Torsional flow stability of highly dilute polymer solutions

We examine the torsional flow stability, to axisymmetric disturbances, of a variety of multimode and non-linear constitutive models in a bounded parallel plate geometry. The analysis is facilitated by the construction of a regular perturbation scheme in the ratio of polymer to total viscosity. As a...

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Bibliographic Details
Published inJournal of non-Newtonian fluid mechanics Vol. 84; no. 1; pp. 19 - 44
Main Authors Avagliano, Aaron, Phan-Thien, Nhan
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 31.07.1999
Elsevier
Subjects
Boger fluid
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Instability of shear flows
Non-newtonian fluid flows
Physics
Shear thinning
Torsional flow
Viscosity
Viscosity
Torsional flow
Boger fluid
Shear thinning
Viscoelastic fluid
Shear flow
Oldroyd fluid
Non-Newtonian fluids
Shear viscosity
Dilute solution
Linear stability
Modelling
Polymers
Rheometer
Pseudoplastic fluid
Parallel plate
Rheological properties
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Summary:We examine the torsional flow stability, to axisymmetric disturbances, of a variety of multimode and non-linear constitutive models in a bounded parallel plate geometry. The analysis is facilitated by the construction of a regular perturbation scheme in the ratio of polymer to total viscosity. As a model for Boger fluids this corresponds to the assumption that the Boger fluid is highly dilute. The consequent simplification provided by the perturbation scheme allows us to examine the effects of a discrete spectrum of relaxation times, shear thinning, second normal stress difference, and finite extensional viscosity on the torsional instability.
ISSN:0377-0257
1873-2631
DOI:10.1016/S0377-0257(98)00147-5