Computational Models for Polydisperse Particulate and Multiphase Systems

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.

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.