This book explains how to formulate and solve population balance problems, with particular focus on coupling with fluid mechanics. It will be valuable to researchers across a wide range of fields including chemical and mechanical engineering, physics and environmental science, and can be used for advanced undergraduate and graduate courses.
The population balance methodology provides a powerful framework for studying polydisperse entities such as aerosols, crystals and bubbles. This self-contained and accessible book explains how this theoretical framework can be employed across a wide range of scientific, engineering and environmental problems. The methodology is explained step-by-step, showing readers how to use these techniques by formulating the population balance problem, choosing models and implementing appropriate solution methods. Particular focus is given to the coupling of the population balance with fluid mechanics and computational fluid dynamics (CFD), in both laminar and turbulent flows. Applications of the population balance methodology are explored in case studies including nanoparticle synthesis, soot formation and crystallisation, and sample open-source code is provided. This book will be valuable to researchers across a range of disciplines including chemical and mechanical engineering, physics and environmental science, and can be used as a resource for advanced undergraduate and graduate courses.
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A self-contained text that explains the population balance methodology, including its coupling with fluid mechanics and its applications.
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.
Stelios Rigopoulos is Reader in Thermofluids at Imperial College London. He has conducted research on the population balance methodology and its applications for over twenty years, receiving a Royal Society University Research Fellowship for his work. His group has pioneered methods for solving the population balance and coupling it with fluid dynamics, including turbulent flow, with applications that included aerosols, crystallisation, soot formation and nanoparticle synthesis.
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