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丁林楠, 柴军瑞, 覃 源, 许增光.辐射流立方定理的推导及试验研究水资源与水工程学报[J].,2019,30(3):242-247
辐射流立方定理的推导及试验研究
Derivation and experimental study of the cubic law of radial flow
  
DOI:10.11705/j.issn.1672-643X.2019.03.38
中文关键词:  岩体裂隙渗流  辐射流  光滑平行板  惯性力  立方定理
英文关键词:seepage flow in fracture  radial flow  smooth parallel plates  inertial force  cubic law
基金项目:国家自然科学基金项目(51679197、51409206); 国家博士后科研流动站科研基金项目(2014M562524XB)
作者单位
丁林楠, 柴军瑞, 覃 源, 许增光 (西安理工大学 西北旱区生态水利工程国家重点实验室 陕西 西安 710048) 
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中文摘要:
      为了推导辐射流光滑平行板立方定理并研究其适用性,通过理论分析,根据惯性力和黏性力的数量级关系,将水流的分布状态分成黏性区和势流区,在完全处于黏性区的“弱惯性带”中,由N-S方程和Laplace方程推导辐射流立方定理。在水力压强分别为0.1、0.2和0.3 MPa时,对平行板和规则齿进行水力试验,验证平行板实际流量与立方定理吻合程度以及粗糙裂隙面对于立方定理的适用性。结果表明:水力压强为0.1 MPa时,平行板的流量与立方定理吻合良好;高水头差易产生非线性流,导致流量偏离立方定理;粗糙度的存在会破坏水流的连续性,削弱过流能力,规则齿的试验值比预测值低7.9% ~14.6%。
英文摘要:
      This study aimed at deriving the cubic law of radial flow of smooth parallel plates and study its applicability. According to the order of magnitude relationship between the inertial force and the viscous force, the distribution state of the flow was divided into the viscous zone and the potential flow zone. In the “weak inertial band”, flow was completely in the viscous zone, the cubic law of radial flow was derived according to the N-S equation and the Laplace equation. In hydraulic testing, hydraulic pressures of parallel plates and regular teeth are 0.1, 0.2 and 0.3 MPa, respectively; proving the agreement between the actual flux of the parallel plates and the cubic law and the applicability of rough fracture surface to cubic law. When the hydraulic pressure is 0.1 MPa, the flux of the parallel plates agrees well with the cubic law. However, high head differences are prone to nonlinear flows, causing flow to deviate from the cubic law. The presence of roughness will destroy the continuity of the water flow and weaken the discharge capability. The test value of the regular teeth is 7.9%-14.6% lower than the predicted value.
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