Numerical Analysis of Roll Waves Generation on Non-Newtonian Fluids Flowing down an Inclined Plane

Abstract:

This article aims to determine roll waves generation criteria for mudflow events. A representative system of equations to mudflows is reached through Cauchy’s equations (mass and momentum conservation) with proper stress tensor (non-Newtonian fluid) in shallow water conditions. Linear stability analysis is then applied to the system and two roll waves generation criteria are found: one related to Froude number and another related to flow disturbance frequency. Numerical simulations for both Newtonian and non-Newtonian fluids were carried. Good agreement was observed between numerical results and theoretical criteria.

• Periodical: Advanced Materials Research (Volumes 1006-1007)
• Pages: 160-167
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1006-1007.160
• Online since: August 2014
• Authors: Fabiana de Oliveira Ferreira*, Geraldo de Freitas Maciel, Guilherme Henrique Fiorot, Evandro Fernandes da Cunha
• Keywords: Mudflows, Non-Newtonian Fluid, Risks, Roll Waves

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