A comparative numerical study of time-dependent structured fluids in complex flows
This study is concerned with the modelling of thixotropic and viscoelastoplastic material systems, contrasting two approaches in the development of such constitutive models. Accordingly, departure from Oldroyd-B-like behaviour is engineered through, first, a new micellar viscoelastic–thixotropic mod...
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Veröffentlicht in: | Rheologica acta 2016-03, Vol.55 (3), p.197-214 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | This study is concerned with the modelling of thixotropic and viscoelastoplastic material systems, contrasting two approaches in the development of such constitutive models. Accordingly, departure from Oldroyd-B-like behaviour is engineered through, first, a new micellar viscoelastic–thixotropic model (
NM
_
τ
p
_
ABS
), under the Bautista–Manero framework, and second, a De Souza model. This
NM
_
τ
p
_
ABS
model, is based on the
energy dissipated
by a micellar material to change its internal structure, whilst equivalently, the De Souza model employs the
second invariant of stress
. These models are compared and contrasted in their response through counterpart numerical solutions for axisymmetric contraction–expansion flow. Here, solution features of yielded–unyielded regions, total pressure drop, stress fields and vortex dynamics are analysed under scaling based on the
second
-
Newtonian viscosity
-
plateau
(
η
s
). With the
NM_τ
p
_ABS
model, yield-stress features are identified through solvent-fraction
β
-variation. In contrast, for the De Souza model, counterpart yield-stress features are exposed through yield-stress
τ
0
d
-variation. With either yield-stress increase or rise in elasticity,
NM_τ
p
_ABS
solution response appears
symmetrical
about the contraction-plane axis, whilst
De Souza
patterns prove
asymmetrical
. Under solvent-fraction
decrease
,
NM_τ
p
_ABS
response provides yielded-region shrinkage, upstream and downstream vortex suppression, and non-zero
N
1
-region growth. Moreover, under
elasticity rise
, fading non-zero
N
1
-regions, size-invariant yield-fronts and non-zero
N
1
-regions are observed. In contrast under
τ
0
d
increase or rise in
elasticity
,
De Souza
solutions manifest enhancement in vortex activity, and non-zero
N
1
-region-intensification and expansion. Furthermore,
τ
0
d
-rise provokes De Souza yielded-region shrinkage, whilst elasticity does the opposite. On total pressure drop (
Δp
), for
NM_τ
p
_
ABS
and with polymeric-fraction increase at fixed
Wi
, both monotonic rise at low-
Wi
and decline at higher-
Wi
are gathered. In contrast, only a monotonic rising trend is recorded with
De Souza
Δp
-solutions for fixed
Wi
under
τ
0
d
-rise. Furthermore, with
Wi
-rise and at any fixed
τ
0eff
-level, both models concur in a declining
Δp
-trend. |
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ISSN: | 0035-4511 1435-1528 |
DOI: | 10.1007/s00397-015-0908-1 |