Postponing Polymer Processing Instabilities

J. Molenaar

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    In this report a short overview is given of the instabilities that may occur during extrusion of a polymer. For the so—called spurt phenomenon a model is discussed that makes use of the JSO constitutive equation. It is shown that this model lead to a differential-algebraic-integral equation. The structure of the the equations is sketched in terms of time scales. For the stability analysis a new method is proposed that is based on discretization of the integral equation. This approximation reduces the model to a set of (singularly perturbed) ODEs, which can be analysed with standard methods.
    Original languageEnglish
    Title of host publicationProgress in Industrial Mathematics at ECMI 2000
    EditorsAngelo Marcello Anile, Vincenzo Capasso, Antonio Greco
    Place of PublicationBerlin, Heidelberg
    PublisherSpringer
    Pages427-432
    ISBN (Electronic)978-3-662-04784-2
    ISBN (Print)978-3-642-07647-3
    DOIs
    Publication statusPublished - 2002
    Event11th European Conference on Mathematics for Industry, ECMI 2000 - Palermo, Italy
    Duration: 26 Sep 200030 Sep 2000
    Conference number: 11

    Conference

    Conference11th European Conference on Mathematics for Industry, ECMI 2000
    Abbreviated titleECMI
    CountryItaly
    CityPalermo
    Period26/09/0030/09/00

    Keywords

    • Capillary flow
    • Wall slip
    • Slow time scale
    • Fast time scale
    • Extra stress
    • Tensor

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