Chapter 8
Flowsheet Simulation of Integrated
Precipitation Processes
Mark Michaud, Michael Haderlein, Doris Segets, and Wolfgang Peukert
Abstract This work presents the fundamentals and exemplary applications of a
generalized model for precipitation, aggregation and ripening processes including
the formation of solid phases with two dimensions. The particle formation is governed by a widely applicable population balance approach. Solid formation processes
are described via the numerically efficient Direct Quadrature Method of Moments
(DQMOM), which can calculate the evolution of multiple solid phases simultaneously. The particle size distribution (PSD) is approximated by a summation of delta
functions while the moment source term is approximated by a two-point quadrature. The moments to calculate the multivariate distributions are chosen carefully to
represent the second order moments. Solid formation is based on the model of Haderlein et al. (2017) and is extended by a multidimensional aggregation model. Now,
the influences of mixing, complex hydrochemistry and particle formation dynamics
including nucleation, growth and aggregation on multiphase precipitation processes
are modelled and simulated along independent dimensions with high efficiency.
Nomenclature
A
Fraction of zone in mixing model [–]
A
Fraction of zone in mixing model [–]
B
Fraction of zone in mixing model [–]
B
Fraction of zone in mixing model [–]
B Hom
Homogeneous nucleation rate [1/(m
3 *s)]
M. Michaud · M. Haderlein · W. Peukert (B)
Institute of Particle Technology, Friedrich-Alexander-Universität
Erlangen-Nürnberg, Erlangen, Germany
e-mail: wolfgang.peukert@fau.de
D. Segets
Process Technology for Electrochemical Functional Materials, Institute for Combustion and Gas
Dynamics - Reactive Fluids (IVG-RF), and Center for Nanointegration Duisburg-Essen
(CENIDE), Essen, Germany
e-mail: doris.segets@uni-due.de
© Springer Nature Switzerland AG 2020
S. Heinrich (ed.), Dynamic Flowsheet Simulation of Solids Processes,
https://doi.org/10.1007/978-3-030-45168-4_8
269
Flowsheet Simulation of Integrated
Precipitation Processes
Mark Michaud, Michael Haderlein, Doris Segets, and Wolfgang Peukert
Abstract This work presents the fundamentals and exemplary applications of a
generalized model for precipitation, aggregation and ripening processes including
the formation of solid phases with two dimensions. The particle formation is governed by a widely applicable population balance approach. Solid formation processes
are described via the numerically efficient Direct Quadrature Method of Moments
(DQMOM), which can calculate the evolution of multiple solid phases simultaneously. The particle size distribution (PSD) is approximated by a summation of delta
functions while the moment source term is approximated by a two-point quadrature. The moments to calculate the multivariate distributions are chosen carefully to
represent the second order moments. Solid formation is based on the model of Haderlein et al. (2017) and is extended by a multidimensional aggregation model. Now,
the influences of mixing, complex hydrochemistry and particle formation dynamics
including nucleation, growth and aggregation on multiphase precipitation processes
are modelled and simulated along independent dimensions with high efficiency.
Nomenclature
A
Fraction of zone in mixing model [–]
A
Fraction of zone in mixing model [–]
B
Fraction of zone in mixing model [–]
B
Fraction of zone in mixing model [–]
B Hom
Homogeneous nucleation rate [1/(m
3 *s)]
M. Michaud · M. Haderlein · W. Peukert (B)
Institute of Particle Technology, Friedrich-Alexander-Universität
Erlangen-Nürnberg, Erlangen, Germany
e-mail: wolfgang.peukert@fau.de
D. Segets
Process Technology for Electrochemical Functional Materials, Institute for Combustion and Gas
Dynamics - Reactive Fluids (IVG-RF), and Center for Nanointegration Duisburg-Essen
(CENIDE), Essen, Germany
e-mail: doris.segets@uni-due.de
© Springer Nature Switzerland AG 2020
S. Heinrich (ed.), Dynamic Flowsheet Simulation of Solids Processes,
https://doi.org/10.1007/978-3-030-45168-4_8
269