Experimental and Numerical Investigation of Un-Steady Non-Darcy Flow in Rockfill Materials (RFM)

IF 0.9 4区 环境科学与生态学 Q4 WATER RESOURCES Water Resources Pub Date : 2024-03-05 DOI:10.1134/s0097807821100791
H. Hajikazemian, J. Bazargan, M. Shokri, M. Safarian, H. Norouzi
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Abstract

In this work, we studied the behavior of the unsteady flow in rockfill materials (i.e., grained porous media) both experimentally and numerically. The unsteady flow was created by moving up and down a hatch installed at the end of the channel. Experimental data were collected and stochastically analyzed, and Forchheimer relation coefficients were accurately calculated. Then, the Saint Venant equations were considered as governing relations to analyze unsteady flow. In this study, we considered all terms of Saint Venant equations contrary to previous studies where some terms have been excluded from the analysis. For scrutinizing responses of numerical calculations, a sensitivity analysis was conducted based on \(\Delta t\) and \(\Delta x\). By using binomial and power relations (separately), the values of depth and velocity of flow were computed and observed surface water profiles obtained. The comparison of the results revealed the high accuracy of computations so that the maximum computational error in moving up and down of the hatch was computed to be 3.4 and 2.9%, respectively. The results indicated the superiority of binomial equations to power, so that the maximum value of computational errors in binomial relations shows, on average, 22% relative improvement than power equations.

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填石材料(RFM)中非稳态非达西流的实验和数值研究
摘要 在这项工作中,我们通过实验和数值方法研究了填石材料(即粒状多孔介质)中的非稳态流动行为。不稳定流是由安装在渠道末端的舱口上下移动产生的。对实验数据进行了收集和随机分析,并精确计算了福赫海默关系系数。然后,将 Saint Venant 方程视为分析非稳定流的支配关系。在这项研究中,我们考虑了 Saint Venant 方程的所有项,而不是像以前的研究那样,将某些项排除在分析之外。为了仔细检查数值计算的响应,我们根据 (\△ t\ )和 (\△ x\ )进行了敏感性分析。通过(分别)使用二项式关系和幂次关系,计算了水流深度和流速值,并获得了观测到的地表水剖面图。结果对比显示计算精度很高,因此计算出舱口上下移动的最大计算误差分别为 3.4% 和 2.9%。结果表明,二项式方程优于幂级数方程,因此二项式关系的最大计算误差值平均比幂级数方程高出 22%。
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来源期刊
Water Resources
Water Resources 环境科学-水资源
CiteScore
1.60
自引率
20.00%
发文量
86
审稿时长
6-12 weeks
期刊介绍: Water Resources is a journal that publishes articles on the assessment of water resources, integrated water resource use, water quality, and environmental protection. The journal covers many areas of research, including prediction of variations in continental water resources and regime; hydrophysical, hydrodynamic, hydrochemical and hydrobiological processes, environmental aspects of water quality and protection; economic, social, and legal aspects of water-resource development; and experimental methods of studies.
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