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The interpretation of a long-standing rheological flow problem using computational rheology and a PTT constitutive model

I.E. Garduño, H.R. Tamaddon-Jahromi, K. Walters, M.F. Webster, Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi

Journal of Non-Newtonian Fluid Mechanics

Swansea University Authors: Michael Webster Orcid Logo, Hamid Tamaddon-Jahromi

DOI (Published version): 10.1016/j.jnnfm.2015.12.004

Abstract

Modern Computational Rheology techniques are used to interpret an experimental observation, which has remained unresolved for over four decades. The simple flow in question involved the rotation of a solid sphere in an infinite expanse of non-Newtonian elastic liquid. Under some conditions, Giesekus...

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Published in: Journal of Non-Newtonian Fluid Mechanics
Published: 2015
URI: https://cronfa.swan.ac.uk/Record/cronfa26481
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Abstract: Modern Computational Rheology techniques are used to interpret an experimental observation, which has remained unresolved for over four decades. The simple flow in question involved the rotation of a solid sphere in an infinite expanse of non-Newtonian elastic liquid. Under some conditions, Giesekus observed an interesting secondary flow. This added an ‘inertial’ secondary flow near the rotating sphere to the well-understood ‘slow-flow’ features observed and predicted by others in the 1960s. By employing a Phan-Thien/Tanner (PTT) constitutive model and moving away from the restriction of ‘slow-flow’, we show that it is possible to predict numerically the inertial vortex observed by Giesekus.
Keywords: Rotating sphere, secondary flow field, Giesekus inertial vortex, hybrid finite element/finite volume scheme, PTT model
College: Faculty of Science and Engineering