University of Missouri - Columbia University of Missouri - Columbia
Computational Analysis and Design Laboratory
University of Missouri -Columbia Computational Analysis and Design Laboratory University of Missouri - Columbia
Incorporating Fluid-Structure Interaction in the Optimization-Based Design of Polymer Sheeting Dies

Computational Procedure of Die Design Optimization with Coupled Fluid-Structure Interaction Analysis The die design approach developed here enhances previous design methodologies by incorporating the polymer melt flow analysis and a 3-D die deformation analysis in an optimization-based design procedure. In this work, both polymer melt flow and sheeting die deformation are analyzed with the general purpose finite element program ABAQUS. The approach includes a user-defined element that is used to evaluate the purely viscous non-Newtonian flow in a flat die. The generalized Hele-Shaw flow equation for an isothermal Carreau-Yasuda fluid is used to obtain the pressure field on the internal surface of the die body. Die deformation is also analyzed with ABAQUS. In addition, shape optimization of a polymer sheeting die is performed by incorporating the coupled analyses in the VRAND SQP constrained optimization algorithm.

The die design example shown here illustrates our design methodology where the pressure drop across the die is minimized with a constraint on exit flow rate uniformity. The die cavity half-height within a coat-hanger die is adjusted to achieve the best die cavity shape while considering the effect of die cavity deformation. Die deformations as high as 13% of the gap height are computed which have a significant effect on melt flow and the optimal die geometry.

Displacement Magnitude of Die Body
Displacement Magnitude of Die Body (Deformation Scale Factor: 336)

Die Cavity Half-Height Distributions
Die Cavity Half-Height Distribution

Exit flow rate for coat hanger die design
Exit flow rate for coat hanger die design

Selected Publications

An Analysis of Fluid-Structure Interaction in the Optimization-Based Design of Polymer Sheeting Dies. Q. Wang and D.E. Smith. Manuscript under review in Journal of Applied Polymer Science, July 2006.

Incorporating Fluid-Structure Interaction in the Optimization-Based Design of Polymer Sheeting Dies, Q. Wang and D.E. Smith. Accepted for publication in 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, VA, September 2006.

Incorporating Fluid-Structure Interaction in the Analysis of Polymer Sheeting Die. Q. Wang and D.E. Smith. SPE ANTEC Tech. Papers, Charlotte, NC, May 2006.

Contributing Researchers
  Qi Wang   Douglas E. Smith  
Sources of Funding
  • U.S. National Science Foundation
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