Optimal Control of Melt Spinning Processes

  • An optimal control problem for a mathematical model of a melt spinning process is considered. Newtonian and non--Newtonian models are used to describe the rheology of the polymeric material, the fiber is made of. The extrusion velocity of the polymer at the spinneret as well as the velocity and temperature of the quench air serve as control variables. A constrained optimization problem is derived and the first--order optimality system is set up to obtain the adjoint equations. Numerical solutions are carried out using a steepest descent algorithm.

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Author:Thomas Götz, Shyam Perera
URN (permanent link):urn:nbn:de:hbz:386-kluedo-15163
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (274)
Document Type:Preprint
Language of publication:English
Year of Completion:2008
Year of Publication:2008
Publishing Institute:Technische Universität Kaiserslautern
Tag:Adjoint system; Fiber spinning ; First--order optimality system ; Optimal control
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):65K10 Optimization and variational techniques [See also 49Mxx, 93B40]
76D55 Flow control and optimization [See also 49Q10, 93C20, 93C95]

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