Optimization-based design of polymer sheeting dies using generalized Newtonian fluid models

@article{citeulike:1940939, abstract = {A polymer sheeting die design methodology is presented, which integrates finite element flow simulations, numerical optimization, and design sensitivity analyses to compute die cavity geometries capable of giving a near-uniform exit velocity. This work extends earlier die design methods to include generalized Newtonian fluid (GNF) models that represent the shear-thinning behavior of polymer melt. Melt flow computations and design sensitivity analyses are provided using the generalized Hele-Shaw flow approximation with isothermal power-law, Carreau-Yasuda, Cross, Ellis, and Bingham fluid models. The nonlinear equations for die cavity pressure are solved using the Newton-Raphson iteration method and design sensitivities are derived with the adjoint variable method. The die design method is applied to an industrial coat hanger die, in which a design parameterization is defined that allows for an arbitrary gap height distribution in the manifold of the die. In addition, die performance is assessed and compared for power-law and Carreau-Yasuda fluid flow over a range of die operating conditions. Pareto optimal die designs are also considered in this study. POLYM. ENG. SCI., 45:953-965, 2005. {\copyright} 2005 Society of Plastics Engineers}, address = {University of Missouri-Columbia, E2411 EBE / MAE Department, Columbia, Missouri 65211}, author = {Smith, Douglas E. and Wang, Qi }, citeulike-article-id = {1940939}, doi = {http://dx.doi.org/10.1002/pen.20347}, journal = {Polymer Engineering \& Science}, keywords = {list\_kajiwara}, number = {7}, pages = {953--965}, posted-at = {2007-11-20 02:47:23}, priority = {2}, title = {Optimization-based design of polymer sheeting dies using generalized Newtonian fluid models}, url = {http://dx.doi.org/10.1002/pen.20347}, volume = {45}, year = {2005} }

TY - JOUR ID - citeulike:1940939 L3 - citeulike-article-id:1940939 TI - Optimization-based design of polymer sheeting dies using generalized Newtonian fluid models JF - Polymer Engineering & Science VL - 45 IS - 7 SP - 953 EP - 965 AD - University of Missouri-Columbia, E2411 EBE / MAE Department, Columbia, Missouri 65211 N2 - A polymer sheeting die design methodology is presented, which integrates finite element flow simulations, numerical optimization, and design sensitivity analyses to compute die cavity geometries capable of giving a near-uniform exit velocity. This work extends earlier die design methods to include generalized Newtonian fluid (GNF) models that represent the shear-thinning behavior of polymer melt. Melt flow computations and design sensitivity analyses are provided using the generalized Hele-Shaw flow approximation with isothermal power-law, Carreau-Yasuda, Cross, Ellis, and Bingham fluid models. The nonlinear equations for die cavity pressure are solved using the Newton-Raphson iteration method and design sensitivities are derived with the adjoint variable method. The die design method is applied to an industrial coat hanger die, in which a design parameterization is defined that allows for an arbitrary gap height distribution in the manifold of the die. In addition, die performance is assessed and compared for power-law and Carreau-Yasuda fluid flow over a range of die operating conditions. Pareto optimal die designs are also considered in this study. POLYM. ENG. SCI., 45:953-965, 2005. © 2005 Society of Plastics Engineers KW - list_kajiwara AU - Smith, Douglas AU - Wang, Qi PY - 2005/// UR - http://dx.doi.org/10.1002/pen.20347 ER -