Please use this identifier to cite or link to this item: doi:10.22028/D291-29968
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Title: Geometric scaling of elastic instabilities in the Taylor–Couette geometry: A theoretical, experimental and numerical study
Author(s): Schäfer, Christof
Morozov, Alexander
Wagner, Christian
Language: English
Title: Journal of non-Newtonian fluid mechanics
Volume: 259
Startpage: 78
Endpage: 90
Publisher/Platform: Elsevier
Year of Publication: 2018
Publikation type: Journal Article
Abstract: We investigate the curvature-dependence of the visco-elastic Taylor–Couette instability. The radius of curvature is changed over almost a decade and the critical Weissenberg numbers of the first linear instability are determined. Experiments are performed with a variety of polymer solutions and the scaling of the critical Weissenberg number with the curvature against the prediction of the Pakdel–McKinley criterion is assessed. We revisit the linear stability analysis based on the Oldroyd-B model and find, surprisingly, that the experimentally observed scaling is not as clearly recovered. We extend the constitutive equation to a two-mode model by incorporating the PTT model into our analysis to reproduce the rheological behaviour of our fluid, but still find no agreement between the linear stability analysis and experiments. We also demonstrate that that conclusion is not altered by the presence of inertia or viscous heating. The Pakdel–McKinley criterion, on the other hand, shows a very good agreement with the data.
DOI of the first publication: 10.1016/j.jnnfm.2018.06.002
URL of the first publication:
Link to this record: hdl:20.500.11880/28356
ISSN: 0377-0257
Date of registration: 22-Nov-2019
Faculty: NT - Naturwissenschaftlich- Technische Fakultät
Department: NT - Physik
Professorship: NT - Prof. Dr. Christian Wagner
Collections:UniBib – Die Universitätsbibliographie

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