Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Notation
- 1 Introductory Concepts
- 2 Formulation of the Population Balance
- 3 Kinetic and Transport Processes
- 4 Solution of the PBE
- 5 Population Balance in Turbulent Flow
- 6 Case Studies of CFD-PBE Application
- Appendix A Coupling of PBE with Fluid Flow, Heat and Mass Transfer
- Appendix B Implementation of the Conservative Finite Volume Discretisation Method
- Appendix C Derivation of the PDF Transport Equation
- Appendix D Derivation of the Stochastic Field Equation
- References
- Index
4 - Solution of the PBE
Published online by Cambridge University Press: 14 November 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Notation
- 1 Introductory Concepts
- 2 Formulation of the Population Balance
- 3 Kinetic and Transport Processes
- 4 Solution of the PBE
- 5 Population Balance in Turbulent Flow
- 6 Case Studies of CFD-PBE Application
- Appendix A Coupling of PBE with Fluid Flow, Heat and Mass Transfer
- Appendix B Implementation of the Conservative Finite Volume Discretisation Method
- Appendix C Derivation of the PDF Transport Equation
- Appendix D Derivation of the Stochastic Field Equation
- References
- Index
Summary
Methods for solving the various population balance formulations are presented and explained. The methods are presented progressively based on the kinetic and transport processes involved. In terms of methodology, the solution methods for the kinetic part of the population balance equation (PBE) are classified into several families: analytical/similarity, moment, discretisation and Monte Carlo methods. Methods for solving coupled computational fluid dynamics (CFD) – PBE problems are also presented. For each method, the advantages and disadvantages that determine its suitability for certain classes of problems are discussed.
- Type
- Chapter
- Information
- Population Balance of Particles in FlowsFrom Aerosols to Crystallisation, pp. 110 - 192Publisher: Cambridge University PressPrint publication year: 2024