## 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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Verfasserangaben: Thomas Götz, Shyam Perera urn:nbn:de:hbz:386-kluedo-15163 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (274) Preprint Englisch 2008 2008 Technische Universität Kaiserslautern 20.01.2008 Adjoint system; Fiber spinning ; First--order optimality system ; Optimal control Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 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] Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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