Temporal stability of carreau fluid flow down an incline

Journal of Fluids Engineering, Transactions of the ASME

Volumn 129, Issue 7, 2007, Pages 913-920

  Rousset, F ^a   Millet, S ^a   Botton, V ^a   Ben Hadid, H ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; REYNOLDS NUMBER; STABILITY CRITERIA;

SHEAR MODES; TEMPORAL STABILITY;

NEWTONIAN FLOW;

EID: 34547660343     PISSN: 00982202     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2742737     Document Type: Article

References (17)

1. Benjamin, T. B., 1957, "Wave Formation in Laminar Flow Down an Inclined Plane," J. Fluid Mech., 2, pp. 554-573.
2. Yih, C., 1963, "Stability of Liquid Flow Down an Inclined Plane," Phys. Fluids, 6(3), pp. 321-334.
3. Smith, M. K., 1976, "The Mechanism for the Long-Wave Instability in Thin Liquid Film," J. Fluid Mech., 217, pp. 469-485.
4. De Bruin, J. G., 1974, "Stability of a Layer of Liquid Flowing Down an Inclined Plane," J. Eng. Math., 8, pp. 259-270.
5. Floryan, J. M., Davis, S. H., and Kelly, R. E., 1987, "Instability of a Liquid Film Flowing Down a Slightly Inclined Plane," Phys. Fluids, 30, pp. 983-989.
6. Yih, C., 1965, "Stability of a Non-Newtonian Liquid Film Flowing Down an Inclined Plane," Phys. Fluids, 8(7), pp. 1257-1262.
7. Gupta, A. S., 1957, "Stability of a Visco-Elastic Liquid Film Flowing Down an Inclined Plane," J. Fluid Mech., 28, pp. 17-28.
8. Liu, K. F., and Mei, C. C., 1989, "Slow Spreading of a Sheet of Bingham Fluid on an Inclined Plane," J. Fluid Mech., 207, pp. 505-529.
9. Lai, W., 1967, "Stability of an Elastico-Viscous Liquid Film Flowing Down an Inclined Plane," Phys. Fluids, 10, pp. 844-847.
10. Shaqfeh, E. S. G., Larson, R. G., and Fredrickson, G. H., 1989, "The Stability of Gravity Driven Viscoelastic Film-Flow at Low to Moderate Reynolds Number," J. Non-Newtonian Fluid Mech., 31, pp. 87-113.
11. Hwang, C. C., Chen, J. L., Wang, J. S., and Lin, J. S., 1994, "Linear Stability of Power Law Liquid Film Flows Down an Inclined Plane," J. Phys. D, 27, pp. 2297-2301.
12. Andersson, H. I., and Dahl, E. N., 1999, "Gravity-Driven Flow of a Viscoelastic Liquid Film Along a Vertical Wall," J. Phys. D, 32, pp. 1557-1562.
13. Chen, K. P., 1992, "The Onset of Elastically Driven Wavy Motion in the Flow of Two Viscoelastic Liquid Films Down an Inclined Plane," J. Non-Newtonian Fluid Mech., 45, pp. 21-45.
14. Huang, C. T., and Khomami, B., 2001, "The Instability Mechanism of Single and Multilayer Newtonian and Viscoelastic Flows Down an Inclined Plane," Rheol. Acta, 40, pp. 467-484.
15. Carreau, P. J., De Kee, D., and Daroux, M., 1979, "An Analysis of the Viscous Behavior of Polymeric Solutions," Can. J. Chem. Eng., 57, pp. 135-141.
16. Weinstein, S. J., 1990, "Wave Propagation in the Flow of Shear-Thinning Fluids Down an Incline," AIChE J., 36(12), pp. 1873-1889.
17. Olsson, P. J., and Henningson, D. S., 1995, "Optimal Disturbance Growth in Watertable Flow," Stud. Appl. Math., 94, pp. 183-210.