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Study on the phytoplankton community structure and its driving factors in Furong Creek during spring and autumn under the influence of cascade weirs
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作者 REN Jiangshan YU Jun +2 位作者 LI Jingjuan LYU Jianzhang WANG Xiaogang 《水利水电技术(中英文)》 北大核心 2025年第3期171-185,共15页
[Objective]The construction of weirs changes the hydraulic characteristics of rivers and affects the structure of phytoplankton communities and the health of aquatic ecosystems in the river.This study aims to explore ... [Objective]The construction of weirs changes the hydraulic characteristics of rivers and affects the structure of phytoplankton communities and the health of aquatic ecosystems in the river.This study aims to explore the nonlinear response relationship between phytoplankton community structure and its driving factors in spring and autumn in Furong Creek under the construction of cascade weirs.[Methods]The structure of phytoplankton communities and related environmental factors were investigated in Furong Creek from 2023 to 2024.This study focused on the analysis of the changes of nutrient concentrations and biomass of phytoplankton in autumn and spring within the same dry season in Furong Creek.Redundancy analysis was used to identify the key factors influencing the structure of phytoplankton communities.The MIKE 11 model was employed to simulate the hydrodynamic changes in the river.Combined with total nitrogen and permanganate index,a GAM model of phytoplankton diversity index and hydrodynamic factors was developed,and the change of phytoplankton diversity after the optimized layout of the cascade weirs was fitted.[Results]The result showed that the annual average value of Shannon-Wiener diversity index of phytoplankton in Furong Creek was 2.79,which was in a state of mild pollution.A total of 239 species from 95 genera in 8 phyla were identified.Among the phytoplankton,Chlorophyta was the dominant group throughout the year in Furong Creek,followed by Bacillariophyta and Cyanophyta.The cell abundance of phytoplankton ranged from 3.11 to 20.64 mg/L and from 0.23 to 6.31 mg/L in spring and autumn,which indicated a clear seasonal succession of phytoplankton community structure.Compared with autumn,the relative abundance of Cyanophyta significantly decreased in spring across the whole river section,while Chrysophyta and Dinophyta showed significant increase at some monitoring sites,leading to water bloom phenomenon and a noticeable decline in the diversity of phytoplankton.The dominant species in the water bodies throughout the year were Cyclotella catenata,Chlorella vulgaris,Scenedesmus bijuga,Scenedesmus quadricauda,Chroomonas acuta,Cryptomonas ovata,and Cryptomonas erosa.Redundancy analysis(RDA)showed that hydrodynamic factors(v,h)and water environmental factors(TN,COD_(Mn))were the main influencing factors of phytoplankton community structure.[Conclusion]The result show that the nutrient concentration,phytoplankton biomass,and density in Furong Creek in spring are significantly higher than in autumn.The GAM model,constructed by combining hydrodynamic and environmental factors,can effectively reflect the nonlinear relationship between phytoplankton diversity index and its driving factors.In spring,with an increase in nutrient concentration,the habitat conditions of low flow speed and high water depths formed by overflow weirs will lead to a decrease in the Shannon-Wiener index of phytoplankton and an intensified risk of eutrophication.However,a reasonable layout scheme of cascade weirs will improve the diversity of phytoplankton and reduce the risk of eutrophication in the river.The findings of this study can help deepen the understanding of the ecological and environmental effects of cascade weir construction in the river. 展开更多
关键词 cascade weirs MIKE 11 model redundancy analysis GAM model influencing factors
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Evaluation of scale effects in physical modeling of combined ogee and sharp-crested weir flow using a 3D CFD model
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作者 James Zulfan Bobby Minola Ginting Ravi Anthony Tartandyo 《Water Science and Engineering》 2025年第2期225-235,共11页
Research on scale effects on flows over weirs has been conducted on a limited basis, primarily focusing on flows upstream of a single-type weir, such as ogee, broad-crested, and sharp-crested (linear and non-linear) w... Research on scale effects on flows over weirs has been conducted on a limited basis, primarily focusing on flows upstream of a single-type weir, such as ogee, broad-crested, and sharp-crested (linear and non-linear) weirs. However, the scale effects downstream of these single-type weirs have not been thoroughly investigated. This study examined the scale effects on flows over a combined weir system consisting of an ogee weir and a sharp-crested weir, both upstream and downstream, utilizing physical modeling at a 1:33.33 scale based on Froude similarity and three-dimensional (3D) computational fluid dynamics (CFD) modeling. The sharp-crested weir in this study was represented by two sluice gates that remain closed and submerged during flood events. The experimental data confirmed that the equivalent discharge coefficients of the combined weir system behaved similarly to those of a sharp-crested weir across various H/P (where H is the total head, and P is the weir height) values. However, scale effects on the discharge rating curve due to surface tension and viscosity could only be minimized when H/P > 0.4, Re > 26 959, and We > 240 (where Re and We are the Reynolds and Weber numbers, respectively), provided that the water depth exceeded 0.042 m above the crest. Additionally, Re greater than 4 × 104 was necessary to minimize scale effects caused by viscosity in flows in the spillway channel and stilling basin (with baffle blocks). The limiting criteria aligned closely with existing literature. This study offers valuable insights for practical applications in hydraulic engineering in the future. 展开更多
关键词 3D CFD Ogee weir Physical modeling Sharp-crested weir Sluice gate Scale effects
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一类非光滑规划问题的Mond Weir和Wolf对偶 被引量:3
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作者 赵克全 罗杰 唐莉萍 《重庆师范大学学报(自然科学版)》 CAS 2010年第1期7-10,25,共5页
本文考虑带等式和不等式约束的非光滑B-(p,r)单目标规划的对偶问题,研究了函数λf+∑im=1μigi+∑jp=1vjhj为严格B-(p,r)不变凸性条件下Mond Weri对偶模型的弱对偶、强对偶、逆对偶和严格逆对偶,函数f+∑im=1μigi+∑jp=1vjhj为B-(p,r)... 本文考虑带等式和不等式约束的非光滑B-(p,r)单目标规划的对偶问题,研究了函数λf+∑im=1μigi+∑jp=1vjhj为严格B-(p,r)不变凸性条件下Mond Weri对偶模型的弱对偶、强对偶、逆对偶和严格逆对偶,函数f+∑im=1μigi+∑jp=1vjhj为B-(p,r)不变凸性条件下Wolf对偶模型的弱对偶和强对偶以及严格B-(p,r)不变凸性条件下限制逆对偶和严格逆对偶。在无约束规格的条件下证明了该类非光滑规划问题的Mond Weir和Wolf对偶模型相应的对偶性结果。本文的结果是对最近一些文献中相应结果的改进与完善。 展开更多
关键词 B-(p r)不变凸性 MOND weir对偶 Wolf对偶 非光滑规划
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锥方向高阶广义邻近导数及高阶Mond-Weir对偶(英文) 被引量:7
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作者 王其林 《数学进展》 CSCD 北大核心 2011年第5期537-548,共12页
本文引入了集值映射的锥方向的高阶广义邻近导数.应用这种导数,构建了约束的集值优化问题的一种高阶Mond-Weir型对偶,并建立了相应的弱对偶,强对偶和逆对偶性,获得的结果推广了文献中的相应结论.
关键词 集值优化 锥方向高阶广义邻近导数 弱极小解 高阶Mond—weir对偶
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B-(p,r)-预不变凸规划的Mond-Weir对偶问题研究 被引量:3
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作者 万轩 彭再云 《重庆师范大学学报(自然科学版)》 CAS 2011年第1期1-6,17,共7页
B-(p,r)-预不变凸函数是一类新的广义凸函数,它是B-(p,r)-不变凸函数的推广,本文对其性质及B-(p,r)-预不变凸多目标规划问题的Mond-Weir型对偶进行了研究。首先,给出了B-(p,r)-预不变凸函数的几个基本性质,表明B-(p,r)-预不变凸函数仍... B-(p,r)-预不变凸函数是一类新的广义凸函数,它是B-(p,r)-不变凸函数的推广,本文对其性质及B-(p,r)-预不变凸多目标规划问题的Mond-Weir型对偶进行了研究。首先,给出了B-(p,r)-预不变凸函数的几个基本性质,表明B-(p,r)-预不变凸函数仍然满足加法,数乘和复合函数运算性质,并举例说明了B-(p,r)-预不变凸函数是B-(p,r)-不变凸函数的真推广。然后,重点讨论了B-(p,r)-预不变凸多目标规划问题及其Mond-Weir型对偶问题的解的情况。分别给出了关于目标函数和约束函数均可微的多目标规划问题(VP)在B-(p,r)-预不变凸型条件下的弱对偶、强对偶和严格逆对偶定理。其结论具有一般性,推广了涉及预不变凸函数、B-预不变凸函数和(p,r)-预不变凸函数的文献的相关结论。 展开更多
关键词 B-(p r)-预不变凸函数 多目标规划 MOND-weir型对偶
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一致(F_d,ρ)-凸多目标半无限规划的Mornd-Weir型对偶性 被引量:2
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作者 杨宏 杨勇 王宇 《纺织高校基础科学学报》 CAS 2010年第2期160-164,169,共6页
为了丰富非光滑优化的理论,在一致(Fb,ρ)-凸、一致(Fb,ρ)-伪凸和一致(Fb,ρ)-拟凸等一类非光滑非凸函数的基础上,利用反证法,得到了涉及此类广义凸性的一类非光滑多目标半无限规划的一些Mond-Weir型对偶性结果.
关键词 非光滑 多目标半无限规划 MOND-weir型对偶 一致(Fb ρ)-凸函数
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可凸化因子与Mond-Weir型对偶
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作者 周厚春 杨正豪 《淮阴师范学院学报(自然科学版)》 CAS 2003年第2期91-94,共4页
利用可凸化因子的定义和性质,建立了一类不可微数学规划的Mond Weir型对偶,在广义凸性条件下,证明了弱对偶定理和强对偶定理,并通过具体例子说明,本文建立的对偶模型不能被简化为传统形式.
关键词 可凸化因子 Mond—weir型对偶 不可微数学规划 广义凸性条件 弱对偶定理 强对偶定理
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(F,α,ρ,d)-对称凸性下多目标规划的MOND-WEIR型对偶 被引量:6
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作者 李丽 张庆祥 《延安大学学报(自然科学版)》 2009年第2期14-17,共4页
在(F,α,ρ,d)-对称凸的基础上研究了多目标规划的Mond-Weir型对偶性,并获得了一些弱对偶和强对偶定理。
关键词 (F α ρ d)-对称凸的 MOND-weir型对偶 对称梯度 弱对偶性 强对偶性
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集值优化问题超有效解的高阶Mond-Weir对偶
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作者 徐义红 韩倩倩 涂相求 《应用泛函分析学报》 CSCD 2013年第3期234-238,共5页
在实赋范线性空间中利用锥方向高阶广义邻接导数研究带约束的集值优化在超有效解意义下的高阶Mond-Weir对偶问题.在广义锥-凸假设下,利用锥方向高阶广义邻接导数的性质借助凸集分离定理得到了强对偶定理.利用超有效点的标量化定理得到... 在实赋范线性空间中利用锥方向高阶广义邻接导数研究带约束的集值优化在超有效解意义下的高阶Mond-Weir对偶问题.在广义锥-凸假设下,利用锥方向高阶广义邻接导数的性质借助凸集分离定理得到了强对偶定理.利用超有效点的标量化定理得到逆对偶定理. 展开更多
关键词 超有效解 锥方向高阶广义邻接导数 高阶Mond-weir对偶
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均衡约束数学规划问题的一类广义Mond-Weir型对偶理论
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作者 高雷阜 闫婷婷 《运筹学学报》 北大核心 2019年第2期95-103,共9页
针对均衡约束数学规划模型难以满足约束规范及难于求解的问题,基于Mond和Weir提出的标准非线性规划的对偶形式,利用其S稳定性,建立了均衡约束数学规划问题的一类广义Mond-Weir型对偶,从而为求解均衡约束优化问题提供了一种新的方法.在Ha... 针对均衡约束数学规划模型难以满足约束规范及难于求解的问题,基于Mond和Weir提出的标准非线性规划的对偶形式,利用其S稳定性,建立了均衡约束数学规划问题的一类广义Mond-Weir型对偶,从而为求解均衡约束优化问题提供了一种新的方法.在Hanson-Mond广义凸性条件下,利用次线性函数,分别提出了弱对偶性、强对偶性和严格逆对偶性定理,并给出了相应证明.该对偶化方法的推广为研究均衡约束数学规划问题的解提供了理论依据. 展开更多
关键词 均衡约束数学规划 广义Mond-weir型对偶 稳定点
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集值优化问题强有效元的高阶Mond-Weir型对偶
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作者 谢雪军 《宜春学院学报》 2016年第12期42-45,共4页
在Banach空间中研究集值优化在强有效元意义下的高阶Mond-weir型对偶问题。在内部锥类凸假设下,利用高阶Contingent切导数的性质,借助凸集分离定理建立了强对偶定理,并得到了逆对偶问题。
关键词 强有效元 m-阶Contingent切导数 高阶Mond-weir型对偶 最优性条件
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一类不可微多目标规划的Mond-Weir型对偶 被引量:5
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作者 赵洁 《重庆师范大学学报(自然科学版)》 CAS CSCD 北大核心 2017年第3期1-5,共5页
【目的】研究了一类不可微的多目标规划问题,其中目标函数包含支撑函数,约束包含等式和不等式。【方法】给出了该问题的一类Mond-Weir型对偶模型,利用G-KKT最优性必要条件和G-不变凸性证明了原问题与对偶问题的对偶结果。【结果】在适... 【目的】研究了一类不可微的多目标规划问题,其中目标函数包含支撑函数,约束包含等式和不等式。【方法】给出了该问题的一类Mond-Weir型对偶模型,利用G-KKT最优性必要条件和G-不变凸性证明了原问题与对偶问题的对偶结果。【结果】在适当条件下,得到该问题与对偶问题的弱对偶定理、强对偶定理、逆对偶定理和非极大逆对偶定理,并进行了证明。【结论】将相关结论推广到了非可微情形。 展开更多
关键词 不可微规划 多目标规划 MOND-weir型对偶 G-不变凸
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Fluid Flow in Tundish Due to Different Type Arrangement of Weir and Dam 被引量:8
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作者 Yanping Bao, Wei Jiang,Baomei Xu, Haizhong Zhang Metallurgy School, University of Science and Technology Beijing, Beijing 100083, China E-mail: baoyp@metall .ustb .edu. cn 《Journal of University of Science and Technology Beijing》 CSCD 2002年第1期13-15,共3页
Tundish is an important metallurgical reactor in the continuous castingprocess. In order to control the fluid flow in tundish and thus take full advantage of the residencetime available for the removal of inclusions f... Tundish is an important metallurgical reactor in the continuous castingprocess. In order to control the fluid flow in tundish and thus take full advantage of the residencetime available for the removal of inclusions from molten steel, the effect of weir and dam on thefluid flow has been studied in a water model based on the characteristic number Froude and Reynoldnumber similarity criteria. The residence time distribution curves of the flow were measured bySG800. The optimum arrangement of darn and weir and the nonstationary flow in tundish werediscussed. The results show that the combination of weir and dam is benefit for the flow pattern intundish, weir can prevent the upper recirculating flow, dam can cut off the bottom flow and turn toupwards, it is advantageous to separate the nonmetallic inclusions. Furthermore, it is important toexceed the critical depth of bath during exchange ladles, not only for the inclusion floatation butalso for avoiding tundish slag drainage earlier. 展开更多
关键词 TUNDISH fluid flow weir and dam water model
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Experimental and numerical analysis of flow over a rectangular full-width sharp-crested weir 被引量:1
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作者 Ghorban Mahtabi Hadi Arvanaghi 《Water Science and Engineering》 EI CAS CSCD 2018年第1期75-80,共6页
Weirs are a type of hydraulic structure, used for water level adjustment, flow measurement, and diversion of water in irrigation systems. In this study, experiments were conducted on sharp-crested weirs under free-flo... Weirs are a type of hydraulic structure, used for water level adjustment, flow measurement, and diversion of water in irrigation systems. In this study, experiments were conducted on sharp-crested weirs under free-flow conditions and an optimization method was used to determine the best form of the discharge coefficient equation based on the coefficient of determination (R2) and root mean square error (RMSE). The ability of the numerical method to simulate the flow over the weir was also investigated using Fluent software. Results showed that, with an increase of the ratio of the head over the weir crest to the weir height (h/P), the discharge coefficient decreased nonlinearly and reached a constant value of 0.7 for hiP 〉 0.6. The best form of the discharge coefficient equation predicted the discharge coefficient well and percent errors were within a ±5% error limit. Numerical results of the discharge coefficient showed strong agreement with the experimental data. Variation of the discharge coefficient with Reynolds numbers showed that the discharge coefficient reached a constant value of 0.7 when hiP 〉 0.6 and Re 〉 20000. 展开更多
关键词 Discharge coefficient Measurement Numerical model Sharp-crested weir weir height
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Fluid-structure interaction in Z-shaped pipe with different supports 被引量:4
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作者 Q.Guo J.X.Zhou X.L.Guan 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2020年第2期513-523,共11页
Fluid-structure interaction(FSI)has a strong relation with layout of fluid delivery system.FSI is liable to cause local damage.Thus,FSI analysis is necessary in many cases,especially for flexible pipe systems.FSI mode... Fluid-structure interaction(FSI)has a strong relation with layout of fluid delivery system.FSI is liable to cause local damage.Thus,FSI analysis is necessary in many cases,especially for flexible pipe systems.FSI modeling consists of eight governing equations and then completely solved via the finite volume method(FVM).Friction,Poisson and joint couplings were discussed in detail to reveal the influence of a Z-shaped pipe with different supports and elbows on FSI.After the feasibility of solving FSI by FVM was verified,the different effects of free,fixed and elastic supports on FSI in the commonly used and simplified Z-shaped pipe were further analyzed.Results indicated that different support stiffness lead to various FSI responses.If coupling occurs at the elbow and less support is considered,then the pipe has a relatively large amplitude and complex pressure fluctuation. 展开更多
关键词 Fluid-structure interaction Finite volume method z-shaped pipe Support stiffness
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Experimental study on discharge coefficient of a gear-shaped weir 被引量:1
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作者 Jing Zhang Qian Chang +1 位作者 Qing-hua Zhang Shu-ning Li 《Water Science and Engineering》 EI CAS CSCD 2018年第3期258-264,共7页
This study focused on hydraulic characteristics around a gear-shaped weir in a straight channel. Systematic experiments were carried out for weirs with two different gear heights and eight groups of geometrical parame... This study focused on hydraulic characteristics around a gear-shaped weir in a straight channel. Systematic experiments were carried out for weirs with two different gear heights and eight groups of geometrical parameters. The impacts of various geometrical parameters of gear-shaped weirs on the discharge capacity were investigated. The following conclusions are drawn from the experimental study:(1) The discharge coefficient(m_c) was influenced by the size of the gear: at a constant discharge, the weir with larger values of a/b(a is the width of the gear, and b is the width between the two neighboring gears) and a/c(c is the height of the gear) had a smaller value of m_c. The discharge capacity of the gear-shaped weir was influenced by the water depth in the weir.(2) For type C1 with a gear height of 0.01 m, when the discharge was less than 60m^3/h and H_1=P < 1.0(H_1 is the water depth at the low weir crest, and P is the weir height), m_c significantly increased with the discharge and H_1=P; with further increases of the discharge and H_1=P, m_cshowed insignificant decreases and fluctuated within small ranges. For type C2 with a gear height of 0.02 m, when the discharge was less than 60m^3/h and H_1=P < 1.0, m_csignificantly increased with the discharge and H_1=P; when the discharge was larger than 60m^3/h and H_1=P > 1.0, m_c slowly decreased with the increases of the discharge and H_1=P for a=b 1.0 and a=c 1.0, and slowly increased with the discharge and H_1=P for a=b > 1.0 and a=c > 1.0.(3) A formula of m_cfor gear-shaped weirs was established based on the principle of weir flow, with consideration of the water depth in the weir, the weir height and width, and the height of the gear. 展开更多
关键词 Experimental study DISCHARGE COEFFICIENT DISCHARGE capacity Gear-shaped weir GEOMETRICAL parameter
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Outcome Assessment of Z-shaped Osteotomy in the Management of Humeral Shaft Nonunion Secondary to Failed Plate Osteosynthesis 被引量:2
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作者 Dong CHEN Jie LIU Shao-hua LI 《Current Medical Science》 SCIE CAS 2019年第3期426-430,共5页
Restoration of fracture alignment by osteotomy is crucial for the management of humeral nonunion. In the present study, we introduced a new way of osteotomy (Z-shaped) in treating humeral shaft nonunion secondary to f... Restoration of fracture alignment by osteotomy is crucial for the management of humeral nonunion. In the present study, we introduced a new way of osteotomy (Z-shaped) in treating humeral shaft nonunion secondary to failed plate osteosynthesis. Clinical data of 24 patients with humeral shaft nonunion following implant failure (from 2010 to 2014) were retrospectively evaluated. These patients underwent Z-shaped osteotomy in revision surgery after the initial surgery, plate osteosynthesis, was failed. Outcomes were evaluated using visual analogue scale (VAS) and Constant and Murley score. Repeated analysis of variance (ANOVA) was used for statistical analysis. Patients were followed up for a minimum of 24 months (26.83±4.33 months). The operative time was 102.33±10.16 min, and hospital stay averaged 9.75±2.13 days. All patients achieved clinical union at the latest follow-up. Complications included radial palsy (n=1) and superficial wound infection (n=1). The postoperative VAS scores decreased significantly compared to preoperative score (F=257.99, P<0.01). Constant and Murley score increased and reached 81.33±0.95 at 24 months' follow-up 0=247.35, P<0.01). Among all the cases, 15 cases were graded as "excellent", and 9 as "good". In conclusion, Z-shaped osteotomy was easy to perform, and it provided additional medial support with more bone contact areas. Revision surgery using locking plate and Z-shaped osteotomy achieved high union rate and improved functional outcome. It was a reasonable and safe option for treating humeral nonunion following implant failure. 展开更多
关键词 z-shaped OSTEOTOMY HUMERAL shaft NONUNION implant failure
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NUMERICAL AND EXPERIMENTAL INVESTIGATION OF FLOW OVER A SEMICIRCULAR WEIR 被引量:1
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作者 刘春嵘 呼和敖德 马文驹 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2002年第6期594-602,共9页
The water flow over a semicircular weir is investigated numerically and experimentally in this paper. The numerical model solves the Reynolds equation for a mean flow field with thek-ε-turbulent model. To trace the m... The water flow over a semicircular weir is investigated numerically and experimentally in this paper. The numerical model solves the Reynolds equation for a mean flow field with thek-ε-turbulent model. To trace the motion of the free surface, the COF method with geometric reconstruction is employed. The velocity of the flow is measured by means of LDV technique. Four types of flow patterns, the position of the separation and reattachment point, the distribution of shear stress on the bed at downstream of the weir are presented and discussed. The numerical results agree well with the experiment data. 展开更多
关键词 flow over semicircular weir numerical modeling VOF method shear stress LDV technique
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(p,r)_(h,φ)-不变凸多目标规划的Mond-Weir型对偶性
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作者 高颖 张庆祥 《科学技术与工程》 2011年第34期8401-8404,8408,共5页
在(p,r)-η不变凸函数的基础上定义了(p,r)h,φ-不变凸函数及严格(p,r)h,φ-不变凸函数的概念,并在此基础上得到了多目标规划的Mond-Weir型对偶性。
关键词 (p r)h φ不变凸函数 有效解 多目标规划 Mond—weir 对偶性
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Modified theoretical stage-discharge relation for circular sharp-crested weirs 被引量:1
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作者 Rasool GHOBADIAN Ensiyeh MERATIFASHI 《Water Science and Engineering》 EI CAS 2012年第1期26-33,共8页
A circular sharp-crested weir is a circular control section used for measuring flow in open channels, reservoirs, and tanks. As flow measuring devices in open channels, these weirs are placed perpendicular to the side... A circular sharp-crested weir is a circular control section used for measuring flow in open channels, reservoirs, and tanks. As flow measuring devices in open channels, these weirs are placed perpendicular to the sides and bottoms of straight-approach channels. Considering the complex patterns of flow passing over circular sharp-crested weirs, an equation having experimental correlation coefficients was used to extract a stage-discharge relation for weirs. Assuming the occurrence of critical flow over the weir crest, a theoretical stage-discharge relation was obtained in this study by solving two extracted non-linear equations. To study the precision of the theoretical stage-discharge relation, 58 experiments were performed on six circular weirs with different diameters and crest heights in a 30 cm-wide flume. The results show that, for each stage above the weirs, the theoretically calculated discharge is less than the measured discharge, and this difference increases with the stage. Finally, the theoretical stage-discharge relation was modified by exerting a correction coefficient which is a function of the ratio of the upstream flow depth to the weir crest height. The results show that the modified stage-discharge relation is in good agreement with the measured results. 展开更多
关键词 circular weir stage-discharge relation analytical method
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