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Shape design for polymer spin packs: Modeling, optimization and validation

: Leithäuser, Christian; Pinnau, René; Feßler, Robert

Volltext ()

Journal of Mathematics in Industry 8 (2018), Art. 13, 17 S.
ISSN: 2190-5983
Zeitschriftenaufsatz, Elektronische Publikation
Fraunhofer ITWM ()

A shape optimization approach for the design of cavities with a specified wall shear stress profile is presented. Applications are the design of spin pack geometries with low and uniform residence times and without dead spaces to prevent polymer degradation for sensitive materials. The optimization uses a Surrogate Model based on the Newtonian Stokes equation as a simplification. An indirect objective based on wall shear stress is used to improve the residence time. The results are then validated on a realistic spin pack with the Full Model based on the non-Newtonian Navier–Stokes equation.