Computational Models for Polydisperse Particulate and Multiphase Systems

by Daniele L. Marchisio, Rodney O. Fox

Overview

Providing a clear description of the theory of polydisperse multiphase flows, with emphasis on the mesoscale modelling approach and its relationship with microscale and macroscale models, this all-inclusive introduction is ideal whether you are working in industry or academia. Theory is linked to practice through discussions of key real-world cases (particle/droplet/bubble coalescence, break-up, nucleation, advection and diffusion and physical- and phase-space), providing valuable experience in simulating systems that can be applied to your own applications. Practical cases of QMOM, DQMOM, CQMOM, EQMOM and ECQMOM are also discussed and compared, as are realizable finite-volume methods. This provides the tools you need to use quadrature-based moment methods, choose from the many available options, and design high-order numerical methods that guarantee realizable moment sets. In addition to the numerous practical examples, MATLAB scripts for several algorithms are also provided, so you can apply the methods described to practical problems straight away.

Product Details

ISBN-13:	9780521858489
Publisher:	Cambridge University Press
Publication date:	03/28/2013
Series:	Cambridge Series in Chemical Engineering
Pages:	544
Product dimensions:	7.01(w) x 9.96(h) x 1.10(d)

About the Author

Daniele L. Marchisio is an Associate Professor at the Politecnico di Torino, Italy, where he received his Ph.D. in 2001. He held visiting positions at the Laboratoire des Science du Génie Chimique, CNRS–ENSIC (Nancy, France), Iowa State University (USA), Eidgenössische Technische Hochschule Zürich (Switzerland), University College London (UK) and has been an invited professor at Aalborg University (Denmark) and University of Valladolid (Spain). He acts as referee for the key international journals of his field of research. He has authored 60 scientific papers, five book chapters and co-edited the volume Multiphase Reacting Flows (2007).

Rodney O. Fox is the Anson Marston Distinguished Professor of Engineering at Iowa State University, Associate Scientist at the US-DOE Ames Laboratory and Senior Research Fellow in the EM2C laboratory at the Ecole Centrale Paris, France. His numerous professional awards include a NSF Presidential Young Investigator Award in 1992 and Fellow of the American Physical Society in 2007. The impact of Fox's work touches every technological area dealing with multiphase flow and chemical reactions. His monograph Computational Models for Turbulent Reacting Flows (Cambridge University Press, 2003) offers an authoritative treatment of the field.

Table of Contents

Introduction; Part I: 1. Disperse multiphase flows; 2. Two example systems; 3. Mesoscale modeling approach; 4. Closure methods for moment transport equations; 5. A road map; Part II. Mesoscale Description of Polydisperse Systems: 6. Number density functions (NDF); 7. NDF transport equation; 8. Moment transport equations; 9. Flow regimes for the PBE; 10. The moment closure problem; Part III. Quadrature-based Moment Methods: 11. Univariate distributions; 12. Multivariate distributions; 13. Extended quadrature method of moments (EQMOM); 14. Direct quadrature method of moments (DQMOM); Part IV. The Generalized Population Balance Equation: 15. Particle-based definition of the NDF; 16. From the multi-particle-fluid joint PDF to the GPBE; 17. Moment transport equations; 18. Moment closures for the GPBE; Part V. Mesoscale Models for Physical and Chemical Processes: 19. An overview of mesoscale modeling; 20. Phase-space advection: mass and heat transfer; 21. Phase-space advection: momentum transfer; 22. Real-space advection; 23. Diffusion processes; 24. Zero-order point processes; 25. First-order point processes; 26. Second-order point processes; Part VI. Hard-Sphere Collision Models: 27. Monodispere hard-sphere collisions; 28. Polydispere hard-sphere collisions; 29. Kinetic models; 30. Moment transport equations; 31. Application of quadrature to collision terms; Part VII. Solution Methods for Homogeneous Systems: 32. Overview of methods; 33. Class and sectional methods; 34. Method of moments; 35. Quadrature-based moment methods; 36. Monte Carlo methods; 37. Example homogeneous PBEs; Part VIII. Moment Methods for Inhomogeneous Systems: 38. Overview of spatial modeling issues; 39. Kinetic-based finite-volume methods; 40. Inhomogeneous PBE; 41. Inhomogeneous KE; 42. Inhomogeneous GPBE; 43. Concluding remarks; Appendices: A. Moment-inversion algorithms; B. Kinetic-based finite-volume methods; C. Moment methods with hyperbolic equations; D. Direct quadrature method of moments fully conservative.