Skip to main content
Have a personal or library account? Click to login
On the applicability of minimum channel length criterion for roll-waves in mud-flows Cover

On the applicability of minimum channel length criterion for roll-waves in mud-flows

Journal of Hydrology and Hydromechanics
Volume 61 (2013): Issue 4 (December 2013)
By: ,   and    
Open Access
|Dec 2013
References

References

  1. Ancey, C., 2001. Snow Avalanches. Selected topics in geological and geomorphological fluid mechanics. Berlin, Springer.
    Search in Google Scholar
  2. Ancey, C., 2005. Solving the Couette inverse problem by using a wavelet-vaguelette decomposition. J. Rheol., 49, 441-460.
    Open DOISearch in Google Scholar
  3. Ancey, C., Andreini, N., Epely-Chauvin, G., 2012. Viscoplastic dambreak waves: Review of simple computational approaches and comparison with experiments. Advances in Water Resources, 48, 79-91. Bagnold, R.A., 1954. Experiments in a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proc. Royal Soc. London, Ser. A, 225, 49-63.
    Open DOISearch in Google Scholar
  4. Balmforth, N.J., Liu, J.J., 2004. Roll waves in mud. J. Fluid Mech., 519, 33-54.
    Open DOISearch in Google Scholar
  5. Berlamont, J.F., 1976. Roll-waves in inclined rectangular open channels. BHRA Fluid Engineering, Newcastle, Vol. A2.
    Search in Google Scholar
  6. Berlamont, J.F., Vanderstappen, N., 1981. Unstable turbulent flow in open channels. J. Hydr. Div., 107 (HY4), 427-449.
    Open DOISearch in Google Scholar
  7. Bird, R.B., Dai, G.C., Yarusso, B.J., 1983. The rheology and flow of viscoplastic materials. Rev. Chem. Eng, 1, 1-70.
    Open DOISearch in Google Scholar
  8. Brock, R.R., 1969. Development of roll-waves trains in open channels. J. Hydr. Div., 95 (HY4), 1401-1427.
    Open DOISearch in Google Scholar
  9. Coussot, P., 1994. Steady, laminar, flow of concentrated mud suspensions in open channel. J. Hydr. Res., 32, 4, 535-559.
    Open DOISearch in Google Scholar
  10. Coussot, P., 1997. Mudflow Rheology and Dynamics. Rotterdam, Balkema.
    Search in Google Scholar
  11. Dent, J.D., Lang, T.E., 1983. A biviscous modified Bingham model of snow avalanche motion. Annals Glaciology, 4, 42-46.
    Open DOISearch in Google Scholar
  12. Di Cristo, C., Vacca, A., 2005. On the convective nature of roll waves instability. J. Appl. Math., 3, 259-271.
    Open DOISearch in Google Scholar
  13. Di Cristo, C., Iervolino, M., Vacca, A., Zanuttigh, B., 2008. Minimum channel length for roll-waves generation. J. Hydraul. Res., 46(1), 73-79.
    Open DOISearch in Google Scholar
  14. Di Cristo, C., Iervolino, M., Vacca, A., Zanuttigh, B., 2009. Roll waves prediction in dense granular flows. J. Hydrol., 377(1-2), 50-58.
    Open DOISearch in Google Scholar
  15. Di Cristo, C., Iervolino, M., Vacca, A., Zanuttigh, B., 2010. Influence of relative roughness and Reynolds number on the roll waves spatial evolution. Journal of Hydraulic Engineering, ASCE, 136(1), 24-33.
    Open DOISearch in Google Scholar
  16. Di Cristo, C., Iervolino, M., Vacca, A., 2012. Green’s function of the linearized Saint-Venant equations in laminar and turbulent flows. Acta Geophysica, 60(1), 173-190.
    Open DOISearch in Google Scholar
  17. Di Cristo, C., Iervolino, M., Vacca, A., 2013a. Waves dynamics in a linearized mud-flow shallow model. Applied Mathematical Sciences, 7(8), 377-393.
    Open DOISearch in Google Scholar
  18. Di Cristo, C., Iervolino, M., Vacca, A., 2013b. Boundary conditions effect on linearized mud-flow shallow model. Acta Geophysica, 61(3), 649-667.
    Open DOISearch in Google Scholar
  19. Di Cristo, C., Iervolino, M., Vacca, A., 2013c. Gravity-Driven Flow of a Shear-Thinning Power-Law Fluid over a Permeable Plane. Applied Mathematical Sciences, 7(33), 1623-1641.
    Open DOISearch in Google Scholar
  20. Di Cristo, C., Iervolino, M., Vacca, A., 2013d. Applicability of kinematic, diffusion and quasi-steady dynamic wave models to shallow mud flows. J. Hydrol. Eng., doi: 10.1061/(ASCE)HE.1943-5584.0000881.
    Open DOISearch in Google Scholar
  21. Di Nucci, C., Russo Spena, A., 2011. Discussion of “Energy and momentum under critical flow conditions” by O. Castro- Orgaz, J.V. Giráldez and J.L. Ayuso. J. Hydraul. Res. 49, 1, 127-130.
    Open DOISearch in Google Scholar
  22. Di Nucci, C., Russo Spena, A., Todisco, M.T., 2007. On the non-linear unsteady water flow in open channels. Il Nuovo Cimento B 122, 3, 237-255, doi: 10.1393/ncb/i2006-10174- x. Fernández-Nieto, E.D., Noble, P., Vila, J.P., 2010. Shallow water equation for non-Newtonian fluids. J. Non-Newton Fluid. Mech., 165(7), 12-32.
    Search in Google Scholar
  23. Greco, M., Iervolino, M., Leopardi, A., Vacca, A., 2012. A two-phase model for fast geomorphic shallow flows. Int. J. Sed. Res., 27, 4, 409-425.
    Open DOISearch in Google Scholar
  24. Huang, X., Garcia, M.H., 1997. A perturbation solution for Bingham-plastic mudflows. J. Hydr. Engrg., ASCE, 123, 11, 986-994.
    Open DOISearch in Google Scholar
  25. Huang, X., Garcia, M.H., 1998. A Herschel-Bulkley model for mud flow down a slope. J. Fluid Mech., 374, 305-333.
    Open DOISearch in Google Scholar
  26. Huerre, P., Monkewitz, P.A., 1990. Local and global instabilities in spatially developing flows. Annual Review of Fluid Mechanics, 22, 473-537.
    Open DOISearch in Google Scholar
  27. Hwang, C., Chen, J., Wang, J., Lin, J., 1994. Linear stability of power law liquid film flows down an inclined plane. J. Phys. D., Appl. Phys., 27, 2297-2301.
    Open DOISearch in Google Scholar
  28. Iverson, R.M., 1997. The physics of debris flows. Rev. Geophys., 35(3), 245-296.
    Open DOISearch in Google Scholar
  29. Jackson, R., 2000. The dynamics of fluidized particles. Cambridge University Press, Cambridge.
    Search in Google Scholar
  30. Jiang, L., LeBlond, P.H., 1992. The coupling of a submarine slide and the surface water waves which it generates. J. Geophys. Res., 97(C8), 731-744.
    Open DOISearch in Google Scholar
  31. Johnson, A.M, 1970. Physical Processes in Geology. Freeman, San Francisco.
    Search in Google Scholar
  32. Julien, P.Y., Hartley, D.M., 1986. Formation of roll waves in laminar sheet flow. J. Hydr. Res., 24(1), 5-17.
    Open DOISearch in Google Scholar
  33. Laigle, D. Coussot, P., 1997. Numerical modeling of mudflows. J. Hydraul. Eng., 123, 617-623.
    Open DOISearch in Google Scholar
  34. Liggett, J.A., 1975. Stability. Chap. 6 in Unsteady flow in open channel. Vol. 1. K. Mahmood, K., Yevjevich, V., (Eds.), Water Resources Publications, Fort Collins.
    Search in Google Scholar
  35. Liu, K.F., Mei, C.C., 1989. Slow spreading of a sheet of Bingham fluid on an inclined plane. J. Fluid Mech., 207, 505-529.
    Open DOISearch in Google Scholar
  36. Mainali, A., Rajaratnam, N., 1994. Experimental study of debris flows. J. Hydr. Engrg., ASCE, 120, 1, 104-123.
    Open DOISearch in Google Scholar
  37. Montuori, C., 1963. Discussion of “Stability aspect of flow in open channels”. J. Hydr. Div., 89(HY4), 264-273.
    Open DOISearch in Google Scholar
  38. Ng, C., Mei, C.C., 1994. Roll waves on a shallow layer of mud modelled as a power-law fluid. J. Fluid Mech., 263, 151-184.
    Open DOISearch in Google Scholar
  39. O’Brien, J.S., Julien, P.Y., 1988. Laboratory analysis of mudflow properties. J. Hydr. Engrg., ASCE, 114, 8, 877-887.
    Open DOISearch in Google Scholar
  40. Pascal, J.P., 2006. Instability of power-law fluid flow down a porous incline. J. Non-Newtonian Fluid Mech., 133, 109-120.
    Open DOISearch in Google Scholar
  41. Pascal, J.P., D’Alessio, S.J.D., 2007. Instability of power-law fluid flows down an incline subjected to wind stress. Applied Mathematical Modelling, 31, 1229-1248.
    Open DOISearch in Google Scholar
  42. Pitman, E.B., Le, L., 2005. A two-fluid model for avalanche and debris flows. Phil. Trans. R. Soc. A, 363, 1573-1601.
    Open DOISearch in Google Scholar
  43. Ponce, V.M., Simon, D.B., 1977. Shallow water propagation in open channel flow. J. Hyd. Div., 103, 1461-1476.
    Open DOISearch in Google Scholar
  44. Takahashi, T., 1978. Mechanical characteristics of debris flow. J. Hydr. Div., ASCE, 104, 8, 1153-1169.
    Open DOISearch in Google Scholar
  45. Takahashi, T., 1991. Debris Flow. IAHR Monograph Series. Balkema, Rotterdam, The Netherlands. 165 pp.
    Search in Google Scholar
  46. Trowbridge, J.H., 1987. Instability of concentrated free surface flows. J. Geoph. Res., 92 (C9), 9523-9530.
    Open DOISearch in Google Scholar
  47. Vedernikov, V.V., 1946. Characteristics feature of a liquid flow in open channel. USSR Academy of Science, 52, 207-210.
    Search in Google Scholar
  48. Zanuttigh, B., Lamberti, A., 2007. Instability and surge development in debris flows. Rev. Geophys., 45, RG3006, doi:10.1029/2005RG000175 (AGU Publ., USA).
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/johh-2013-0036 | Journal eISSN: 1338-4333 (formerly 0042-790X) | Journal ISSN: 0042-790X
Journal RSS Feed
Language: English
Page range: 286 - 292
Published on: Dec 1, 2013
Published by: Slovak Academy of Sciences, Institute of Hydrology
In partnership with: Paradigm Publishing Services
Keywords:
Herschel and Bulkley,
Mud-flows,
Stability analysis,
Roll-waves
Related subjects:
Engineering,
Introductions and overviews,
Engineering, other

© 2013 Cristiana Di Cristo, Michele Iervolino, Andrea Vacca, published by Slovak Academy of Sciences, Institute of Hydrology
This work is licensed under the Creative Commons License.

Volume 61 (2013): Issue 4 (December 2013)
Previous article
Next article