Abstract—The aim of this article is to contribute to
determination of generation criteria for roll waves in mud flows.
Flow is represented byCauchy’s equations system (general mass
and momentum conservation equations), wherenon-Newtonian
rheology (mud materials) is inserted and shallow water
conditions are imposed, then leading to aroll waves model for
laminar non-Newtonian viscous flow. Linear stability analysis is
then applied and two criteria are established for roll waves
generation: one related to Froude number and another by
means of disturbance frequency. Confrontation of these criteria
to numerical results is observed and good agreement is found
regarding amplitude, length and propagation speed of roll
waves. For Newtonian fluids, waves profile is also compared to
experimental results. Preliminaries results based on
non-Newtonian fluids experiments from literature are explored.
Index Terms—Mudflows, non-newtonian fluid, risks, roll
waves.
F. O. Ferreira and E. F. Cunha are with Faculdade de Engenharia De Ilha
Solteira, FEIS/UNESP, Brazil (e-mail: fabiana.of@gmail.com,
evandrofernandesc@gmail.com).
G. F. Macielis is with the Civil Engineering Department from Faculdade
de Engenharia de Ilha Solteira, FEIS/UNESP, Brazil (e-mail:
maciel@dec.feis.unesp.br).
G. H. Fiorot is with the Laboratoire de Génie Civil et Génie Mécanique,
Institut National des Sciences Appliquées de Rennes, LGCGM/INSA,
France (e-mail: gfiorot@insa-rennes.fr).
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Cite: Fabiana de O. Ferreira, Geraldo de F. Maciel, Guilherme H. Fiorot, and Evandro F. da Cunha, "Natural Hazards Modeling: From Runoff to
Hyperconcentrated Flows – Roll Waves Generation," International Journal of Engineering and Technology vol. 7, no. 3, pp. 204-208, 2015.
