubble populations in coastal waters, J. Geophys. Res. 75, 599–611

Medwin, H. 1977 Acoustical determinations of bubble-size spectra, J. Acoust. Soc. Amer. 62, 1041–1044

Newhouse, V. L. and Shankar, P. M. 1984 Bubble size measurements using the nonlinear mixing of two frequencies, J. Acoust. Soc. Amer. 75, 1473–1477

Temkin, S. and Reichman, J.M 1972 A new technique to photograph small particles in motion, Rev. Sci. Instr. 43, 1456–1459

Stokeslets and other singularities

Jeffrey, D. J. 1992 The calculation of the low Reynolds number resistance functions for two unequal spheres, Phys. Fluids A 4, 16–29

Kim, S. and Mifflin, R. T. 1985 The resistance and mobility functions of two equal spheres in low-Reynolds-number flow, Phys. Fluids 28, 2033–2045

Maul, C. and Kim, S. 1994 Image systems for a Stokeslet inside a rigid spherical container, Phys. Fluids 6, 2221–2223

Pozrikidis, C. 1989 A singularity method for unsteady linearized flow, Phys. Fluids A 1, 1508–1520

Suspension motions (nonacoustic)

Aerosols (dusty gases)

Buresti, G. and Casarosa, C. 1989 One dimensional adiabatic flow of equilibrium gas-particle mixtures in long vertical ducts with friction, J. Fluid Mech. 203, 251–272

Carrier, G. F. 1958 Shock waves in a dusty gas, J. Fluid Mech. 4, 376–382

Hamad, H. and Frohn, A. 1980 Structure of fully dispersed waves in dusty gases, J. Appl. Math. Phys. (ZAMP) 31, 66–82

Healy, J. V. and Yang, H. T. 1972 The Stokes problems for a suspension of particles, Astronautica Acta 17, 851–856

Ishii, R., Hatta, N., Umeda, Y., and Yuhi, M. 1990 Supersonic gas-particle two-phase flow around a sphere, J. Fluid Mech. 221, 453–483, 1990

Ishii, R. and Umeda, Y. 1987 Nozzle flows of gas-particle mixtures, Phys. Fluids 30, 752–760, 1987

Liu, J. T. C. 1965 On the hydrodynamic stability of parallel dusty gas flow, Phys. Fluids 8, 1939–1945

Liu, J. T. C. 1967 Flow induced by the impulsive motion of an infinite flat plate in a dusty gas, Astronautica Acta, 13, 369–377

Miura, H. and Glass, I. I. 1982 On a dusty-gas shock tube, Proc. R. Soc. Lond. A 382, 373–388

Miura, H. and Glass, I. I. 1983 On the passage of a shock wave through a dusty-gas layer, Proc. R. Soc. Lond. A 385, 85–105

Murray, J. D. 1967 Some basic aspects of one-dimensional incompressible particle-fluid two-phase flows, Astronautica Acta 13, 417–430

Neilson, J. H. and Gilchrist, A. 1968 An analytical and experimental investigation of the velocities of particles entrained by the gas flow in nozzles, J. Fluid Mech. 33, 131–149

Rudinger, G. 1964 Some properties of shock relaxation in gas flows carrying small particles, Phys. Fluids 7, 658–663

Rudinger, G. 1965 Some effects of finite particle volume on the dynamics of gas-particle mixtures, AIAA J. 3, 1217–1222

Rudinger, G. 1969 Relaxation in gas-particle flows, in Nonequilibrium Flows, Wegner, P., Ed., Marcel Dekker pp. 119–161

Rudinger, G. 1970 Gas-particle flow in convergent nozzles at high loading ratio, AIAA J. 8, 1288–1294

Rudinger, G. and Chang, A. 1964 Analysis of nonsteady two-phase flow, Phys. Fluids 7, 1747–1754

Saffman, P. G. 1962 On the stability of laminar flow of a dusty gas, J. Fluid Mech. 13, 120–128

Sauerwein, H. and Fendell, F. E. 1965 Method of characteristics in two-phase flow, Phys. Fluids 8, 1564–1565

Schubert, Schmitt-von B. 1969 Existence and uniqueness of normal shock waves in gas-particle mixtures, J. Fluid Mech. 38, 633–655

Tomita, Y., Tashio, H., Deguchi, K., and Jotaki, T. 1980 Sudden expansion of gas-solid two-phase flow in a pipe, Phys. Fluids 23, 663–666

Bubbly liquids

Hsieh, D.-Y.Some aspects of dynamics of bubbly liquids, Appl. Sci. Res. 38, 305–312, 1982

Ishii, R., Umeda, Y., Murata, S., and Shishido, N. 1993 Bubbly flows through a converging-diverging nozzle, Phys. Fluids A 5, 1630–1643

Kameda, M. and Matsumoto, Y. 1996 Shock waves in a liquid containing small gas bubbles, Phys. Fluids 8, 322–335

Kennard, E. H. 1941 Report on Underwater Explosions, David W. Taylor Model Basin, pp. 1–51

Omta, R. 1987 Oscillations of a cloud of bubbles of small and not so small amplitude, J. Acoust. Soc. Amer. 82, 1018–1033

Wijngaarden, L.. On the structure of shock waves in liquid-bubble mixtures, Appl. Sci. Res. 22, 366–381

Wijngaarden, L. and Kapteyn, C. 1990 Concentration waves in dilute bubble/liquid mixtures, J. Fluid Mech. 212, 111–137

Transport properties

Batchelor, G. K. and Green, J. T. 1972 The determination of the bulk stress in a suspension of spherical particles to order c2, J. Fluid Mech. 56, 401–427

Beenakker, C. W. J. 1984 The effective viscosity of a concentrated suspension of spheres (and its relation to diffusion), Phys. A 128, 48–81

Biesheuvel, A. and Spoelstra, S. 1989 The added mass coefficient of a dispersion of spherical gas bubbles in a liquid, Int. J. Multiphase Flow 15, 911–924

O'Brien, R. W. 1979 A method for the calculation of the effective transport properties of suspensions of interacting particles, J. Fluid Mech. 91, 17–39

Taylor, G. I. 1954 The two coefficients of viscosity for a liquid containing air bubbles, Proc. R. Soc. Lond. A 226, 34–39

Suspension Acoustics

An Introduction to the Physics of Suspensions

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Contents

Frontmatter
pp i-iv

Contents
pp v-x

List of Figures and Tables
pp xi-xv

Preface
pp xvi-xviii

1 - Preliminaries
pp 1-14

2 - Conservation Equations
pp 15-36

3 - Rigid-Particle Heat Transfer at Re ≪ 1
pp 37-60

4 - Translational Motion at Re ≪ 1
pp 61-129

5 - Shape Deformations
pp 130-144

6 - Volume Pulsations
pp 145-196

7 - Thermodynamics of Suspensions
pp 197-216

8 - The Two-Phase Model
pp 217-266

9 - Sound Propagation in Suspensions
pp 267-317

10 - Applications and Extensions
pp 318-358

Appendix A - Material and Transport Properties of Some Substances at 1 atm and 20°C
pp 359-359

Appendix B - Useful Formulas from Vector Analysis
pp 360-361

Appendix C - Explicit Expressions for Some Quantities in Spherical Polar Coordinates
pp 362-363

Appendix D - Some Properties of the Spherical Bessel Functions
pp 364-365

Appendix E - Legendre Polynomials
pp 366-366

Bibliography
pp 367-383

Author Index
pp 384-388

Subject Index
pp 389-392

Symbol Index
pp 393-398

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