Optimal Shape Design for Polymer Spin Packs
A shape optimization approach for the design of cavities with a specified wall shear stress profile is presented. Applications are in the design of spin pack geometries with low and homogeneous residence times and without dead spaces to prevent polymer degradation for sensitive materials. Furthermore, a related operator is studied which suggests that the set of attainable wall shear stresses is rather large.
This work was supported by the German Federal Ministry of Education and Research (BMBF) grant no. 03MS606F and by the German Federal Ministry for Economic Affairs and Energy (BMWI) grant no. IGF 17629 N.
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