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By Guan Heng Yeoh, Senior Research Scientist, ANSTO (Australian Nuclear Science and Technology Organisation) and Visiting Professor, City University of Hong Kong Jiyuan Tu, Professor of Computational Fluid Dynamics, School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Australia
Audience
chemical and mechanical engineers, especially in filtration, separation, gas/ liquid pumping, aerospace, automotive and energy industries.
Contents Table of Contents Preface Introduction Classification and Phenomenological Discussion Typical Practical Problems Involving Multiphase Flows Computational Fluid Dynamics as a Research
Tool for Multiphase Flows Computational Fluid Dynamics as a Design Tool for Multiphase Flows Impact
of Multiphase Flow Study on Computational Fluid Dynamics Scope of This Book Governing
Equations and Boundary Conditions Background of Different Approaches Averaging Procedure
for Multiphase Flow Equations of Motion for Continuous Phase Conservation of Mass Conservation of Momentum Conservation of Energy Interfacial Transport Effective Conservation Equations Comments and Observations on the Governing Equations for
the Two-Fluid Modeling Approach Equations of Motion for Disperse Phase Turbulence in Transport
Phenomena Reynolds-Averaged Equations Reynolds-Averaged Closure Some
Comments on the k-e Model and Implications of Other Turbulence Models Shear Stress Transport (SST) Model Reynolds Stress Model Near Wall Treatment Comments on Turbulence Modeling
of the Disperse Phase Differential and Integral Form of the Transport Equations A
Comment on Multi-Fluid Model Boundary Conditions and Their Physical Interpretation Comments
on Some Wall Boundary Conditions for Multiphase Problems Summary Solution
Methods for Multiphase Flows Introduction MESH SYSTEMS Consideration
for a Range of Multiphase Flow Problems Application of Structured Mesh Application of
Body-Fitted Mesh Application of Unstructured Mesh Some Comments on Grid Generation
EULERIAN-EULERIAN FRAMEWORK Numerical Algorithms Basic
Aspects of Discretisation – Finite Difference Method Basic Aspects of Discretisation – Finite Volume Method Basic Approximation of the Diffusion Term Based Upon the Finite Volume Method Basic Approximation
of the Advection Term Based Upon the Finite Volume Method Some Comments on the Need for TVD Schemes Explicit and Implicit Approaches Assembly of Discretised Equations Comments on the
Linearization of Source Terms Solution Algorithms The Philosophy Behind the Pressure-Correction
Techniques for Multiphase Problems SIMPLE Algorithm for Mixture or Homogeneous Flows A
Comment on Other Pressure Correction Methods Evaluation of the Face Velocity in Different Mesh Systems Iterative Procedure Based on the SIMPLE Algorithm Inter-Phase Slip Algorithm (IPSA) for Multiphase Flows Inter-Phase Slip Algorithm-Coupled (IPSA-C) for Multiphase Flows Comments on the Need for Improved
Interpolation Methods of Evaluating the Face Velocity in Multiphase Problems Matrix Solvers for the Segregated
Approach in Different Mesh Systems Coupled Equation System EULERIAN-LAGRANGIAN FRAMEWORK
Numerical and Solution Algorithms Basic Numerical Techniques Comments
on Sampling Particulates for Turbulent Dispersion Some Comments on Attaining Proper Statistical Realizations Evaluation of Source Terms for the Continuous Phase INTERFACE TRACKING/CAPTURING ALGORITHMS
Basic Considerations of Interface Tracking/Capturing Methods Algorithms Based on Surface Methods:
With Comments Markers on Interface (Surface Marker Techniques) Algorithms Based
on Volume Methods: With Comments Markers in Fluid (MAC Formulation) Volume of Fluid (VOF) Level Set Method Hybrid Methods Computing Surface Tension and Wall Adhesion Summary Gas-Particle Flows Introduction
Background Classification of Gas-Particle Flows Particle Loading and Stokes
Number Particle Dispersion due to Turbulence Multiphase Models for Gas-Particle Flows Eulerian-Lagrangian Framework Eulerian-Eulerian Framework Turbulence
Modeling Particle-Wall Collision Model Worked Examples Dilute
Gas-Particle Flow over a Two-Dimensional Backward Facing Step Dilute Gas-Particle Flow over a Three-Dimensional
90 o Bend Dilute Gas-Particle Flow over an Inline Tube Bank Summary
Liquid-Particle Flows Introduction Background Some
Physical Characteristics of Flow in Sedimentation Tank Some Physical Characteristics of Flow in Slurry Transport Multiphase Models for Liquid-Particle Flows Mixture Model Modeling
Source or Sink Terms for Flow in Sedimentation Tank Modeling Source or Sink Terms for Flow in Slurry Transportation Turbulence Modeling Worked Examples Liquid-Particle Flow
in Sedimentation Tank Sand-Water Slurry Flow in a Horizontal Straight Pipe Summary Gas-Liquid Flows Introduction Background Categorization of Different Flow Regimes Some Physical Characteristics of Boiling Flow
Multiphase Models for Liquid-Particle Flows Multi-Fluid Model Inter-phase
Mass Transfer Inter-phase Momentum Transfer Inter-phase Heat Transfer
Turbulence Modeling Population Balance Approach Need for Population Balance in
Gas-Liquid Flows Population Balance Equation (PBE) Method of Moments (MOM) Quadrature Method of Moments (QMOM) Direct Quadrature Method of Moments (DQMOM) Class
Methods (CM) Average Quantities Approach MUltiple SIze Group (MUSIG) Model
Bubble Interaction Mechanisms Single Average Scalar Approach for Bubbly Flows Multiple
Bubble Size Approach for Bubbly Flows Comments of Other Coalescence and Break-up Kernels Modeling
Beyond Bubbly Flows – A Phenomenological Consideration Modeling Subcooled Boiling Flows Review of Current Model Applications Phenomenological Description Nucleation of Bubbles
at Heated Walls Condensation of Bubbles in Subcooled Liquid Worked Examples
Dispersed Bubbly Flow in a Rectangular Column Bubbly Flow in a Vertical Pipe Subcooled
Boiling Flow in a Vertical Annulus Application of MUSIG Boiling Model Application of
Improved Wall Heat Partition Model Summary Free Surface Flows
Introduction Multiphase Models for Free Surface Flows Relevant Worked Examples
Bubble Rising in a Viscous Liquid Single Taylor Bubble Collapse of a Liquid
Column (Breaking Dam Problem) Sloshing of Liquid Summary
Freezing/Solidification Introduction Mathematical Formulation Governing Equations Solid-Liquid Interface Other Boundary Conditions
Numerical Procedure Internal Grid Generation Surface Grid Generation Optimizing Computational Meshes Objective Function Optimization Algorithm Transformation of Governing Equations and Boundary Conditions Worked Examples
Freezing of Water on a Vertical Wall in an Enclosed Cavity Freezing of Water in an Open Cubical Cavity Summary Three-Phase Flows Introduction Description of Problem in the Context of Computational Fluid Dynamics Modeling Approaches for Gas-Liquid-Solid
Flows Three-Fluid Model Turbulence Modeling Evaluation of Multiphase
Models for Gas-Liquid-Solid Flows Three-Phase Modeling of the Air Lift Pump Modeling
of Three-Phase Mechanically Agitated Reactor Summary Future Trends in Handling
Turbulent Multiphase Flows Introduction Direct Numerical Simulation of Multiphase Flows Model Description Large Eddy Simulation of Multiphase Flows Model Description Basic Sub-Grid Scale Model Dynamic Sub-Grid Scale Model
On Modeling Gas-Liquid-Solid Fluidization Governing Equations Interface Tracking/Capturing
methods: With Comments Discrete Particle Model Particle-Particle Collision Inter-Phase Couplings Simulation Results Some Concluding Remarks
Appendix A Full Derivation of Conservation Equations References Subject Index
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