Linear stability of circular Couette flow of inelastic viscoplastic fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 134, Issue 1-3 SPEC. ISS., 2006, Pages 148-154

  Caton, François ^a  

^a NANCY UNIVERSITÉ   (France)

Author keywords

Bingham model; Circular Couette flow; Hydrodynamic stability; Power law model; Viscoplastic fluids

Indexed keywords

HYDRODYNAMICS; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; RHEOLOGY; VORTEX FLOW;

BINGHAM MODEL; CIRCULAR COUETTE FLOW; HYDRODYNAMIC STABILITY; POWER LAW MODEL; VISCOPLASTIC FLUIDS;

VISCOPLASTICITY;

HYDRODYNAMICS; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; RHEOLOGY; VISCOPLASTICITY; VORTEX FLOW;

EID: 33645109352     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.02.003     Document Type: Article

References (23)

1. M. Couette Etude sur le frottement des liquides Ann. Chem. Phys. 21 1890 433
2. G.I. Taylor Stability of a viscous liquid contained between two rotating cylinders Phil. Trans. R. Soc. Lond. A 223 1923 289-343
3. F. Caton B. Janiaud E.J. Hopfinger Stability and bifurcations in stratified Taylor-Couette flow J. Fluid Mech. 419 2000 93-124
4. M. Ali P.D. Weidman On the stability of circular Couette flow with radial heating J. Fluid Mech. 220 1990 53-84
5. N. Schaeffer P. Cardin Quasigeostrophic model of the instabilities of the stewartson layer in flat and depth-varying containers Phys. Fluids 17 2005 104111
6. S.J. Muller R.G. Larson E.S.G. Shaqfeh A purely elastic transition in Taylor-Couette flow Rheol. Acta 28 1989 499
7. J.A. Cole Taylor-vortex instability and annulus-length effects J. Fluid Mech. 75 1976 1-15
8. W. Graebel, The hydrodynamic stability of a bingham fluid in couette flow, in: M. Reiner, D. Abir (Eds.), Proceedings of International Symposium on 2nd Order Effects in Elasticity, Plasticity and Fluid Dynamics, Jerusalem Academic Press, 1962, pp. 636-649.
9. M. Jastrzebski H.A. Zaidani S. Wronski Stability of couette flow of liquids with power law viscosity Rheol. Acta 31 1992 264
10. S. Wronski M. Jastrzebski Experimental investigations of the stability limit of the helical flow of pseudoplastic liquids Rheol. Acta 29 1990 453
11. T.J. Lockett S.M. Richardson W.J. Worraker The stability of inelastic non-newonian fluids in couette flow between concentric cylinder: A finite-element study J. Non-Newt. Fluid Mech. 43 1992 165
12. I.A. Frigaard C. Nouar On three-dimensional linear stability of poiseuille flow of bingham fluids Phys. Fluids 15 10 2003 2843-2851
13. A.N. Alexandrou P. Le Menn G. Georgion V. Entov Flow instabilities of Herschel-Bulkley fluids J. Non-Newt. Fluid Mech. 116 1 2003 19-32
14. M.A. Moyers-Gonzalez I.A. Frigaard C. Nouar Nonlinear stability of a visco-plastically lubricated viscous shear flow J. Fluid Mech. 506 2004 117
15. J. Peng K. Zhu Linear stability of bingham fluids in spiral couette flow J. Fluid Mech. 512 2004 21
16. M.P. Landry, I.A. Figaard, D.M. Martinez, Stability and instability of Taylor-Couette flows of a bingham fuid, submitted for publication.
17. M.P. Landry, Taylor-Couette instability of a bingham fluid, Master's thesis, University of British Columbia, Canada, 2003.
18. G.P. Roberts H.A. Barnes P. Carew Modelling the flow behaviour of very shear-thinning liquids Chem. Eng. Sci. 56 2001 5617
19. N.J. Balmforth R.V. Craster Dynamics of cooling domes of viscoplastic fluid J. Fluid Mech. 422 2000 225-248
20. S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability 1961 Dover New York
21. D. Meksyn New Methods in Laminar Boundary Layer Theory 1961 Pergamon Press London
22. G.P. Roberts H.A. Barnes P. Carew Thermal instabilities in rapidly rotating systems J. Fluid Mech. 44 1970 441-460
23. S. Skali-Lami, P. Funschilling, F. Julien Saint Amand, Hydrodynamic behaviour of fibre suspensions and basis similitudes, in: Proceedings of COST E7 Final Conference on Multiphase Flow in Papermaking, 2000.