Slumps of viscoplastic fluids on slopes

Journal of Non-Newtonian Fluid Mechanics

Volumn 158, Issue 1-3, 2009, Pages 101-112

  Hogg, A J ^a   Matson, G P ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Dam break; Free surface flow; Herschel Bulkley; Lambert W function; Shallow flow; Viscoplastic fluid; Yield stress

Indexed keywords

AERODYNAMICS; ASPECT RATIO; ASYMPTOTIC ANALYSIS; BOUNDARY LAYERS; COILED TUBING; CRYSTALLOGRAPHY; DAMS; EQUATIONS OF MOTION; FLUIDS; LEAKAGE (FLUID); PLASTIC FLOW; PRESSURE GRADIENT; TWO DIMENSIONAL; VISCOPLASTICITY;

DAM-BREAK; FREE-SURFACE FLOW; HERSCHEL-BULKLEY; LAMBERT- W FUNCTION; SHALLOW FLOW; VISCOPLASTIC FLUID;

YIELD STRESS;

EID: 62549152291     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2008.07.003     Document Type: Article

References (28)

1. Ancey C. Plasticity and geophysical flows: a review. J. Non-Newtonian Fluid Mech. 142 (2007) 4-35
2. Griffiths R.W. The dynamics of lava flow. Ann. Rev. Fluid Mech. 32 (2000) 477-518
3. Balmforth N.J., and Craster R.V. Geophysical aspects of non-Newtonian fluid mechanics. In: Balmforth N.J., and Provenzale A. (Eds). Geomorphological Fluid Mechanics (Lecture Notes in Physics) (2002), Springer 589
4. Balmforth N.J., and Craster R.V. A consistent thin-layer theory for Bingham plastics. J. Non-Newtonian Fluid Mech. 84 (1999) 65-81
5. Perona P. Bostwick degree and rheological properties: an up-to-date viewpoint. Appl. Rheol. 15 (2005) 218-229
6. Milczarek R.R., and McCarthy K.L. Relationship between the Bostwick measurement and fluid properties. J. Texture Stud. 37 (2006) 640-654
7. Balmforth N.J., Craster R.V., Perona P., Rust A.C., and Sassi R. Viscoplastic dam breaks and the Bostwick consistometer. J. Non-Newtonian Fluid Mech. 142 (2007) 63-78
8. Ritter A. Die Fortpflanzung der Wasserwellen. Zeitschrift des Vereines Deutscher Ingenieure 36 33 (1892) 947-954
9. Hunt B. An inviscid dam-break solution. J. Hydraul. Res. 25 (1987) 313-327
10. Hogg A.J., and Pritchard D. The effects of drag on dam-break and other shallow inertial flows. J. Fluid Mech. 501 (2004) 179-212
11. Huppert H.E. The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface. J. Fluid Mech. 121 (1982) 43-58
12. Huppert H.E. Flow and instability of a viscous current down a slope. Nature 300 (1982) 427-499
13. Lube G., Huppert H.E., Sparks R.S.J., and Freundt A. Collapses of two-dimensional granular columns. Phys. Rev. E 72 (2005) 041301
14. Balmforth N.J., and Kerswell R.R. Granular collapse in two dimensions. J. Fluid Mech. 538 (2005) 399-428
15. Hogg A.J. Two-dimensional granular slumps down slopes. Phys. Fluids (2007) 19
16. Huang X., and Garcia M.H. A Herschel-Bulkley model for mud flow down a slope. J. Fluid Mech. 364 (1998) 305-333
17. Matson G.P., and Hogg A.J. Two-dimensional dam break flows of Herschel-Bulkley fluids: the approach to the arrested state. J. Non-Newtonian Fluid Mech. 142 (2007) 79-94
18. Liu K.F., and Mei C.C. Slow spreading of a sheet of Bingham fluid on an inclined plane. J. Fluid Mech. 207 (1989) 505-529
19. Balmforth N.J., Craster R.V., Rust A.C., and Sassi R. Viscoplastic flow over an inclined surface. J. Non-Newtonian Fluid Mech. 142 (2007) 219-243
20. Chanson H., Jarny S., and Coussot P. Dam break wave of thixotropic fluid. J. Hydraul. Eng. 132 (2006) 280-293
21. S. Cochard, Measurements of time-dependent free-surface viscoplastic flows down steep slopes, PhD thesis, Ecole Polytechnique Fédérale de Lausanne, 2007.
22. Hallworth M.A., and Huppert H.E. Abrupt transitions in high-concentration, particle-driven gravity currents. Phys. Fluids 10 (1998) 1083-1087
23. Ancey C., and Jorrot H. Yield stress for particle suspensions within a clay dispersion. J. Rheol. 45 (2001) 297-319
24. Hocking L.M. The spreading of a thin drop by gravity and capillarity. Q. J. Mech. Appl. Math. 36 (1983) 55-69
25. Corless R.M., Gonnet G.H., Hare D.E.G., Jeffrey D.J., and Knuth D.E. On the Lambert Wfunction. Adv. Comput. Math. 5 (1996) 329-359
26. Gratton J., Minotti F., and Mahajan S.M. Theory of creeping gravity currents of a non-Newtonian liquid. Phys. Rev. E 60 (1999) 6960-6967
27. Perazzo C.A., and Gratton J. Thin film flow of non-Newtonian fluid on an incline. Phys. Rev. E 67 (2003) 016307
28. Huilgol R.R., Mena B., and Piau J.M. Finite stopping time problems and rheometry of Bingham fluids. J. Non-Newtonian Fluid Mech. 102 (2002) 97-107