DFG
FAU Erlangen-Nuremberg

Optimization of Particle Synthesis

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Project leaders

Lehrstuhl für Angewandte Mathematik II
Uni Erlangen

Tel: 09131 85-67135
Fax: 09131 85-67134

Email: leugering@am.uni-erlangen.de

Homepage: http://www.am.uni-erlangen.de/home/leugering/index_de.htm


Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik
Uni Erlangen

Tel: 09131 85-29400
Fax: 09131 85-29402

Email: wolfgang.peukert@cbi.uni-erlangen.de

Homepage:


Additional applicant of the first funding period

Mechanische Verfahrenstechnik und Umweltverfahrenstechnik
Uni Paderborn

Tel: 05251 60-2410
Fax: 05251 60-3207

Email: hans-joachim.schmid@upb.de

Homepage:


DFG funded assistant

Michael Gröschel (Uni Erlangen)
michael.groeschel@am.uni-erlangen.de

Description

Precipitation and crystallisation are widespread processes in industry for the production of nanoparticles. These promising methods for the economical production of huge amounts of particles are fast and operable at ambient temperatures. Many properties of solid particles do not only depend on the materials’ bulk properties but also on particle size, shape, structure and state of dispersion. Especially nanosized particles show very interesting properties resulting in a wide and strongly growing range of applications, e.g. as pigments, pharmaceuticals, cosmetics, ceramics, catalysts, coating and filling materials. Since the desired product properties might vary with size, the control of the particle size distribution and of particle structure during production is a key criterion to product quality. New and improved products can thus be designed by adjusting and optimizing particle size, shape and structure.

During the process the evolution of the particle size distributions under the influence of mixing and supersaturation has to be adjusted in order to improve the product properties. Population balance equations (PBE) represent the state-of-the-art for the modelling of polydisperse particulate processes. The PBE can be derived from the fundamental balance equation of continuum mechanics which assumes the continuous distribution of matter in space and time. However, instead of balancing the density or the momentum, the PBE is used to simulate the population dynamics of an entity by describing the evolution of their number density distribution. Describing the occurring phenomena like nucleation, growth and agglomeration leads to a nonlinear integro-differential equation, on which we will focus in this project. In general the optimal control of hyperbolic equations in the context of reactor dynamics put forward many open questions.

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