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Instabilities and constitutive modelling.

Helen J Wilson¹

¹Department of Mathematics, UCL, Gower Street, London WC1E 6BT, UK. helen.wilson@ucl.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|November 9, 2006

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Understanding molten plastic flow instabilities is key to reducing manufacturing defects. This study reveals how constitutive models impact flow stability, offering a path to improved industrial processes and reduced waste.

Area of Science:

Rheology
Polymer processing
Fluid dynamics

Background:

Manufacturing defects and throughput limitations in the plastics industry stem from unstable molten plastic flows.
Understanding the mechanisms of these flow instabilities is crucial for process optimization.
Constitutive relations, which model molten plastic behavior, are selected based on flow characteristics, not typically stability.

Purpose of the Study:

To investigate the relationship between constitutive models and the stability of molten plastic flows.
To identify key properties of constitutive relations that govern flow stability.
To improve the prediction and avoidance of industrial instabilities.

Main Methods:

Analysis of constitutive models for molten plastics.

Related Experiment Videos

Examination of benchmark flow cases.

Assessment of model modifications on steady flow behavior and stability properties.

Main Results:

A minor alteration to a constitutive model, without affecting steady flow, completely eliminated a known instability.
A significant change in a constitutive model's steady flow characteristics resulted in only minor changes to flow stability.

Conclusions:

The choice of constitutive model significantly influences molten plastic flow stability.
Further research can quantify critical constitutive properties for stability prediction.
This understanding can lead to better material selection and improved manufacturing processes, reducing waste.