This work presents the mathematical modelling and simulation of complex pla
te heat exchanger arrangements under milk fouling, using detailed dynamic m
odels. A complex fouling model based on a reaction/mass transfer scheme is
coupled with a general thermal dynamic model of plate heat exchangers. All
the important factors affecting milk heat treatment are formally quantified
. The final model comprises a set of partial differential, integral and alg
ebraic equations. Parameter estimation analysis is performed based on the s
olution of a dynamic optimization problem. The simulation results are in a
good agreement with available experimental work. Three different configurat
ions with complex flow arrangements are considered to illustrate aspects of
fouling behaviour. The simulation results provide significant insight into
the key factors affecting milk fouling. (C) 2000 Elsevier Science Ltd. All
rights reserved.