Problem Statement 1. Early Film Breakage 2. Draw Resonance Air Gap Width Die Web Chill Roll Off-Set Thickness
Project Goal Design and implement a method for analysis of stability of the film casting process Determine the tolerance values of system parameters to keep the process stable Reference: Silagy, D. et.al., Study of the Stability of the Film Casting Process, Polymer Engineering and Science, 36, no.21, 1996.
Assumptions Velocity (u)Velocity (u) Length (X)Length (X) Polymer flow:Polymer flow: –Isothermal –Elongational Inertia, gravity, and surface tension are neglectedInertia, gravity, and surface tension are neglected Kinematics Hypothesis (Silagy)Kinematics Hypothesis (Silagy) –membrane approximation –1D model Coordinates (x,y,z)Coordinates (x,y,z) Width (L)Width (L) Thickness (e)Thickness (e) Reference: Reference: Silagy, D. et.al., Study of the Stability of the Film Casting Process, Polymer Engineering and Science, 36, no.21, 1996.
Conclusions A numerical algorithm for the resolution of linear stability analysis was developed It shows excellent performance (precision, low calculation time) The material rheological model explains the stabilization effect of LDPE The algorithm can be applied to other similarly mathematical described processes.
Acknowledgment Angela Sembiring (TU/e) Hong Xu (TU/e) Andriy Rychahyvskyy (TU/e) Jerome Claracq (Dow) Stef van Eijndhoven (TU/e)