Control of Nanoparticle Growth in High Temperature Reactor: Application of Reduced Population Balance Model
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American Scientific Publishers
Abstract
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Aerosol processes often are modeled using the population balance equation (PBE). This article
presents a study on the simulation of particle size distribution during nanoparticle growth with
simultaneous chemical reaction, nucleation, condensation and coagulation. The method used to
reduce the population balance model is the method of moments. Under the assumption of lognormal
aerosol size distribution, the method of moments was employed to reduce the original model
into a set of first-order ODE’s (ordinary differential equations) that accurately reproduce important
dynamics of aerosol process. The objective of this study is to investigate if we can use the reduced
population balance model for the control of nanoparticle size distribution. The numerical result
shows there is a dependence of the average particle diameter on the wall temperatures and the
model can thus be used as a basis to synthesize a feedback controller where manipulated variable
is the wall temperature of the reactor and the control variable the aerosol size distribution at the
outlet of the reactor.
Keywords
TP Chemical technology