Theory of Particulate Processes

Theory of Particulate Processes

Analysis and Techniques of Continuous Crystallization

1st Edition - January 1, 1971

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  • Author: Alan Randolph
  • eBook ISBN: 9780323158497

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Theory of Particulate Processes: Analysis and Techniques of Continuous Crystallization describes the complexity of crystal size distribution (CSD), secondary nucleation, and growth mechanisms. This book is divided into 10 chapters that present a generalization from CSD studies as a unified predictive theory of particulate systems. After an introduction to CSD and particle-size distribution systems, this book goes on examining several empirical, one-dimensional distribution functions suitable for the latter system. The next chapter presents a unified theory for multidimensional particle distributions which can be used to analyze and predict such distributions in certain regular, well-defined processes. These topics are followed by a survey on how the size distribution of the product of a continuous mixed-suspension, mixed product-removal crystallizer is obtained. Other chapters describe special cases, which apparently obtain in real systems, including effects of classification, poor mixing, crystal breakage, staging, and size-dependent growth. The remaining chapters deal with the ramification of secondary nucleation as contrasted with homogeneous nucleation. This book is of great value to graduate students with particulate systems course.

Table of Contents

  • Preface


    Chapter 1. Introduction

    1.1 Particle-Size Distribution

    1.2 Crystal-Size Distribution

    1.3 Comminution Processes

    1.4 Other Particulate Processes


    Chapter 2. Particle Distributions

    2.1 Introduction

    2.2 Representation of Distributions

    2.3 Properties from the Particle Distribution

    2.4 Summary



    Chapter 3. The Population Balance

    3.1 Introduction

    3.2 Particle Phase Space

    3.3 Population Fluxes: Convection, Birth, and Death

    3.4 Particle-Number Continuity Equation

    3.5 Population Balance over a Macroscopic External Coordinate Region

    3.6 Moment Transformation of Population Balance

    3.7 Macro-Moment Equations

    3.8 Recovery of the Particle-Size Distribution Function from the Moments

    3.9 Summary



    Chapter 4. The Steady-State MSMPR Crystallizer

    4.1 Definition of System and Constraints

    4.2 The Crystal Population Balance

    4.3 Significance of the Distribution Representation

    4.4 The Exponential Distribution

    4.5 The Mass Balance

    4.6 Summary


    Chapter 5. The Unsteady State

    5.1 Dynamic Population Balance

    5.2 CSD Transients

    5.3 Transient Moment Equations

    5.4 Transient Size Distribution by Method of Characteristics

    5.5 Stability of CSD

    5.6 Summary



    Chapter 6. Crystallization Kinetics

    6.1 Nucleation

    6.2 Secondary Nucleation

    6.3 Crystal Growth

    6.4 Summary



    Chapter 7. Effects of Formation and Growth Kinetics on Particle-Size Distribution

    7.1 Effect of Supersaturation of CSD

    7.2 Effect of Suspended Solids on CSD

    7.3 Effects of Secondary Nucleation

    7.4 Effects of Size-Dependent Growth Kinetics

    7.5 Effect of Crystal Fracture

    Chapter 8. Variations in Residence-Time Distributions

    8.1 Introduction

    8.2 Growth-Type Crystallizer

    8.3 Fines Destruction

    8.4 Classified Product Removal

    8.5 Crystallizer Cascades

    8.6 Batch Crystallizers

    8.7 Summary


    Chapter 9. Kinetic Data from MSMPR Crystallizers

    9.1 Features of the Apparatus

    9.2 Physical Features of the MSMPR Crystallizer

    9.3 Measurement of Size Distribution

    9.4 Reported Data

    9.5 Crystallization with Additives

    9.6 Automatic Particle Counting in a Continuous Mixed System

    9.7 Summary


    Chapter 10. Application to Other Systems

    10.1 Comminution Processes

    10.2 Emulsion Polymerization

    10.3 Microbial Populations

    10.4 Particle Agglomeration

    10.5 Residence-Time Distributions

    10.6 Dispersed-Phase Mixing

    10.7 Demographic Analysis

    10.8 Summary


    Appendix A. Dimensionless Weight-Fraction Function

    Appendix B. Problems

    2 Particle Distributions

    3 The Population Balance

    4 The Steady-State MSMPR Crystallizer

    5 The Unsteady State

    7 Effects of Formation and Growth Kinetics on Particle-Size Distribution

    8 Variations in Residence-Time Distributions

    Appendix C. Solution of the Population Balance for Size Distribution

    Appendix D. Selected Bibliography

    I Books

    II Population Balances

    III Crystal-Size Distribution

    IV Dynamics and Stability of Crystallizers

    V Nucleation-Growth Rate Kinetics

    VI Grinding References

    Author Index

    Subject Index

Product details

  • No. of pages: 268
  • Language: English
  • Copyright: © Academic Press 1971
  • Published: January 1, 1971
  • Imprint: Academic Press
  • eBook ISBN: 9780323158497

About the Author

Alan Randolph

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