Uniform Flow of Modified Bingham Fluids in Narrow Cross Sections
Uniform Flow of Modified Bingham Fluids in Narrow Cross Sections
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窄截面中改进宾汉流体的均匀流动
DOI：
10.1061/(asce)hy.1943-7900.0000092
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发表时间：
2009
影响因子：
2.4
通讯作者：
A. Cantelli
中科院分区：
文献类型：
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作者：
A. Cantelli
本文用改进的宾汉流体模型研究了坡面切口窄断面中的均匀泥石流。这个问题是解决数值和实验。实验使用羧甲基纤维素，剪切稀化流体，其流变行为可以通过修改的宾汉流体模型来解释。对于窄的矩形、梯形和三角形横截面，流动能力已通过将无量纲系数（f）定义为两个无量纲参数（宾汉数和通道纵横比）的函数的一般关系表示。我们还推导出修改后的宾汉流体作为通道的纵横比的函数的初始流的临界宾汉数的图。本文的计算和实验结果表明，通道的窄特性以及它的形状强烈地影响流导和宾汉数的临界值。
A model of modified Bingham fluid is used to investigate uniform mudflows in narrow cross sections of the kind typical of hillslope incisions. The problem is tackled both numerically and experimentally. Experiments were performed using carboxymethylcellulose, a shear thinning fluid whose rheological behavior can be interpreted by a modified Bingham fluid model. For narrow rectangular, trapezoidal, and triangular cross sections, the capability to flow has been expressed by a general relationship that defines a dimensionless coefficient (f) as a function of two dimensionless parameters: the Bingham number and an aspect ratio of the channel. We also derive plots for the critical Bingham number for incipient flow of modified Bingham fluids as a function of the aspect ratio of the channel. The present calculations and the experimental results demonstrate that the narrow character of the channel as well as its shape strongly affect the flow conductance and the critical value of the Bingham number.