Numerical Simulation of the Film Casting Process
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M. Beaulne
Abstract
Numerical simulations have been undertaken for the film-casting process with viscoelastic fluids. Viscoelasticity is described by an integral constitutive equation of the K-BKZ type with a spectrum of relaxation times, which fits well experimental data for shear and extensional viscosities and the normal stresses measured in shear flow. Non-isothermal conditions are considered by applying the Morland-Lee hypothesis, which incorporates the appropriate shift factor and pseudo-time into the constitutive equation. A one-dimensional model derived from the conservation of momentum is used to approximate the thickness, while the stress free-surface condition is used to approximate the width. The resulting system of differential equations is solved using the finite element method and the Newton-Raphson iterative scheme. The method of solution was first checked against the Newtonian and Maxwell results for different film geometries. The simulations are compared to available experimental data and previous simulations in terms of film thickness, film width, and film temperature. Agreement between the experiments and the current simulations is considered good with subtle differences. Agreement is also considered good between the current one-dimensional simulations and previous two-dimensional simulations for viscoelastic fluids, in terms of width and thickness. The one-dimensional model is advantageous since the algorithm is relatively simple, convergence is almost guaranteed, and the computing time is short.
© 1999, Carl Hanser Verlag, Munich
Artikel in diesem Heft
- Editorial
- In Memory of Carl Klason (1938–1997)
- Mixing/Screw Extrusion
- Structuring of Interface-modified Polymer Blends
- Mixing Homologous High Viscosity Ratio Polymer Blends in Converging Flow
- The Effect of Miscibility on Rheological and Mechanical Properties of PCL/SAN Blends
- Effect of Twin-Screw Extruder Design and Process Conditions on Ultrafine CaCO3 Dispersion into PP
- Characterization of the Behavior and Blending Performance of a Continuous Mixer
- Die Extrusion
- Profile Die Design Based on Flow Balancing
- Capillary Flow of Hard-Metal Carbide Powder Compounds
- Fiber/Film
- Numerical Simulation of the Film Casting Process
- Molding
- Breakage and Buckling of Fibrous Reinforcements During Fabrication of Thermoplastic Matrix Composites
- Long Glass Fibre Reinforcement of Thermo Plastics
- Fitting of K-BKZ Model Parameters for the Simulation of Thermoforming
- Tensile Damage in Ternary Melamine-Formaldehyde Composites
Artikel in diesem Heft
- Editorial
- In Memory of Carl Klason (1938–1997)
- Mixing/Screw Extrusion
- Structuring of Interface-modified Polymer Blends
- Mixing Homologous High Viscosity Ratio Polymer Blends in Converging Flow
- The Effect of Miscibility on Rheological and Mechanical Properties of PCL/SAN Blends
- Effect of Twin-Screw Extruder Design and Process Conditions on Ultrafine CaCO3 Dispersion into PP
- Characterization of the Behavior and Blending Performance of a Continuous Mixer
- Die Extrusion
- Profile Die Design Based on Flow Balancing
- Capillary Flow of Hard-Metal Carbide Powder Compounds
- Fiber/Film
- Numerical Simulation of the Film Casting Process
- Molding
- Breakage and Buckling of Fibrous Reinforcements During Fabrication of Thermoplastic Matrix Composites
- Long Glass Fibre Reinforcement of Thermo Plastics
- Fitting of K-BKZ Model Parameters for the Simulation of Thermoforming
- Tensile Damage in Ternary Melamine-Formaldehyde Composites
