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    Roll Waves in Mudflow Modeled as Herschel–Bulkley Fluids

    Source: Journal of Engineering Mechanics:;2024:;Volume ( 150 ):;issue: 012::page 04024092-1
    Author:
    Boyuan Yu
    ,
    Vincent H. Chu
    DOI: 10.1061/JENMDT.EMENG-7931
    Publisher: American Society of Civil Engineers
    Abstract: We develop a multilayer model to study roll waves in mudflow of Herschel–Bulkley fluids initiated by periodic and localized disturbance. Simulations are conducted of the temporal development of periodic roll waves and spatial development of wave packets due to localized disturbance. The results of the temporal development are expressed in terms of the power-law index, the relative plug-layer thickness, the Froude number, and the perturbation wavelength. Our simulation for the spatial development shows the roll waves led by a dominant front runner and followed by a quiescent tail, closely reproducing a well-known river-clogging phenomenon of the natural mudflow observed in the mountain rivers on mild slopes. The leading wave of the roll-wave packet, i.e., the front runner, grows in depth, velocity, celerity, and wavelength with distance from the localized disturbance. The front-runner wave amplitude depends on the distance from the localized disturbance, the power law index, the plug-layer thickness, and the Froude number. We calculated the front-runner’s wave amplitude due to a line source of disturbance in a 1D unidirectional development and the roll waves’ 2D development due to a point source. The initial nonlinear growth in the 2D front runner is a fraction of the 1D waves, but the increase in the wave amplitude with distance follows the same trend. We have also conducted a mesh refinement study to determine the convergence and accuracy. The present simulations using 64 layers have attained an accuracy within a 2% error.
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      Roll Waves in Mudflow Modeled as Herschel–Bulkley Fluids

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4303861
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    contributor authorBoyuan Yu
    contributor authorVincent H. Chu
    date accessioned2025-04-20T10:01:43Z
    date available2025-04-20T10:01:43Z
    date copyright9/27/2024 12:00:00 AM
    date issued2024
    identifier otherJENMDT.EMENG-7931.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4303861
    description abstractWe develop a multilayer model to study roll waves in mudflow of Herschel–Bulkley fluids initiated by periodic and localized disturbance. Simulations are conducted of the temporal development of periodic roll waves and spatial development of wave packets due to localized disturbance. The results of the temporal development are expressed in terms of the power-law index, the relative plug-layer thickness, the Froude number, and the perturbation wavelength. Our simulation for the spatial development shows the roll waves led by a dominant front runner and followed by a quiescent tail, closely reproducing a well-known river-clogging phenomenon of the natural mudflow observed in the mountain rivers on mild slopes. The leading wave of the roll-wave packet, i.e., the front runner, grows in depth, velocity, celerity, and wavelength with distance from the localized disturbance. The front-runner wave amplitude depends on the distance from the localized disturbance, the power law index, the plug-layer thickness, and the Froude number. We calculated the front-runner’s wave amplitude due to a line source of disturbance in a 1D unidirectional development and the roll waves’ 2D development due to a point source. The initial nonlinear growth in the 2D front runner is a fraction of the 1D waves, but the increase in the wave amplitude with distance follows the same trend. We have also conducted a mesh refinement study to determine the convergence and accuracy. The present simulations using 64 layers have attained an accuracy within a 2% error.
    publisherAmerican Society of Civil Engineers
    titleRoll Waves in Mudflow Modeled as Herschel–Bulkley Fluids
    typeJournal Article
    journal volume150
    journal issue12
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/JENMDT.EMENG-7931
    journal fristpage04024092-1
    journal lastpage04024092-17
    page17
    treeJournal of Engineering Mechanics:;2024:;Volume ( 150 ):;issue: 012
    contenttypeFulltext
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