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Computational models for polydisperse particulate and multiphase systems

Author: Daniele L Marchisio; Rodney O Fox
Publisher: Cambridge : Cambridge University Press, 2013.
Series: Cambridge series in chemical engineering.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Marchisio, Daniele L.
Computational models for polydisperse particulate and multiphase systems.
Cambridge ; New York : Cambridge University Press, [2013]
(DLC) 2012044073
(OCoLC)813939040
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Daniele L Marchisio; Rodney O Fox
ISBN: 1139016598 9781139016599 9781107336278 1107336279 9781680159912 1680159917
OCLC Number: 839386877
Description: 1 online resource (498 pages).
Contents: Cover --
Contents --
Preface --
Notation --
1 Introduction --
1.1 Disperse multiphase flows --
1.2 Two example systems --
1.2.1 The population-balance equation for fine particles --
1.2.2 The kinetic equation for gas --
particle flow --
1.3 The mesoscale modeling approach --
1.3.1 Relation to microscale models --
1.3.2 Number-density functions --
1.3.3 The kinetic equation for the disperse phase --
1.3.4 Closure at the mesoscale level --
1.3.5 Relation to macroscale models --
1.4 Closure methods for moment-transport equations --
1.4.1 Hydrodynamic models --
1.4.2 Moment methods --
1.5 A road map to Chapters 2 --
8 --
2 Mesoscale description of polydisperse systems --
2.1 Number-density functions (NDF) --
2.1.1 Length-based NDF --
2.1.2 Volume-based NDF --
2.1.3 Mass-based NDF --
2.1.4 Velocity-based NDF --
2.2 The NDF transport equation --
2.2.1 The population-balance equation (PBE) --
2.2.2 The generalized population-balance equation (GPBE) --
2.2.3 The closure problem --
2.3 Moment-transport equations --
2.3.1 Moment-transport equations for a PBE --
2.3.2 Moment-transport equations for a GPBE --
2.4 Flow regimes for the PBE --
2.4.1 Laminar PBE --
2.4.2 Turbulent PBE --
2.5 The moment-closure problem --
3 Quadrature-based moment methods --
3.1 Univariate distributions --
3.1.1 Gaussian quadrature --
3.1.2 The product --
difference (PD) algorithm --
3.1.3 The Wheeler algorithm --
3.1.4 Consistency of a moment set --
3.2 Multivariate distributions --
3.2.1 Brute-force QMOM --
3.2.2 Tensor-product QMOM --
3.2.3 Conditional QMOM --
3.3 The extended quadrature method of moments (EQMOM) --
3.3.1 Relationship to orthogonal polynomials --
3.3.2 Univariate EQMOM --
3.3.3 Evaluation of integrals with the EQMOM --
3.3.4 Multivariate EQMOM --
3.4 The direct quadrature method of moments (DQMOM) --
4 The generalized population-balance equation. 4.1 Particle-based definition of the NDF --
4.1.1 Definition of the NDF for granular systems --
4.1.2 NDF estimation methods --
4.1.3 Definition of the NDF for fluid --
particle systems --
4.2 From the multi-particle --
fluid joint PDF to the GPBE --
4.2.1 The transport equation for the multi-particle joint PDF --
4.2.2 The transport equation for the single-particle joint PDF --
4.2.3 The transport equation for the NDF --
4.2.4 The closure problem --
4.3 Moment-transport equations --
4.3.1 A few words about phase-space integration --
4.3.2 Disperse-phase number transport --
4.3.3 Disperse-phase volume transport --
4.3.4 Fluid-phase volume transport --
4.3.5 Disperse-phase mass transport --
4.3.6 Fluid-phase mass transport --
4.3.7 Disperse-phase momentum transport --
4.3.8 Fluid-phase momentum transport --
4.3.9 Higher-order moment transport --
4.4 Moment closures for the GPBE --
5 Mesoscale models for physical and chemical processes --
5.1 An overview of mesoscale modeling --
5.1.1 Mesoscale models in the GPBE --
5.1.2 Formulation of mesoscale models --
5.1.3 Relation to macroscale models --
5.2 Phase-space advection: mass and heat transfer --
5.2.1 Mesoscale variables for particle size --
5.2.2 Size change for crystalline and amorphous particles --
5.2.3 Non-isothermal systems --
5.2.4 Mass transfer to gas bubbles --
5.2.5 Heat/mass transfer to liquid droplets --
5.2.6 Momentum change due to mass transfer --
5.3 Phase-space advection: momentum transfer --
5.3.1 Buoyancy and drag forces --
5.3.2 Virtual-mass and lift forces --
5.3.3 Boussinesq --
Basset, Brownian, and thermophoretic forces --
5.3.4 Final expressions for the mesoscale acceleration models --
5.4 Real-space advection --
5.4.1 The pseudo-homogeneous or dusty-gas model --
5.4.2 The equilibrium or algebraic Eulerian model --
5.4.3 The Eulerian two-fluid model. 5.4.4 Guidelines for real-space advection --
5.5 Diffusion processes --
5.5.1 Phase-space diffusion --
5.5.2 Physical-space diffusion --
5.5.3 Mixed phase- and physical-space diffusion --
5.6 Zeroth-order point processes --
5.6.1 Formation of the disperse phase --
5.6.2 Nucleation of crystals from solution --
5.6.3 Nucleation of vapor bubbles in a boiling liquid --
5.7 First-order point processes --
5.7.1 Particle filtration and deposition --
5.7.2 Particle breakage --
5.8 Second-order point processes --
5.8.1 Derivation of the source term --
5.8.2 Source terms for aggregation and coalescence --
5.8.3 Aggregation kernels for fine particles --
5.8.4 Coalescence kernels for droplets and bubbles --
6 Hard-sphere collision models --
6.1 Monodisperse hard-sphere collisions --
6.1.1 The Boltzmann collision model --
6.1.2 The collision term for arbitrary moments --
6.1.3 Collision angles and the transformation matrix --
6.1.4 Integrals over collision angles --
6.1.5 The collision term for integer moments --
6.2 Polydisperse hard-sphere collisions --
6.2.1 Collision terms for arbitrary moments --
6.2.2 The third integral over collision angles --
6.2.3 Collision terms for integer moments --
6.3 Kinetic models --
6.3.1 Monodisperse particles --
6.3.2 Polydisperse particles --
6.4 Moment-transport equations --
6.4.1 Monodisperse particles --
6.4.2 Polydisperse particles --
6.5 Application of quadrature to collision terms --
6.5.1 Flux terms --
6.5.2 Source terms --
7 Solution methods for homogeneous systems --
7.1 Overview of methods --
7.2 Class and sectional methods --
7.2.1 Univariate PBE --
7.2.2 Bivariate and multivariate PBE --
7.2.3 Collisional KE --
7.3 The method of moments --
7.3.1 Univariate PBE --
7.3.2 Bivariate and multivariate PBE --
7.3.3 Collisional KE --
7.4 Quadrature-based moment methods --
7.4.1 Univariate PBE. 7.4.2 Bivariate and multivariate PBE --
7.4.3 Collisional KE --
7.5 Monte Carlo methods --
7.6 Example homogeneous PBE --
7.6.1 A few words on the spatially homogeneous PBE --
7.6.2 Comparison between the QMOM and the DQMOM --
7.6.3 Comparison between the CQMOM and Monte Carlo --
8 Moment methods for inhomogeneous systems --
8.1 Overview of spatial modeling issues --
8.1.1 Realizability --
8.1.2 Particle trajectory crossing --
8.1.3 Coupling between active and passive internal coordinates --
8.1.4 The QMOM versus the DQMOM --
8.2 Kinetics-based finite-volume methods --
8.2.1 Application to PBE --
8.2.2 Application to KE --
8.2.3 Application to GPBE --
8.3 Inhomogeneous PBE --
8.3.1 Moment-transport equations --
8.3.2 Standard finite-volume schemes for moments --
8.3.3 Realizable finite-volume schemes for moments --
8.3.4 Example results for an inhomogeneous PBE --
8.4 Inhomogeneous KE --
8.4.1 The moment-transport equation --
8.4.2 Operator splitting for moment equations --
8.4.3 A realizable finite-volume scheme for bivariatevelocity moments --
8.4.4 Example results for an inhomogeneous KE --
8.5 Inhomogeneous GPBE --
8.5.1 Classes of GPBE --
8.5.2 Spatial transport with known scalar-dependent velocity --
8.5.3 Example results with known scalar-dependent velocity --
8.5.4 Spatial transport with scalar-conditioned velocity --
8.5.5 Example results with scalar-conditioned velocity --
8.5.6 Spatial transport of the velocity-scalar NDF --
8.6 Concluding remarks --
Appendix A Moment-inversion algorithms --
A.1 Univariate quadrature --
A.1.1 The PD algorithm --
A.1.2 The adaptive Wheeler algorithm --
A.2 Moment-correction algorithms --
A.2.1 The correction algorithm of McGraw --
A.2.2 The correction algorithm of Wright --
A.3 Multivariate quadrature --
A.3.1 Brute-force QMOM --
A.3.2 Tensor-product QMOM --
A.3.3 The CQMOM --
A.4 The EQMOM. A.4.1 Beta EQMOM --
A.4.2 Gamma EQMOM --
A.4.3 Gaussian EQMOM --
Appendix B Kinetics-based finite-volume methods --
B.1 Spatial dependence of GPBE --
B.2 Realizable FVM --
B.3 Advection --
B.4 Free transport --
B.5 Mixed advection --
B.6 Diffusion --
Appendix C Moment methods with hyperbolic equations --
C.1 A model kinetic equation --
C.2 Analytical solution for segregated initial conditions --
C.2.1 Segregating solution --
C.2.2 Mixing solution --
C.3 Moments and the quadrature approximation --
C.3.1 Moments of segregating solution --
C.3.2 Moments of mixing solution --
C.4 Application of QBMM --
C.4.1 The moment-transport equation --
C.4.2 Transport equations for weights and abscissas --
Appendix D The direct quadrature method of moments fully conservative --
D.1 Inhomogeneous PBE --
D.2 Standard DQMOM --
D.3 DQMOM-FC --
D.4 Time integration --
References --
Index.
Series Title: Cambridge series in chemical engineering.
Responsibility: Daniele L. Marchisio, Politecnico di Torino, Rodney O. Fox, Iowa State University.

Abstract:

All-inclusive introduction to polydisperse multiphase flows linking theory to practice through numerous real-world examples and MATLAB (R) scripts for key algorithms.  Read more...

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