Flow of a yield stress fluid in a long domain. Application to flow on an inclined plane

Journal of Rheology

Volumn 40, Issue 4, 1996, Pages 711-723

  Piau, J M ^a  

^a IPAG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

HYDROSTATIC PRESSURE; MATHEMATICAL MODELS; OPEN CHANNEL FLOW; STRESS ANALYSIS; VELOCITY; VISCOPLASTICITY; VISCOSITY; YIELD STRESS;

CHANNEL BED; COMPLEX ISOCHORIC FLOWS; NORMAL STRESSES; ONE DIMENSIONAL EQUATIONS; WAVE VELOCITY;

FLOW OF FLUIDS;

EID: 0030195765     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.550794     Document Type: Article

References (23)

1. Abdali, S. S., E. Mitsoulis, and N. C. Markatos, "Entry and exit flows of Bingham fluids," J. Rheol. 36, 389-407 (1992).
2. Ayadi, A., "Ecoulement à surface libre des boues argileuses," Ph.D. thesis, Université Joseph Fourier, Grenoble 1 (1996).
3. Bingham, E. C., Fluidity and Pasticity (McGraw-Hill, New York, 1922).
4. Bird, R. B., G. C. Dai, and B. J. Yarusso, "The rheology and flow of viscoplastic materials," Rev. Chem. Eng. 1, 1-70 (1983).
5. Bird, R. B., R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids (Wiley, New York, 1987), Vol. 1.
6. Bourne, M. C., Food Texture and Viscosity: Concept and Measurement (Academic, New York, 1982).
7. Chow, V. T., Open-Channel Hydraulics (McGraw-Hill, New York, 1959).
8. Coussot, P., "Steady laminar flow of cocentrate mud suspensions in open channels," J. Hydraul. Res. 32, 535-559 (1994).
9. Duvaut, G. and J. L., Lions, Les Inéquations en Mécanique et en Physique (Dunod, Paris, 1972).
10. Fraccarollo, L., Debris, A General Computer Code for the One-Dimensional Mathematical Models for Debris Flows, User Guide (University of Trento, Italy, 1994).
11. Johnson, A. M., Physical Processes in Geology (Freeman Cooper, San Francisco, 1970).
12. Lipscomb, G. G. and M. M. Denn, "Flow of Bingham fluids in complex geometries," J. Non-Newt. Fluid Mech. 14, 337-346, (1984).
13. Liu, K. F. and C. C. Mei, "Slow spreading of a sheet of Bingham fluid on an inclined plane," J. Fluid Mech. 207, 505-529 (1989).
14. Magnin, A. and J. M. Piau, "Cone-and-plate rheometry of yield stress fluids. Study of an aqueous gel," J. Non-Newt. Fluid Mech. 36, 85-108 (1990).
15. Magnin, A. and J. M. Piau, "Flow of yield stress fluids through a sudden change of section," in Theoretical and Applied Rheology, edited by P. Moldaners and R. Keunings (Elsevier, Amsterdam, 1992), Vol. 1, pp. 195-197.
16. Martinet, G., "Contribution à la modélisation numérique des avalanches de neige dense et des laves torrentielles," Ph.D. Thesis, Université Joseph Fourier Grenoble 1 (1992).
17. O'Donovan, E. J. and R. I. Tanner, "Numerical study of the Bingham squeeze film problem," J. Non-Newt. Fluid Mech. 15, 75-83 (1984).
18. Oldroyd, J. G., "A rational formulation of the equations of plastic flow for a Bingham solid," Proc. Camb. Philos. Soc. 43, 100-105 (1947a).
19. Olroyd, J. G., "Two-dimensional plastic flow of a Bingham solid. A plastic boundary-layer theory for slow motion," Proc. Camb. Philos. Soc. 43, 383-395 (1947b).
20. Prager, W., Introduction to Mechanics of Continua (Ginn, Boston, 1961).
21. Streeter, V. L., Handbook of Fluid Dynamics (McGraw-Hill, New York, 1961).
22. Tanner, R. I., Engineering Rheology (Clarendon, Oxford, 1985).
23. Wilson, S. D. R., "Squeezing flow of a yield-stress fluid in a wedge of slowly-varying angle," J. Non-Newt. Fluid Mech. 50, 45-63 (1993).