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    A Perturbation Solution for Bingham-Plastic Mudflows

    Source: Journal of Hydraulic Engineering:;1997:;Volume ( 123 ):;issue: 011
    Author:
    Xin Huang
    ,
    Marcelo H. García
    DOI: 10.1061/(ASCE)0733-9429(1997)123:11(986)
    Publisher: American Society of Civil Engineers
    Abstract: An analytical solution is proposed for laminar mudflows and debris flows that can be modeled by a Bingham-plastic law. Two-dimensional, unsteady, nonuniform, Bingham flows released from a point source or a source of finite size (dam-break problem or mudslide problem) on a steep slope are considered. The method of matched asymptotic expansions was implemented to get a first-order solution. For the dam-break problem, the proposed model is found to be valid when the shock wave has advanced three reservoir lengths downstream. Also, it is found that the Bingham flow only propagates a finite distance downstream, with the shock depth asymptotically approaching the yield depth and the shock velocity asymptotically falling to zero. The hydrograph produced by a Bingham flow is seen to have a slower and lower flood peak and a longer and higher flow tail than that produced by Newtonian flow having the same dynamic viscosity. Comparison of the model predictions with laboratory observations shows reasonable agreement.
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      A Perturbation Solution for Bingham-Plastic Mudflows

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    http://yetl.yabesh.ir/yetl1/handle/yetl/24372
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    contributor authorXin Huang
    contributor authorMarcelo H. García
    date accessioned2017-05-08T20:42:43Z
    date available2017-05-08T20:42:43Z
    date copyrightNovember 1997
    date issued1997
    identifier other%28asce%290733-9429%281997%29123%3A11%28986%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/24372
    description abstractAn analytical solution is proposed for laminar mudflows and debris flows that can be modeled by a Bingham-plastic law. Two-dimensional, unsteady, nonuniform, Bingham flows released from a point source or a source of finite size (dam-break problem or mudslide problem) on a steep slope are considered. The method of matched asymptotic expansions was implemented to get a first-order solution. For the dam-break problem, the proposed model is found to be valid when the shock wave has advanced three reservoir lengths downstream. Also, it is found that the Bingham flow only propagates a finite distance downstream, with the shock depth asymptotically approaching the yield depth and the shock velocity asymptotically falling to zero. The hydrograph produced by a Bingham flow is seen to have a slower and lower flood peak and a longer and higher flow tail than that produced by Newtonian flow having the same dynamic viscosity. Comparison of the model predictions with laboratory observations shows reasonable agreement.
    publisherAmerican Society of Civil Engineers
    titleA Perturbation Solution for Bingham-Plastic Mudflows
    typeJournal Paper
    journal volume123
    journal issue11
    journal titleJournal of Hydraulic Engineering
    identifier doi10.1061/(ASCE)0733-9429(1997)123:11(986)
    treeJournal of Hydraulic Engineering:;1997:;Volume ( 123 ):;issue: 011
    contenttypeFulltext
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