Computational Models for Polydisperse Particulate and Multiphase Systems

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.