The flow behavior in porous media with threshold pressure gradient(TPG) is more complex than Darcy flow and the equations of motion, and outer boundary and inner boundary with TPG are also different from Darcy flow fo...The flow behavior in porous media with threshold pressure gradient(TPG) is more complex than Darcy flow and the equations of motion, and outer boundary and inner boundary with TPG are also different from Darcy flow for unsteady flow of a producing well in a reservoir. An analytic method to solve this kind of problem is in a need of reestablishment. The classical method of Green's function and Newman product principle in a new way are used to solve the unsteady state flow problems of various shapes of well and reservoir while considering the TPG. Four Green's functions of point, line, band and circle while considering the TPG are achieved. Then, two well models of vertical well and horizontal well are built and simultaneously the function to calculate the moving boundary of each well model is provided. The results show that when considering TPG the pressure field is much different, which has a sudden pressure change, with a moving boundary in it. And the moving boundary of each well model increases with time but slows down rapidly, especially when the TGP is large.展开更多
The size of impeller reflux holes for centrifugal pump has influence on the pressure distribution of front and rear shrouds and rear pump chamber, as well as energy characteristics of whole pump and axial force. Low s...The size of impeller reflux holes for centrifugal pump has influence on the pressure distribution of front and rear shrouds and rear pump chamber, as well as energy characteristics of whole pump and axial force. Low specific-speed centrifugal pump with Q=12.5 m3/h, H=60 m, n=2950 r/min was selected to be designed with eight axial reflux balance holes with 4.5 mm in diameter. The simulated Q-H curve and net positive suction head(NPSH) were in good agreement with experimental results, which illustrated that centrifugal pump with axial reflux balance holes was superior in the cavitation characteristic; however, it showed to little superiority in head and efficiency. The pressure in rear pump chamber at 0.6 times rate flow is 29.36% of pressure difference between outlet and inlet, which reduces to 29.10% at rate flow and 28.33% at 1.4 times rate flow. As the whole, the pressure distribution on front and rear shrouds from simulation results is not a standard parabola, and axial force decreases as flow rate increases. Radical reflux balance holes chosen to be 5.2 mm and 5.9 mm in diameter were further designed with other hydraulic parts unchanged. With structural grids adopted for total flow field, contrast numerical simulation on internal flow characteristics was conducted based on momentum equations and standard turbulence model(κ-ε). It is found that axial force of pump with radical reflux balance holes of5.2 mm and 5.9 mm in diameter is significantly less than that with radical reflux balance holes of 4.5 mm in diameter. Better axial force balance is obtained as the ratio of area of reflux balance holes and area of sealing ring exceeds 6.展开更多
基金Project(51304220) supported by the National Natural Science Foundation of ChinaProject(3144033) supported by the Beijing Natural Science Foundation,ChinaProject(20130007120014) supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China
文摘The flow behavior in porous media with threshold pressure gradient(TPG) is more complex than Darcy flow and the equations of motion, and outer boundary and inner boundary with TPG are also different from Darcy flow for unsteady flow of a producing well in a reservoir. An analytic method to solve this kind of problem is in a need of reestablishment. The classical method of Green's function and Newman product principle in a new way are used to solve the unsteady state flow problems of various shapes of well and reservoir while considering the TPG. Four Green's functions of point, line, band and circle while considering the TPG are achieved. Then, two well models of vertical well and horizontal well are built and simultaneously the function to calculate the moving boundary of each well model is provided. The results show that when considering TPG the pressure field is much different, which has a sudden pressure change, with a moving boundary in it. And the moving boundary of each well model increases with time but slows down rapidly, especially when the TGP is large.
基金Project(51179075)supported by the National Natural Science Foundation of ChinaProject(BK20131256)supported by the Natural Science Funds of Jiangsu Province,ChinaProject supported by the Priority Academic Program Development of Jiangsu High Education Institutions,China
文摘The size of impeller reflux holes for centrifugal pump has influence on the pressure distribution of front and rear shrouds and rear pump chamber, as well as energy characteristics of whole pump and axial force. Low specific-speed centrifugal pump with Q=12.5 m3/h, H=60 m, n=2950 r/min was selected to be designed with eight axial reflux balance holes with 4.5 mm in diameter. The simulated Q-H curve and net positive suction head(NPSH) were in good agreement with experimental results, which illustrated that centrifugal pump with axial reflux balance holes was superior in the cavitation characteristic; however, it showed to little superiority in head and efficiency. The pressure in rear pump chamber at 0.6 times rate flow is 29.36% of pressure difference between outlet and inlet, which reduces to 29.10% at rate flow and 28.33% at 1.4 times rate flow. As the whole, the pressure distribution on front and rear shrouds from simulation results is not a standard parabola, and axial force decreases as flow rate increases. Radical reflux balance holes chosen to be 5.2 mm and 5.9 mm in diameter were further designed with other hydraulic parts unchanged. With structural grids adopted for total flow field, contrast numerical simulation on internal flow characteristics was conducted based on momentum equations and standard turbulence model(κ-ε). It is found that axial force of pump with radical reflux balance holes of5.2 mm and 5.9 mm in diameter is significantly less than that with radical reflux balance holes of 4.5 mm in diameter. Better axial force balance is obtained as the ratio of area of reflux balance holes and area of sealing ring exceeds 6.
文摘目的探讨二维相位对比(2D phase contrast,2D PC)磁共振成像(magnetic resonance imaging,MRI)序列在定量分析髂静脉压迫综合征(iliac vein compression syndrome,IVCS)患者静脉管腔内血液平均流速(mean blood flow velocity,MV)的应用价值。材料与方法前瞻性招募2023年12月到2024年7月在本院经数字减影血管造影(digital subtraction angiography,DSA)诊断明确为IVCS且需要血管腔内介入治疗的患者30例(试验组)及10名健康志愿者(对照组),收集患者临床资料并行1.5 T飞利浦超导MRI检查,在自由稳态进动(balance fast field echo,B-FFE)序列图像基础上分别在下腔静脉、双侧髂外静脉的冠状位、矢状位及轴位图上垂直扫描2D PC MRI序列,使用定量流量(quantitative flow,Q_FLOW)后处理软件得到血管垂直横切面感兴趣区(region of interest,ROI)内MV值。所有2D PC MRI检查进行两次,通过分析两次扫描结果的一致性(Bland-Altman图)来验证序列稳定性;分别比较IVCS试验组与对照组双侧髂外静脉MV值,评估IVCS患者髂总静脉受压对远端血流的影响;比较IVCS试验组(健侧髂外MV-患侧髂外MV)与对照组(右侧髂外MV-左侧髂外MV)髂外静脉MV差值,分析流速差诊断IVCS的效能;术中通过中心静脉导管(central venous catheter,CVC)测量IVCS患者组髂-下腔静脉压力梯度,并与患侧髂外静脉MV值进行相关性分析。结果两次2D PC MRI扫描结果一致性良好(P均<0.001);试验组患侧髂外静脉血液流速低于健侧(P<0.001),对照组双侧髂外静脉MV值差异没有统计学意义(P=0.518);使用双侧髂外静脉MV差值诊断IVCS效能高,AUC为0.939(95%CI:0.887~0.991),敏感度为81.7%,特异度为100.0%;术中CVC测量压力梯度结果与狭窄静脉远心端MV呈负相关(r=-0.951,P<0.001)。结论2D PC MRI定量分析IVCS患者静脉血液流速结果稳定、可靠,双侧髂外静脉MV差值诊断IVCS特异性高,IVCS患者髂外静脉MV值与髂-下腔静脉压力梯度符合伯努利原理,2D PC MRI可作为一种无创诊断IVCS及间接评估静脉血流压力的工具,为IVCS患者血管腔内介入治疗的手术指征提供重要参考。
