Population Balance of Particles in Flows: From Aerosols to Crystallisation

Stelios Rigopoulos

doi:10.1017/9781009067829

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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Contents

Frontmatter
pp i-iv
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Dedication
pp v-vi
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Contents
pp vii-xii
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Preface
pp xiii-xv
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Acknowledgements
pp xvi-xvi
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Notation
pp xvii-xviii
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1 - Introductory Concepts
pp 1-23
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2 - Formulation of the Population Balance
pp 24-58
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3 - Kinetic and Transport Processes
pp 59-109
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4 - Solution of the PBE
pp 110-192
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5 - Population Balance in Turbulent Flow
pp 193-234
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6 - Case Studies of CFD-PBE Application
pp 235-319
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Appendix A - Coupling of PBE with Fluid Flow, Heat and Mass Transfer
pp 320-330
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Appendix B - Implementation of the Conservative Finite Volume Discretisation Method
pp 331-338
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Appendix C - Derivation of the PDF Transport Equation
pp 339-344
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Appendix D - Derivation of the Stochastic Field Equation
pp 345-349
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References
pp 350-378
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Index
pp 379-383
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Population Balance of Particles in Flows

From Aerosols to Crystallisation

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-xii

Preface
pp xiii-xv

Acknowledgements
pp xvi-xvi

Notation
pp xvii-xviii

1 - Introductory Concepts
pp 1-23

2 - Formulation of the Population Balance
pp 24-58

3 - Kinetic and Transport Processes
pp 59-109

4 - Solution of the PBE
pp 110-192

5 - Population Balance in Turbulent Flow
pp 193-234

6 - Case Studies of CFD-PBE Application
pp 235-319

Appendix A - Coupling of PBE with Fluid Flow, Heat and Mass Transfer
pp 320-330

Appendix B - Implementation of the Conservative Finite Volume Discretisation Method
pp 331-338

Appendix C - Derivation of the PDF Transport Equation
pp 339-344

Appendix D - Derivation of the Stochastic Field Equation
pp 345-349

References
pp 350-378

Index
pp 379-383

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Population Balance of Particles in Flows

From Aerosols to Crystallisation

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