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Control of Crystallization Processes
Author(s) -
Götz Thomas,
Pinnau Rene,
Struckmeier Jens
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610373
Subject(s) - crystallization , isothermal process , crystallinity , variable (mathematics) , control variable , ordinary differential equation , crystallization of polymers , boundary (topology) , degree (music) , boundary value problem , avrami equation , mathematics , thermodynamics , mathematical optimization , materials science , mathematical analysis , differential equation , physics , chemistry , crystallography , statistics , acoustics
In this paper an optimal control problem for polymer crystallization is investigated. The crystallization is described by a non–isothermal Avrami–Kolmogorov model. The boundary temperature serves as control variable. The cost functional takes the spatial variation of the crystallinity and the final degree of crystallization into account. The resulting boundary control problem for a parabolic equation coupled with two ordinary differential equations is treated by an adjoint variable approach. Numerical simulations are carried out for different scenarios to illustrate the applicability and performance of the optimization algorithm. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)