Lagrangian Finite Element Method for 3D time-dependent viscoelastic flow computation using integral constitutive models

Henrik Koblitz Rasmussen

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    Abstract

    A new technique for the numerical 3D simulation of time dependent flow of viscoelastic fluid is presented. The technique is based on a Lagrangian kinematics description of the fluid flow. The fluid is described by the Rivlin Sawyer integral constitutive equation. The method (referred to as the 3D Lagrangian Integral Method) is a finite element method where Galerkons method is used for solving the governing equation in rectangular coordinates numerically. In the present implementation the velocity and pressure fields are approximated with tri-linear and constant shape functions, respectivly.The 3D LIM has as yet been used to simulate the following two three-dimensional problems. First, the method has been used to simulate the viscoelastic end-plate instability that occurs under certain conditions in the transient filament strecting apparatus for pressure sensitive adhesives (polymeric melts) and polymeric solutions. Secondly, the 3D-LIM has also been applied to calculate the inflation of a thick sheet of a polymeric melt into a elliptic cylinder. These problems all include free surfaces. As the governing equations are solved for the particle positions, the motion of surfaces can be followed easily even in 3D viscoelastic flows.
    Original languageEnglish
    Title of host publicationProceedings of the XIIIth International Congress on Rheology, Volume 2
    Place of PublicationGlasgow, UK
    PublisherBritish Society of Rheology
    Publication date2000
    Pages178-180
    Publication statusPublished - 2000
    EventXIII International Congress on Rheology - Cambridge, United Kingdom
    Duration: 20 Aug 200025 Aug 2000
    Conference number: 13

    Conference

    ConferenceXIII International Congress on Rheology
    Number13
    CountryUnited Kingdom
    CityCambridge
    Period20/08/200025/08/2000

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