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R. Bird, G. Dai, Barbara Yarusso (1983)
The Rheology and Flow of Viscoplastic MaterialsReviews in Chemical Engineering, 1
T. Zisis, E. Mitsoulis (2002)
Viscoplastic flow around a cylinder kept between parallel platesJournal of Non-newtonian Fluid Mechanics, 105
M. Nicosia, J. Robbins (2001)
The fluid mechanics of bolus ejection from the oral cavity.Journal of biomechanics, 34 12
E. Fox, V. Gex (1956)
Single‐phase blending of liquidsAiche Journal, 2
J. Kan (1986)
A second-order accurate pressure correction scheme for viscous incompressible flowSiam Journal on Scientific and Statistical Computing, 7
S. Ao, M. Amouzegar, Su-shing Chen (2008)
World Congress on Engineering and Computer Science
M. Rudman, H. Blackburn, L. Graham, L. Pullum (2004)
Turbulent pipe flow of shear-thinning fluidsJournal of Non-newtonian Fluid Mechanics, 118
K. Sendilkumar, P. Kalaichelvi, M. Perumalsamy, A. Arunagiri, T. Raja (2007)
Computational Fluid Dynamic Analysis of Mixing Characteristics inside a Jet Mixer for Newtonian and Non Newtonian Fluids
M. Nicosia, J. Brasseur (2002)
A mathematical model for estimating muscle tension in vivo during esophageal bolus transport.Journal of theoretical biology, 219 2
A. Afonso, M. Alves, R. Poole, P. Oliveira, F. Pinho (2011)
Viscoelastic flows in mixing-separating cellsJournal of Engineering Mathematics, 71
S. Abdali, E. Mitsoulis, N. Markatos (1992)
Entry and exit flows of Bingham fluidsJournal of Rheology, 36
D. Piotrowski, C. Cierniewski (1982)
[Introduction to rheology].Acta haematologica Polonica, 13 3-4
K. Walters, M. Webster (1982)
On dominating elastico-viscous response in some complex flowsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 308
A. Alexandrou, P. Menn, G. Georgiou, V. Entov (2003)
Flow instabilities of Herschel–Bulkley fluidsJournal of Non-newtonian Fluid Mechanics, 116
Y. Béreaux, J. Clermont (1995)
Numerical simulation of complex flows of non‐Newtonian fluids using the stream tube method and memory integral constitutive equationsInternational Journal for Numerical Methods in Fluids, 21
P. Townsend, M. Webster (1987)
An Algorithm for the Three-Dimensional Transient Simulation of Non-Newtonian Fluid Flows
M. Nicosia (2007)
A planar finite element model of bolus containment in the oral cavityComputers in biology and medicine, 37 10
A. Baloch, P. Townsend, M. Webster (1995)
On two- and three-dimensional expansion flowsComputers & Fluids, 24
J. Donea (1983)
A Taylor–Galerkin method for convective transport problemsInternational Journal for Numerical Methods in Engineering, 20
H. Zhu, Y. Kim, D. Kee (2005)
Non-Newtonian fluids with a yield stressJournal of Non-newtonian Fluid Mechanics, 129
D. Hawken, H. Tamaddon-Jahromi, P. Townsend, M. Webster (1990)
A Taylor–Galerkin‐based algorithm for viscous incompressible flowInternational Journal for Numerical Methods in Fluids, 10
R. Tanner, K. Walters (1998)
Rheology : an historical perspective
R. Chhabra (1999)
Chapter 8 – Liquid mixing
R. Tanner, R. Rivlin (2008)
Engineering Rheology
A. Baloch, P. Townsend, M. Webster (1995)
On the simulation of highly elastic complex flowsJournal of Non-newtonian Fluid Mechanics, 59
M. Marouche, D. Anne-Archard, H. Boisson (2002)
A Numerical Model of Yield Stress Fluid Dynamics in a Mixing VesselApplied Rheology, 12
E. Bingham
Fluidity And Plasticity
Frédéric Savreux, P. Jay, A. Magnin (2007)
Viscoplastic fluid mixing in a rotating tankChemical Engineering Science, 62
T. Papanastasiou (1987)
Flows of Materials with YieldJournal of Rheology, 31
H. Barnes, J. Hutton, K. Walters (1989)
An introduction to rheology
S. Jayanti (2001)
Hydrodynamics of jet mixing in vesselsChemical Engineering Science, 56
A. Alexandrou, Timothy McGilvreay, Gilmer Burgos (2001)
Steady Herschel–Bulkley fluid flow in three-dimensional expansionsJournal of Non-newtonian Fluid Mechanics, 100
(2001)
Brasseaur, J.G.: A mathematical model for estimating muscle tension in vivo
T. Cochrane, K. Walters, M. Webster (1981)
On Newtonian and non-Newtonian flow in complex geometriesPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 301
Combining and separating incompressible flow of Newtonian and inelastic Herschel–Bulkley fluids is studied numerically employing a semi-implicit Taylor–Galerkin pressure-correction algorithm, where steady solutions are obtained through a transient finite element procedure. The influence of inertia and fluid rheology is analysed on flow patterns, velocity fields and pressure drops for various flow configurations, with fixed geometric gap width that stimulates the merging and splitting in the flow. For Newtonian fluids and at larger levels of inertia, the appearance of vortices was observed, with an increase in velocity differences and pressure drops across the channel. In this case, the numerical procedure was verified with good agreement against previous numerical and experimental observations. To extend the consideration to non-Newtonian inelastic materials, the material rheological characteristics were approximated with the use of the Herschel–Bulkley fluid model, incorporating the Ostwald–de Waele power-law model and viscoplastic yield stress. Findings for unyielded power-law fluids reveal slight increase in the size of the vortices as power index ( m ) was decreased. Variation of the consistency index ( k ) shows strong influence on the streamline patterns with a rapid increase in the vortex formation as k was decreased. For Bingham model solutions, devoid of shear-thinning and increasing yield stress, a higher value of Reynolds number is required for equivalent levels of vortex formation; also one observes the appearance of yielded and unyielded regions. Under Herschel–Bulkley modelling, there was little change noted in the kinematics, but some was apparent in rheological response. Once more, observations reveal the tendency to eliminate vortices at larger yield stress levels, with the appearance of unyielded regions.
Mechanics of Time-Dependent Materials – Springer Journals
Published: Nov 1, 2011
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