Multiphase Flow Analysis Using Population Balance Modeling

Preface

Foreword

Acknowledgments

Introduction

Chapter 1. Introduction

Abstract

1.1 Classification and Application of Multiphase Flows

1.2 Complexity of Multiphase Flows

1.3 Multiscale Characteristics of Multiphase Flows

1.4 Need of Population Balance Modeling for Multiphase Flows

1.5 Scope of this Book

Chapter 2. Computational Multiphase Fluid Dynamics Framework

Abstract

2.1 Eulerian Formulation Based on Interpenetrating Media Framework

2.2 Lagrangian Description on Discrete Element Framework

2.3 Differential, Generic and Integral Form of the Transport Equations for Multiphase Flow

2.4 Boundary Conditions for Multiphase Flow

2.5 Summary

Chapter 3. Population Balance Approach—A Generic Framework

Abstract

3.1 What is a Population Balance Approach?

3.2 Basic Definitions

3.3 Fundamentals of Population Balance Equation

3.4 Practical Considerations of Population Balance Framework

3.5 Comments on the Coupling Between Population Balance and Computational Multiphase Fluid Dynamics

3.6 Summary

Chapter 4. Mechanistic Models for Gas–Liquid/Liquid–Liquid Flows

Abstract

4.1 Introduction

4.2 Mechanisms and Kernels of Fluid Particle Coalescence

4.3 Mechanisms and Kernels of Fluid Particle Break up

4.4 Mechanisms and Kernels of Fluid Particle Coalescence and Break up for One-group, Two-group and Multigroup Formulation

4.5 Summary

Chapter 5. Mechanistic Models for Gas–Particle Liquid–Particle Flows

Abstract

5.1 Introduction

5.2 Mechanisms and Kernel Models of Solid Particle Aggregation

5.3 Mechanisms and Kernel Models of Solid Particle Breakage

5.4 Discrete Element Method—Soft-Sphere Model

5.5 Summary

Chapter 6. Solution Methods and Turbulence Modeling

Abstract

6.1 Introduction

6.2 Solution Methods for Eulerian Models

6.3 Mesh Systems

6.4 Numerical Discretization

6.5 Numerical Solvers

6.6 Solution Methods for the Population Balance Equation

6.7 Solution Methods for Lagrangian Models

6.8 Turbulence Modeling for Multiphase Flows

6.9 Summary

Chapter 7. Some Applications of Population Balance with Examples

Abstract

7.1 Introduction

7.2 Population Balance Solutions to Gas–Liquid Flow

7.3 Population Balance Solutions to Liquid–Liquid Flow

7.4 Population Balance Solutions to Gas–Particle Flow

7.5 Population Balance Solutions to Liquid–Particle Flow

7.6 Summary

Chapter 8. Future of the Population Balance Approach

Abstract

8.1 Introduction

8.2 Emerging Areas on the Use of the Population Balance Approach

8.3 Summary

References

Index