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Numerical predictions of bubble growth in viscoelastic stretching filaments

K. S Sujatha, Hocine Matallah, M. F Webster, P. R Williams, Michael Webster Orcid Logo, Su Nithiarasu

Rheologica Acta

Swansea University Authors: Hocine Matallah, Michael Webster Orcid Logo, Su Nithiarasu

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DOI (Published version): 10.1007/s00397-010-0493-2

Abstract

In this study, we investigate the growth of bubbles within predominately extensional-deformation flows of thin film stretching form. This involves more than one free-surface to the flow (multiple surfaces), typically as inner (bubble) and outer (filament) boundaries that introduces fluid–gas interfa...

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Published in: Rheologica Acta
Published: Springer Berlin / Heidelberg 2010
Online Access: http://dx.doi.org/10.1007/s00397-010-0493-2
URI: https://cronfa.swan.ac.uk/Record/cronfa12833
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Abstract: In this study, we investigate the growth of bubbles within predominately extensional-deformation flows of thin film stretching form. This involves more than one free-surface to the flow (multiple surfaces), typically as inner (bubble) and outer (filament) boundaries that introduces fluid–gas interfacial treatment. Various bubble initial states and locations may be considered. The problem is discretised in space–time through a hybrid-finite element/volume pressure-correction formulation, coupled with an arbitrary Lagrangian–Eulerian (ALE) coupled with VOF scheme to track domain-mesh and free-surface movement. We contrast these results against the results from a complete ALE algorithm. Various fluid-filament materials have been considered, covering such properties as constant viscosity fluids (Newtonian), low-polymeric/high-solvent viscosity Boger-type (Oldroyd-B) fluids and high-polymeric/low-solvent viscosity elastic-type fluids (Oldroyd-B and Phan-Thien/Tanner). Numerical solutions are presented in terms of comparison between algorithms (ALE versus hybrid ALE/VOF), shapes (bubble shapes, filament shapes), contours of extra-stress (magnitude and location), mid-filament radius and extensional viscosity.
Keywords: Flow modelling - Finite-element analysis - Viscoelastic fluid - Strain hardening
College: Faculty of Science and Engineering