In this paper

the Pontryagin maximum principle is used to solve the mathematical mode) for batch processes of cooling crystallization. On the basis of the function relating the rate of nucleation B and the the rate of crystal growth G to the rate of cooling u as is measured by the batch method

the equation of state

Hamiltonian function

adjoint equations describing the processes are developed. An applied software is established to compute the conditions of optimized control. For the sake of verification of the method mentioned above

experiments with aqueous solutions of (NH4)2SO4 and NaNO2 were conducted in both MSMPR crystallizer of 4L and DTB crystallizer of 700L. The particles of 210 samples were sized by means of Coulter counter. Good agreement between computations and experimentations show that

this software can be applied to design and analysis of operations