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CONTENTS Preface I. Preliminaries 1.1 Introduction 1.2 Types of suspensions 1.3 Particle concentrations Particle size distributions Volume concentration Mass concentration Mass and volume loadings Suspension density 1.4 Interparticle separations II. Conservation equations 2.1 Introduction Equations of motion Boundary conditions 2.2 Small particles Volume averages Kinematic considerations 2.3 Conservation equations for small particles Mass Linear momentum Angular momentum Uniform expansion/compression Associated energies 2.4 Internal Energy 2.5 Energy dissipation Determination of damping coefficient 2.6 Non-dimensional parameters 2.7 Motion at Re 0 III. Rigid particle heat transfer at Re<<1 3.1 Introduction 3.2 Harmonic particle temperature variations Heat transfer rate Low frequencies Thermal relaxation time 3.3 Particle in oscillatory temperature field Unsteady heat transfer rate 3.4 Arbitrary time dependence Sudden temperature change 3.5 Non-uniform particle temperature The function G(qi) IV. Translational motion at Re<<1 4.1 Introduction 4.2 Translational oscillations Fluid pressure Fluid force on sphere Decay of oscillations 4.3 Stokes law 4.4 Slowly-changing motions Sphere in oscillating fluid Terminal velocity 4.5 Extensions to Stokes' law Very small particles Spherical bubbles and droplets Non-uniform flows Non-spherical particles Small but finite Reynolds numbers Lift force Empirical forms at finite Re 4.6 Curvilinear motion at finite Re 4.7 The stokeslet Distributions of stokeslets 4.8 Unsteady effects at Re <<1 Sphere in oscillatory fluid 4.9 The B-B-O equation Sphere accelerating in Stokes flow 4.10 Unsteady drag at finite Re Experimental results 4.11 Sphere in a sound wave Inviscid fluid Viscous, compressible fluid Absorption cross section 4.12 Some effects of particle interactions Very small Reynolds numbers Finite Reynolds numbers V. Shape deformations 5.1 Introduction 5.2 Energy considerations Equilibrium pressure in a droplet or bubble 5.3 Surface vibrations of a small droplet 5.4 Breakup of liquid surfaces VI. Volume pulsations 6.1 Introduction 6.2 Motion produced by pulsating sphere Incompressible fluid Rayleigh's equation The Rayleigh-Plesset equation Compressible fluid 6.3 Force on pulsating sphere 6.4 Internal fields Uniform density Non-uniform fields 6.5 Surface motion Damping coefficients Driven pulsations 6.6 Thermal effects Particle temperature Particle pressure The polytropic index Surface displacement Bubbles and droplets in liquids Aerosol and hydrosol particles 6.7 Energy considerations Thermal dissipation rate Absorption cross sections Thermodynamics of a bubble cycle VII. Thermodynamics of suspensions 7.1 Introduction 7.2 Equilibrium 7.3 Thermodynamic properties 7.4 Isentropic sound speed 7.5 Equations of state VIII. The two phase model 8.1 Introduction 8.2 Conservation equations Conservation of mass Linear momentum Internal energy Equations of state Particulate pressure 8.3 System of equations 8.4 Force and heat transfer rate 8.5 Near equilibrium flow 8.6 Isothermal sound propagation in an aerosol 8.7 Isothermal sound propagation in a bubbly liquid 8.8 Thermal effects in emulsions and aerosols 8.9 Flow of a dusty gas across a shock wave The normal shock in a dusty gas Two phase equations for steady motion Conditions immediately after of the shock Equilibrium state downstream of the shock Remarks about the non-equilibrium region IX. Sound propagation in suspensions 9.1 Introduction 9.2 Propagation in a fluid without particles 9.3 Attenuation coefficient Translational attenuation Pulsational attenuation Total attenuation 9.4 Propagation via sound emission Wave equation with sources of mass, force, and heat Complex wavenumber Small attenuation Finite attenuation Experimental results 9.5 Propagation via compressibility Dynamic compressibility Translational contribution Pulsational contribution Total changes 9.6 Propagation via causality The Kramers-Kronig relations The K-K relations in suspension acoustics Propagation in an aerosol X. Applications and extensions 10.1 Introduction 10.2 Reflection at a fluid-suspension interface Equilibrium conditions Non-equilibrium 10.3 Extension to polydisperse suspensions 10.4 Suspension characterization Volume concentration Particle size Size distributions 10.5 Acoustical coalescence The coagulation equations Smoluchowski's solution Collision kernel for rectilinear motions Non-dimensional equations Acoustic agglomeration of aerosols Bibliography Books A. Basic Physics and Mathematics B. Particles and Suspensions Articles Review articles Research articles Appendices A. Material properties B. Useful formulas from vector analysis C. Explicit expressions for some vector and tensor quantities in spherical- polar coordinates D. Some properties of the spherical Bessel functions E. Legendre polynomials Indices Author index Subject undex Symbol index
Library of Congress Subject Headings for this publication:
Suspensions (Chemistry).
Molecular acoustics.