A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior

Debris-flow modeling is a great challenge due to its complex physical mechanism that remains poorly understood. The present research incorporates the effect of rheological features of the non-Newtonian fluid into the complete quasi-single-phase mixture model, which explicitly accommodates the intera...

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Main Authors: Chunchen Xia, Haoyong Tian
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/14/9/1369
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author Chunchen Xia
Haoyong Tian
author_facet Chunchen Xia
Haoyong Tian
author_sort Chunchen Xia
collection DOAJ
description Debris-flow modeling is a great challenge due to its complex physical mechanism that remains poorly understood. The present research incorporates the effect of rheological features of the non-Newtonian fluid into the complete quasi-single-phase mixture model, which explicitly accommodates the interactions between flow, non-uniform sediment transport, and bed evolution. The effect of rheological features is estimated by Hersch–Bulkley–Papanastasiou model that can be simplified to Bingham or Newtonian models with specific coefficients. The governing equations are solved by a fully conservative numerical algorithm, using an explicit finite volume discretization with well-balanced slope-limited centered scheme combined with an implicit discretization method. One set of large-scaled U.S. Geological Survey debris-flow experiments is applied to investigate the influence of the non-Newtonian fluid on debris-flow modeling. It is found that the present model closed by Hersch–Bulkley–Papanastasiou model performs better than the models without considering effect of rheological features, which may facilitate the development of quasi-single-phase mixture modeling for debris flows.
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spelling doaj.art-afb87b444cc5423da82ce6b1bb490ca62023-11-23T09:34:45ZengMDPI AGWater2073-44412022-04-01149136910.3390/w14091369A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid BehaviorChunchen Xia0Haoyong Tian1College of Civil Engineering, Zhejiang University of Technology, Hangzhou 310000, ChinaPlanning and Development Research Institute, POWERCHINA Huadong Engineering Corporation Limited, Hangzhou 310000, ChinaDebris-flow modeling is a great challenge due to its complex physical mechanism that remains poorly understood. The present research incorporates the effect of rheological features of the non-Newtonian fluid into the complete quasi-single-phase mixture model, which explicitly accommodates the interactions between flow, non-uniform sediment transport, and bed evolution. The effect of rheological features is estimated by Hersch–Bulkley–Papanastasiou model that can be simplified to Bingham or Newtonian models with specific coefficients. The governing equations are solved by a fully conservative numerical algorithm, using an explicit finite volume discretization with well-balanced slope-limited centered scheme combined with an implicit discretization method. One set of large-scaled U.S. Geological Survey debris-flow experiments is applied to investigate the influence of the non-Newtonian fluid on debris-flow modeling. It is found that the present model closed by Hersch–Bulkley–Papanastasiou model performs better than the models without considering effect of rheological features, which may facilitate the development of quasi-single-phase mixture modeling for debris flows.https://www.mdpi.com/2073-4441/14/9/1369debris flowsquasi-single-phase mixture modelnumerical modelingnon-Newtonian fluideffective viscosity
spellingShingle Chunchen Xia
Haoyong Tian
A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
Water
debris flows
quasi-single-phase mixture model
numerical modeling
non-Newtonian fluid
effective viscosity
title A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
title_full A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
title_fullStr A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
title_full_unstemmed A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
title_short A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
title_sort quasi single phase model for debris flows incorporating non newtonian fluid behavior
topic debris flows
quasi-single-phase mixture model
numerical modeling
non-Newtonian fluid
effective viscosity
url https://www.mdpi.com/2073-4441/14/9/1369
work_keys_str_mv AT chunchenxia aquasisinglephasemodelfordebrisflowsincorporatingnonnewtonianfluidbehavior
AT haoyongtian aquasisinglephasemodelfordebrisflowsincorporatingnonnewtonianfluidbehavior
AT chunchenxia quasisinglephasemodelfordebrisflowsincorporatingnonnewtonianfluidbehavior
AT haoyongtian quasisinglephasemodelfordebrisflowsincorporatingnonnewtonianfluidbehavior