Torsional flow stability of highly dilute polymer solutions

Journal of Non-Newtonian Fluid Mechanics

Volumn 84, Issue 1, 1999, Pages 19-44

  Avagliano, Aaron ^a   Phan Thien, Nhan ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Boger fluid; Shear thinning; Torsional flow; Viscosity

Indexed keywords

MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; POLYMERS; SOLUTIONS; VISCOSITY OF LIQUIDS;

BOGER FLUIDS; HIGHLY DILUTE POLYMER SOLUTIONS; SHEAR THINNING; TORSIONAL FLOW;

NON NEWTONIAN LIQUIDS;

FLOW STABILITY; POLYMER; SHEAR THINNING; VISCOSITY;

EID: 0033620929     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00147-5     Document Type: Article

References (16)

1. Öztekin A., Brown R.A. Instability of a viscoelastic fluid between rotating parallel discs: Analysis for the Oldroyd-B fluid. J. Fluid Mech. 255:1993;473-502.
2. Byars J.A., Öztekin A., Brown R.A., McKinley G.H. Spiral instabilities in the flow of highly elastic fluids between rotating parallel discs. J. Fluid Mech. 271:1994;173-218.
3. Avagliano A., Phan-Thien N. Torsional flow: Elastic instability in a finite domain. J. Fluid Mech. 312:1996;279-298.
4. Quinzani L.M., McKinley G.H., Brown R.A., Armstrong R.C. Modelling the rheology of polyisobutylene solutions. J. Rheol. 34(5):1990;705-748.
5. Magda J.J., Larson R.G. A transition occurring in ideal elastic liquids during shear flow. J. Non-Newtonian Fluid Mech. 30:1988;1-19.
6. Shaqfeh E.S.G., Muller S.J., Larson R.G. The effects of gapwidth and dilute solution properties on the viscoelastic instability. J. Fluid Mech. 235:1992;285-317.
7. 2 on elastic instability in a finite domain. J. Fluid Mech. 359:1998;217-237.
8. McKinley G.H., Pakdeland P., Öztekin A. Rheological and geometric scaling of purely elastic flow instabilities. J. Non-Newtonian Fluid Mech. 67:1996;19-47.
9. H.C. Öttinger, Stochastic Processes in Polymeric Fluids, Springer, Berlin (1996).
10. Öztekin A., Brown R.A., McKinley G.H. Quantitative prediction of the viscoelastic instability in cone-and-plate flow of a Boger fluid using a multimode Giesekus model. J. Non-Newtonian Fluid Mech. 255:1994;473-502.
11. Larson R.G., Muller S.J., Shaqfeh E.S.G. The effect of fluid rheology on the elastic Taylor-Couette instability. J. Non-Newtonian Fluid Mech. 51:1994;195-225.
12. Phan-Thien N. A non-linear network viscoelastic model. J. Rheol. 22:1978;259-283.
13. Chilcott M.D., Rallison J.M. Creeping flow of dilute olymer solutions past cylinders and spheres. J. Non-Newtonian Fluid Mech. 29:1988;381-393.
14. Giesekus H. A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. J. Non-Newtonian Fluid Mech. 11:1982;69-109.
15. Phan-Thien N., Huilgol R.R. On the stability of the torsional flow of a class of Oldroyd-type fluids. Rheol. Acta. 24:1985;551-555.
16. McKinley G.H., Byars J.A., Brown R.A., Armstrong R.C. Observations on the elastic instability in cone-and-plate and plate-and-plate flow of a non-Newtonian fluid. J. Non-Newtonian Fluid Mech. 40:1991;201-229.