TY - JOUR
T1 - The interpretation of a long-standing rheological flow problem using computational rheology and a PTT constitutive model
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
U2 - 10.1016/j.jnnfm.2015.12.004
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 -