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
5 - Population Balance in Turbulent Flow
Published online by Cambridge University Press: 14 November 2024
- 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
The interaction of turbulent flow with the population balance is treated in this chapter. Approaches are described for integrating the population balance equation (PBE) within turbulent flow simulations based on Reynolds-Averaged Navier-Stokes (RANS), large eddy simulation (LES) and direct numerical simulation (DNS). The focus is on kinetic processes in non-inertial particles. The closure problem and the various unclosed terms that appear in the PBE in turbulent flow are discussed. Subsequently, the fundamental concepts and formulations of presumed and transported probability density function (PDF) methods for addressing the turbulence-PBE interaction are presented and explained. Stochastic numerical methods for solution of the PBE-PDF equation are also discussed.
- Type
- Chapter
- Information
- Population Balance of Particles in FlowsFrom Aerosols to Crystallisation, pp. 193 - 234Publisher: Cambridge University PressPrint publication year: 2024