Two-dimensional simulation of non-Newtonian flow

Andres Vitaliano Perez Pachari, Reyna Huancara, Flor Cutire, Nataly Perez, Anai Perez

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Every year in the south of Peru, rainy seasons produce mud flow along a river in the Andes Mountains, causing flooding in the Pescadores Valley, as well as the Panamericana Highway, paralyzing vehicular traffic along southern Peru’s main road. The flooding is of a non-Newtonian flow comprised of torrential rainwater, stones and sediments, this flow will be simulated in the Pescadores valley in order to avoid annual flooding and to propose channeling the river with an embankment dam and a bridge over the Panamericana Highway. For the two-dimensional computational simulation, the hydrological design of the basin was made from the maximum rainfall of 24 hours, until the hydrograph of maximum design flows was obtained, considering a return period that will be based on the expected life of the structure and a percentage of the risk of failure. In addition, a study of soil mechanics was conducted in order to determine the rheological parameters of the flow, as well as a topographic survey in the field with a drone system. With the following information the flow was simulated using the rheological, quadratic and two-dimensional models, as well as numerically solving the continuity equations and quantity of non-Newtonian flow movement (mud flooding). Once the calibration was done, the design of the channelling of the river with an embankment dam and a concrete bridge over the road was proposed.

Original languageEnglish
Title of host publicationUrban Water Systems and Floods III
EditorsS. Mambretti, D. Proverbs
Number of pages12
ISBN (Electronic)9781784663797
StatePublished - 7 Dec 2020
Event7th International Conference on Flood and Urban Water Management, FRIAR 2020 - Virtual, Online
Duration: 28 Sep 202030 Sep 2020

Publication series

NameWIT Transactions on the Built Environment
ISSN (Print)1743-3509
ISSN (Electronic)1746-4498


Conference7th International Conference on Flood and Urban Water Management, FRIAR 2020
CityVirtual, Online

Bibliographical note

Publisher Copyright:
© 2020 WIT Press.


  • Hazard map
  • Mud flooding
  • Peru
  • Two-dimensional simulation


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