Computational Models for Polydisperse Particulate and Multiphase Systems

All-inclusive introduction to polydisperse multiphase flows linking theory to practice through numerous real-world examples and MATLAB® scripts for key algorithms.

Daniele L. Marchisio (Author), Rodney O. Fox (Author)

9780521858489, Cambridge University Press

Hardback, published 28 March 2013

544 pages, 80 b/w illus. 25 tables 8 exercises
25.3 x 17.8 x 2.8 cm, 1.21 kg

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.

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.

Subject Areas: Mechanics of fluids [TGMF], Mechanical engineering [TGB], Chemical engineering [TDCB], Fluid mechanics [PHDF], Applied mathematics [PBW]