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.

Metadaten
Author:	Thomas Götz, Shyam Perera
URN:	urn:nbn:de:hbz:386-kluedo-15163
Series (Serial Number):	Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (274)
Document Type:	Preprint
Language of publication:	English
Year of Completion:	2008
Year of first Publication:	2008
Publishing Institution:	Technische Universität Kaiserslautern
Date of the Publication (Server):	2008/01/20
Tag:	Adjoint system; Fiber spinning; First--order optimality system; Optimal control
Faculties / Organisational entities:	Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:	5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):	65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K10 Optimization and variational techniques [See also 49Mxx, 93B40]
	76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Dxx Incompressible viscous fluids / 76D55 Flow control and optimization [See also 49Q10, 93C20, 93C95]
Licence (German):	Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011