This work focuses on the modeling, simulation and control of particle size distribution (PSD) during
nanoparticle growth with the simultaneous chemical reaction, nucleation, condensation, coagulation and
convective transport in a high temperature reactor. Firstly, a model known as population balance model
was derived. This model describes the formation of particles via nucleation and growth. Mass and energy
balances in the reactor were presented in order to study the effect of particle size distribution for each
reaction mechanisms on the reactor dynamics, as well as the evolution of the concentrations of species and
temperature of the continuous phase. The models were simulated to see whether the reduced population
balance can be used to control the particle size distribution in the high temperature reactor. The simulation
results from the above model demonstrated that the reduced population balance can be effectively
used to control the PSD. The proposed method “which is the application of reduced population balance
model” shows that there is some dependence of the average particle diameter on the wall temperature
and the model can thus be used as a basis to synthesize a feedback controller where the manipulated
variable is the wall temperature of the reactor and the control variable is the average particle diameter at
the outlet of the reactor. The infl uence of disturbances on the average particle diameter was investigated
and controlled to its new desired set point which is 1400nm using the proportional-integral-derivative
controllers (PID controllers). The proposed model was used to control nanoparticle size distribution at
the outlet of the reactor