8 Flowsheet Simulation of Integrated Precipitation Processes
299
Fig. 14 Comparison
between the numerical
results and experimentally
determined particle sizes for
CdSe and CdSe@ZnS
quantum dots. Experimental
data was obtained from [39]
7.6 Property Optimization: ZnO Quantum Dots
In cooperation with our colleague Lukas Pflug from the institute of applied mathematics a numerical scheme for modelling ZnO QD ripening was established and
employed to optimize the ZnO QD formation in a batch and in a continuous microreactor [9]. In general, optimization in particle technology can be applied to various
aspects of precipitation:
• Model-based determination of otherwise difficult-to-measure particle variables,
e.g. surface energy, intermediate phases or highly transient phenomena.
• Optimization of process variables to ensure preferred product properties.
• Optimization of particle property distributions.
The optimization of material composition has previously been done at our institute
during a study on the estimation of material parameters for multiphase, multicomponent precipitation modeling [34]. In this study, the simultaneous precipitation of
multiple phases inside a T-mixer was investigated with the present model. An optimization study allowed predicting the phase composition of the solid product of a
simultaneous precipitation of BaSO 4 and BaCO 3 inside a T-mixer. In the present
study, the preferred precipitation of one solid product was achieved by adjusting
the pH by a free parameter optimization [2]. The model is capable of predicting
experimental results proving the effectiveness of this method.
In Chap. 7.2, we demonstrated the generation of self-similar PSDs, which makes
classical optimization rather difficult [9]. Therefore, a three-step process to control the PSD was developed (see Fig. 15a). Using the colloidal dispersion A with
a monomodal distribution, the monomodal distribution B is grown. An additional
part of dispersion A is then mixed with dispersion B to yield a bimodal distribution C. Afterwards, additional growth and ripening of solution C leads to the final
monomodal distribution D.
In total 5 process parameters are available for optimization: temperature, ripening
time in steps 1 and 3 and mixing ratio in step 2. In the first step, time and temperature
are dependent and can be reduced to one variable to accelerate optimization. Setting
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