Darcy's law for yield stress fluid flowing through a porous medium
Darcy's law for yield stress fluid flowing through a porous medium
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DOI：
10.1016/j.jnnfm.2012.12.005
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发表时间：
2013-05-01
影响因子：
3.1
通讯作者：
Coussot, P.
中科院分区：
文献类型：
--
作者：
Chevalier, T.;Chevalier, C.;Coussot, P.
我们测量了在流动过程中的压降与流量，在很宽的速度范围内，良好控制的屈服应力流体通过不同尺寸的玻璃珠的受限填料。对数据的详细分析使得有可能提取通过多孔介质的压降与流速曲线的一般表达式作为系统的流速和特性的函数。该一般定律具有类似于描述这种流体在简单剪切中的流变行为的Herschel-Bulkley模型的形式，即，其表示为临界（屈服）压降和流速依赖项的总和。该定律涉及流体的流变参数、介质的一个特征长度和两个仅取决于多孔介质结构的系数。第一个系数与贯穿多孔介质的最大宽度的路径有关，而第二个系数反映孔径分布。这些系数的值是在颗粒填料的情况下确定的。(C)2012爱思唯尔有限公司版权所有。
We measured the pressure drop vs flow rate during the flow, in a wide range of velocities, of well controlled yield stress fluids through confined packings of glass beads of different sizes. A detailed analysis of the data makes it possible to extract a general expression for the pressure drop vs flow rate curve through a porous medium as a function of the flow rate and the characteristics of the system. This general law has a form similar to the Herschel-Bulkley model describing the rheological behavior of such fluids in simple shear, i.e. it expresses as the sum of a critical (yielding) pressure drop and a flow rate dependent term. This law involves the rheological parameters of the fluid, one characteristic length of the medium, and two coefficients which only depend on the structure of the porous medium. The first coefficient is related to the path of maximum width throughout the porous medium while the second coefficient reflects the pore size distribution. The values of these coefficients were determined in the case of a granular packing. (C) 2012 Elsevier B.V. All rights reserved.