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New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai: World Scientific Publ., 2006 – 425 p. — ISBN 981-256-647-3, ISBN 981-256-648-1.The field of multiphase flows has grown by leaps and bounds in the last thirty years and is now regarded as a major discipline. Engineering applications, products and processes with particles, bubbles and drops have consistently grown in number and importance. An increasing number of conferences, scientific fora and archived journals are dedicated to the dissemination of information on flow, heat and mass transfer of fluids with particles, bubbles and drops. Numerical computations and "thought experiments" have supplemented most physical experiments and a great deal of the product design and testing processes. The literature on computational fluid dynamics with particles, bubbles and drops has grown at an exponential rate, giving rise to new results, theories and better understanding of the transport processes with particles, bubbles and drops. This book captures and summarizes all these advances in a unified, succinct and pedagogical way. Contents: Fundamental Equations and Characteristics of Particles, Bubbles and Drops; Low Reynolds Number Flows; High Reynolds Number Flows; Non-Spherical Particles, Bubbles and Drops; Effects of Rotation, Shear and Boundaries; Effects of Turbulence; Electro-Kinetic, Thermo-Kinetic and Porosity Effects; Effects of Higher Concentration and Collisions; Molecular and Statistical Modeling; Numerical Methods-CFD. Key Features Summarizes the recent important results in the theory of transport processes of fluids with particles, bubbles and drops Presents the results in a unified and succinct way Contains more than 600 references where an interested reader may find details of the results Makes connections from all theories and results to physical and engineering applications Readership: Researchers, practicing engineers and physicists that deal with any aspects of Multiphase Flows. It will also be of interest to academics and researchers in the general fields of mechanical and chemical engineering.Preface

** Introduction**

Historical background

Forces exerted by a fluid and the equation of motion

Heat transfer

Terminology and nomenclature

Common terms and definitions

Nomenclature

Latin symbols

Greek symbols

Subscripts

Superscripts

Common abbreviations

Dimensionless numbers (Lch=2a)

Examples of applications in science and technology

Oil and gas pipelines

Geothermal wells

Steam generation in boilers and burners

Sediment flow

Steam condensation

Petroleum refining

Spray drying

Pneumatic conveying

Fluidized beds

** Fundamental equations and characteristics of particles, bubbles and drops**

Fundamental equations of acontinuum

The concept of a material continuum - basic assumptions

Fundamental equations in integral form

Fundamental equations in differential form

Generalized form of the fundamental equations

Conservation equations at the interfaces -jump conditions

Conservation equations for a single particle, bubble or drop

Characteristics of particles, bubbles and drops

Shapes of solid particles

Symmetric particles

Asymmetric or irregular particles

Shapes of bubbles and drops in motion - shape maps

Discrete and continuous size distributions

Useful parameters in discrete size distributions

Continuous size distributions

Drop distribution functions

**Low Reynolds number flows**

Conservation equations

Heat-mass transfer analogy

Mass, momentum and heat transfer - Transport coefficients

Steady motion and heat/mass transfer at creeping flow

Transient, creeping flow motion

Notes on the history term

Hydrodynamic force on a viscous sphere

Equation of motion with interfacial slip

Transient motion of an expanding or collapsing bubble

Transient heat/mass transfer at creeping flow

Hydrodynamic force and heat transfer for a spheroid at creeping flow

Steady motion and heat/mass transfer at small Re and Pe

Transient hydrodynamic force at small Re

Transient heat/mass transfer at small Pe

**High Reynolds number flows**

Flow fields around rigid and fluid spheres

Flow around rigid spheres

Flow inside and around viscous spheres

Steady hydrodynamic force and heat transfer

Drag on rigid spheres

Heat transfer from rigid spheres

Radiation effects

Drag on viscous spheres

Heat transfer from viscous spheres

Drag on viscous spheres with mass transfer - Blowing effects

Heat transfer from viscous spheres with mass transfer - Blowing effects

Effects of compressibility and rarefaction

Transient hydrodynamic force

Transient heat transfer

Transient temperature measurements

**Non-spherical particles, bubbles and drops**

Transport coefficients of rigid particles at low Re

Hydrodynamic force and drag coefficients

Heat and mass transfer coefficients

Hydrodynamic force for rigid particles at high Re

Drag coefficients for disks and spheroids

Drag coefficients and flow patterns around cylinders

Drag coefficients of irregular particles

Heat transfer for rigid particles at high Re

Heat transfer coefficients for disks and spheroids

Heat transfer coefficients for cylinders

Heat transfer coefficients for irregular particles

Non-spherical bubbles and drops

Drag coefficients

Heat transfer coefficients

**Effects of rotation, shear and boundaries**

Effects of relative rotation

Effects of flow shear

Effects of boundaries

Main flow perpendicular to the boundary

Main flow parallel to the boundary

Equilibrium positions of spheres above horizontal boundaries

Constrained motion in an enclosure

Rigid spheres

Viscous spheres

Immersed objects at off-center positions

Taylor bubbles

Effects of enclosures on the heat and mass transfer

Effects of boundaries on bubble and drop deformation

A note on the lift force in transient flows

**Effects of turbulence**

Effects of free stream turbulence

Turbulence modulation

Drag reduction

Turbulence models for immersed objects

The trajectory model

The Monte-Carlo method

The two-fluid model

Heat transfer in pipelines with particulates

Turbophoresis and wall deposition

Turbulence and coalescence of viscous spheres

**Electro-kinetic, thermo-kinetic and porosity effects**

Electrophoresis

Electrophoretic motion

Electro-osmosis

Effects of the double layer on the electrophoretic motion

Electrophoresis in capillaries-microelectrophoresis

Brownian motion

Thermophoresis

Cicle interactions and wall effects in thermophoresis

Thermophoresis in turbulent flows

Porous particles

Surface boundary conditions

Drag force on a porous sphere at low Re

Heat transfer from porous particles

Mass transfer from an object inside a porous medium

**Effects of higher concentration and collisions**

Interactions between dispersed objects

Hydrodynamic interactions

Thermal interactions and phase change

Effects of concentration

Effects on the hydrodynamic force

Effects on the heat transfer

Bubble columns

Collisions of spheres

Hard sphere model

Soft-sphere model

Drop collisions and coalescence

Collisions with a wall - Mechanical effects

Heat transfer during wall collisions

Spray deposition

Cooling enhancement by drop impingement

Critical heat flux with drops

**Molecular and statistical modeling**

Molecular dynamics

MD applications with particles, bubbles and drops

Stokesian dynamics

Statistical methods

The probability distribution function (PDF)

** Numerical methods-CFD**

Forms of Navier-Stokes equations used in CFD

Primitive variables

Streamfunction-vorticity

False transients

Finite difference method

Spectral and finite-element methods

The spectral method

The finite element and finite volume methods

The Lattice-Boltzmann method

The force coupling method

Turbulent flow models

Direct numerical simulations (DNS)

Reynolds decomposition and averaged equations

The k-£ model

Large Eddy simulations (LES)

Potential flow-boundary integral method

References

Subject Index

Historical background

Forces exerted by a fluid and the equation of motion

Heat transfer

Terminology and nomenclature

Common terms and definitions

Nomenclature

Latin symbols

Greek symbols

Subscripts

Superscripts

Common abbreviations

Dimensionless numbers (Lch=2a)

Examples of applications in science and technology

Oil and gas pipelines

Geothermal wells

Steam generation in boilers and burners

Sediment flow

Steam condensation

Petroleum refining

Spray drying

Pneumatic conveying

Fluidized beds

Fundamental equations of acontinuum

The concept of a material continuum - basic assumptions

Fundamental equations in integral form

Fundamental equations in differential form

Generalized form of the fundamental equations

Conservation equations at the interfaces -jump conditions

Conservation equations for a single particle, bubble or drop

Characteristics of particles, bubbles and drops

Shapes of solid particles

Symmetric particles

Asymmetric or irregular particles

Shapes of bubbles and drops in motion - shape maps

Discrete and continuous size distributions

Useful parameters in discrete size distributions

Continuous size distributions

Drop distribution functions

Conservation equations

Heat-mass transfer analogy

Mass, momentum and heat transfer - Transport coefficients

Steady motion and heat/mass transfer at creeping flow

Transient, creeping flow motion

Notes on the history term

Hydrodynamic force on a viscous sphere

Equation of motion with interfacial slip

Transient motion of an expanding or collapsing bubble

Transient heat/mass transfer at creeping flow

Hydrodynamic force and heat transfer for a spheroid at creeping flow

Steady motion and heat/mass transfer at small Re and Pe

Transient hydrodynamic force at small Re

Transient heat/mass transfer at small Pe

Flow fields around rigid and fluid spheres

Flow around rigid spheres

Flow inside and around viscous spheres

Steady hydrodynamic force and heat transfer

Drag on rigid spheres

Heat transfer from rigid spheres

Radiation effects

Drag on viscous spheres

Heat transfer from viscous spheres

Drag on viscous spheres with mass transfer - Blowing effects

Heat transfer from viscous spheres with mass transfer - Blowing effects

Effects of compressibility and rarefaction

Transient hydrodynamic force

Transient heat transfer

Transient temperature measurements

Transport coefficients of rigid particles at low Re

Hydrodynamic force and drag coefficients

Heat and mass transfer coefficients

Hydrodynamic force for rigid particles at high Re

Drag coefficients for disks and spheroids

Drag coefficients and flow patterns around cylinders

Drag coefficients of irregular particles

Heat transfer for rigid particles at high Re

Heat transfer coefficients for disks and spheroids

Heat transfer coefficients for cylinders

Heat transfer coefficients for irregular particles

Non-spherical bubbles and drops

Drag coefficients

Heat transfer coefficients

Effects of relative rotation

Effects of flow shear

Effects of boundaries

Main flow perpendicular to the boundary

Main flow parallel to the boundary

Equilibrium positions of spheres above horizontal boundaries

Constrained motion in an enclosure

Rigid spheres

Viscous spheres

Immersed objects at off-center positions

Taylor bubbles

Effects of enclosures on the heat and mass transfer

Effects of boundaries on bubble and drop deformation

A note on the lift force in transient flows

Effects of free stream turbulence

Turbulence modulation

Drag reduction

Turbulence models for immersed objects

The trajectory model

The Monte-Carlo method

The two-fluid model

Heat transfer in pipelines with particulates

Turbophoresis and wall deposition

Turbulence and coalescence of viscous spheres

Electrophoresis

Electrophoretic motion

Electro-osmosis

Effects of the double layer on the electrophoretic motion

Electrophoresis in capillaries-microelectrophoresis

Brownian motion

Thermophoresis

Cicle interactions and wall effects in thermophoresis

Thermophoresis in turbulent flows

Porous particles

Surface boundary conditions

Drag force on a porous sphere at low Re

Heat transfer from porous particles

Mass transfer from an object inside a porous medium

Interactions between dispersed objects

Hydrodynamic interactions

Thermal interactions and phase change

Effects of concentration

Effects on the hydrodynamic force

Effects on the heat transfer

Bubble columns

Collisions of spheres

Hard sphere model

Soft-sphere model

Drop collisions and coalescence

Collisions with a wall - Mechanical effects

Heat transfer during wall collisions

Spray deposition

Cooling enhancement by drop impingement

Critical heat flux with drops

Molecular dynamics

MD applications with particles, bubbles and drops

Stokesian dynamics

Statistical methods

The probability distribution function (PDF)

Forms of Navier-Stokes equations used in CFD

Primitive variables

Streamfunction-vorticity

False transients

Finite difference method

Spectral and finite-element methods

The spectral method

The finite element and finite volume methods

The Lattice-Boltzmann method

The force coupling method

Turbulent flow models

Direct numerical simulations (DNS)

Reynolds decomposition and averaged equations

The k-£ model

Large Eddy simulations (LES)

Potential flow-boundary integral method

References

Subject Index

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