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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MDPI AG
2022-04-01
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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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language | English |
last_indexed | 2024-03-10T03:34:30Z |
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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 |
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