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

doi:10.1016/j.jnnfm.2015.12.004

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

Department of Physics

Prifysgol Abertawe | Swansea University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	27-36
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	233
Early online date	31 Dec 2015
DOIs	https://doi.org/10.1016/j.jnnfm.2015.12.004
Publication status	Published - 01 Jul 2016

Keywords

rotating sphere
secondary flow field
Giesekus inertial vortex
hybrid finite element/finite volume scheme
PTT model

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10.1016/j.jnnfm.2015.12.004

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

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 {\textquoteleft}inertial{\textquoteright} secondary flow near the rotating sphere to the well-understood {\textquoteleft}slow-flow{\textquoteright} 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 {\textquoteleft}slow-flow{\textquoteright}, we show that it is possible to predict numerically the inertial vortex observed by Giesekus.",

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AU - Garduño, I. E.

AU - Tamaddon-Jahromi, H. R.

AU - Walters, K.

AU - Webster, M. F.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.

AB - 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.

KW - rotating sphere

KW - secondary flow field

KW - Giesekus inertial vortex

KW - hybrid finite element/finite volume scheme

KW - PTT model

UR - http://hdl.handle.net/2160/43616

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DO - 10.1016/j.jnnfm.2015.12.004

M3 - Article

SN - 0377-0257

VL - 233

SP - 27

EP - 36

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

ER -

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

Abstract

Keywords

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