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## Book Description

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.

1. Cover
2. Title Page
4. Dedication
5. Contents
6. Preface
7. Notation
8. 1. Introduction
1. 1.1. Disperse multiphase flows
2. 1.2. Two example systems
3. 1.3. The mesoscale modeling approach
4. 1.4. Closure methods for moment-transport equations
5. 1.5. A road map to Chapters 2–8
9. 2. Mesoscale description of polydisperse systems
1. 2.1. Number-density functions (NDF)
2. 2.2. The NDF transport equation
3. 2.3. Moment-transport equations
4. 2.4. Flow regimes for the PBE
5. 2.5. The moment-closure problem
1. 3.1. Univariate distributions
2. 3.2. Multivariate distributions
3. 3.3. The extended quadrature method of moments (EQMOM)
4. 3.4. The direct quadrature method of moments (DQMOM)
11. 4. The generalized population-balance equation
1. 4.1. Particle-based definition of the NDF
2. 4.2. From the multi-particle–fluid joint PDF to the GPBE
3. 4.3. Moment-transport equations
4. 4.4. Moment closures for the GPBE
12. 5. Mesoscale models for physical and chemical processes
1. 5.1. An overview of mesoscale modeling
2. 5.2. Phase-space advection: mass and heat transfer
3. 5.3. Phase-space advection: momentum transfer
5. 5.5. Diffusion processes
6. 5.6. Zeroth-order point processes
7. 5.7. First-order point processes
8. 5.8. Second-order point processes
13. 6. Hard-sphere collision models
1. 6.1. Monodisperse hard-sphere collisions
2. 6.2. Polydisperse hard-sphere collisions
3. 6.3. Kinetic models
4. 6.4. Moment-transport equations
5. 6.5. Application of quadrature to collision terms
14. 7. Solution methods for homogeneous systems
1. 7.1. Overview of methods
2. 7.2. Class and sectional methods
3. 7.3. The method of moments
5. 7.5. Monte Carlo methods
6. 7.6. Example homogeneous PBE
15. 8. Moment methods for inhomogeneous systems
1. 8.1. Overview of spatial modeling issues
2. 8.2. Kinetics-based finite-volume methods
3. 8.3. Inhomogeneous PBE
4. 8.4. Inhomogeneous KE
5. 8.5. Inhomogeneous GPBE
6. 8.6. Concluding remarks
16. Appendix A. Moment-inversion algorithms