Darcian, Transitional, and Turbulent Flow through Porous Media
Darcian, Transitional, and Turbulent Flow through Porous Media
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DOI：
10.1061/(asce)0733-9429(1998)124:8(840
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发表时间：
1998-08
影响因子：
2.4
通讯作者：
P. Venkataraman;P. Rao
中科院分区：
文献类型：
--
作者：
P. Venkataraman;P. Rao
研究由大颗粒组成的介质中的流动在许多土木工程应用中是很重要的。以渗透率平方根作为定义摩擦因数和雷诺数的特征长度，以渗透率特征长度与平方根之比√_(Ik)作为第三个参数，建立了与管道流动中估算摩擦因数的穆迪图类似的理论曲线、相关的摩擦因数和雷诺数。对已有的渗流实验数据进行了基于id/√/ik比值的分类，并用来验证理论的正确性。这份协议很好。从所得到的一组理论曲线中，确定了摩擦系数-雷诺数关系偏离达西定律的雷诺数和完全建立湍流的雷诺数。得到了这些雷诺数随介质参数变化的经验公式。提出了影响线性参数ia和非线性参数ib的因素。给出了适用于高雷诺数流动的经验幂定律的理论证明。
The study of flow through media consisting of large-sized grains is important in a number of civil engineering applications. Employing the square root of permeability as the characteristic length in defining friction factor and Reynolds number, theoretical curves, relating friction factor and Reynolds number—similar to the Moody diagram used in pipe flow to estimate the friction factor—have been developed using the ratio of characteristic length \id and square root of permeability √\ik as the third parameter. The existing experimental data on flow through porous media have been sorted based on the \id/√\ik ratio and are used to verify the theory developed. The agreement is good. From the set of theoretical curves so obtained, the Reynolds number at which the friction factor–Reynolds number relationship deviates from Darcy’s law and the Reynolds number at which turbulent flow is fully established are identified. Empirical equations for these Reynolds numbers in terms of media parameters have been obtained. The factors affecting linear parameter \ia and nonlinear parameter \ib have been brought out. The empirical power law applicable for high Reynolds number flows is given a theoretical justification.