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Seismic performance evaluation of water supply pipes installed in a full-scale RC frame structure based on a shaking table test 被引量:1
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作者 Wu Houli Guo Endong +2 位作者 Wang Jingyi Dai Xin Dai Chenxi 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2024年第1期163-178,共16页
As an important part of nonstructural components,the seismic response of indoor water supply pipes deserves much attention.This paper presents shaking table test research on water supply pipes installed in a full-scal... As an important part of nonstructural components,the seismic response of indoor water supply pipes deserves much attention.This paper presents shaking table test research on water supply pipes installed in a full-scale reinforced concrete(RC)frame structure.Different material pipes and different methods for penetrating the reinforced concrete floors are combined to evaluate the difference in seismic performance.Floor response spectra and pipe acceleration amplification factors based on test data are discussed and compared with code provisions.A seismic fragility study of displacement demand is conducted based on numerical simulation.The acceleration response and displacement response of different combinations are compared.The results show that the combination of different pipe materials and different passing-through methods can cause obvious differences in the seismic response of indoor riser pipes. 展开更多
关键词 water supply pipe different materials shaking table test amplification factor seismic fragility
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Application of Ice Pigging in a Drinking Water Distribution System:Impacts on Pipes and Bulk Water Quality
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作者 Yujing Huang Zhiwei Chen +4 位作者 Guilin He Yu Shao Shuang Song Feilong Dong Tuqiao Zhang 《Engineering》 SCIE EI CAS CSCD 2024年第9期122-130,共9页
Ice pigging is an emerging technique for pipe cleaning in drinking water distribution systems.However,substantial confusion and controversy exist on the potential impacts of ice pigging on bulk water quality.This stud... Ice pigging is an emerging technique for pipe cleaning in drinking water distribution systems.However,substantial confusion and controversy exist on the potential impacts of ice pigging on bulk water quality.This study monitored the microstructural features and composition of sediments and microbial community structures in bulk water in eight multimaterial Chinese networks.Chloride concentration analysis demonstrated that separate cleaning of pipes with different materials in complex networks could mitigate the risk of losing ice pigs and degrading water quality.The microstructural and trace element characterization results showed that ice pigs would scarcely disturb the inner surfaces of long-used pipes.The bacterial richness and diversity of bulk water decreased significantly after ice pigging.Furthermore,correlations were established between pipe service age,temperature,and chloride and total iron concentrations,and the 15 most abundant taxa in bulk water,which could be used to guide practical ice pigging operations. 展开更多
关键词 Ice pigging pipe cleaning Drinking water distribution system Bacterial community SEDIMENTS
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Calculation of Mass Concrete Temperature Containing Cooling Water Pipe Based on Substructure and Iteration Algorithm
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作者 Heng Zhang Chao Su +2 位作者 Zhizhong Song Zhenzhong Shen Huiguang Lei 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第1期813-826,共14页
Mathematical physics equations are often utilized to describe physical phenomena in various fields of science and engineering.One such equation is the Fourier equation,which is a commonly used and effective method for... Mathematical physics equations are often utilized to describe physical phenomena in various fields of science and engineering.One such equation is the Fourier equation,which is a commonly used and effective method for evaluating the effectiveness of temperature control measures for mass concrete.One important measure for temperature control in mass concrete is the use of cooling water pipes.However,the mismatch of grids between large-scale concrete models and small-scale cooling pipe models can result in a significant waste of calculation time when using the finite element method.Moreover,the temperature of the water in the cooling pipe needs to be iteratively calculated during the thermal transfer process.The substructure method can effectively solve this problem,and it has been validated by scholars.The Abaqus/Python secondary development technology provides engineers with enough flexibility to combine the substructure method with an iteration algorithm,which enables the creation of a parametric modeling calculation for cooling water pipes.This paper proposes such a method,which involves iterating the water pipe boundary and establishing the water pipe unit substructure to numerically simulate the concrete temperature field that contains a cooling water pipe.To verify the feasibility and accuracy of the proposed method,two classic numerical examples were analyzed.The results showed that this method has good applicability in cooling pipe calculations.When the value of the iteration parameterαis 0.4,the boundary temperature of the cooling water pipes can meet the accuracy requirements after 4∼5 iterations,effectively improving the computational efficiency.Overall,this approach provides a useful tool for engineers to analyze the temperature control measures accurately and efficiently for mass concrete,such as cooling water pipes,using Abaqus/Python secondary development. 展开更多
关键词 Fourier equation cooling water pipe mass concrete iteration algorithm
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Selection of Water Transmission Method and Analysis of Pipe Network Zoning in Municipal Water Supply and Drainage Design
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作者 Liang Liu 《Journal of World Architecture》 2024年第2期56-61,共6页
With the acceleration of urbanization,the demand for water supply and drainage pipe networks has increased significantly.In the planning of urban construction,it is necessary to optimize the design of the water supply... With the acceleration of urbanization,the demand for water supply and drainage pipe networks has increased significantly.In the planning of urban construction,it is necessary to optimize the design of the water supply and drainage system pipe network to effectively save energy while providing residents with more accessible water resources.Therefore,the municipal water supply and drainage system and the water transmission methods should be designed according to the geographical conditions of the city.In this paper,we mainly analyze the design of municipal water supply and drainage systems and the selection of water transmission methods.Besides,the optimization of the water supply and drainage network zoning process and pipe network maintenance is also discussed,so as to provide a reference for municipal water supply and drainage work. 展开更多
关键词 Municipal water supply and drainage design water transmission method pipe network zoning maintenance
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Analysis of Municipal Water Supply and Drainage Pipe Design Technology
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作者 Liang Liu 《Journal of Architectural Research and Development》 2024年第3期69-74,共6页
The quality and safety of residents’water rely heavily on the design of municipal water supply and drainage pipes.Therefore,this paper aims to enhance the optimization of municipal water supply and drainage pipe desi... The quality and safety of residents’water rely heavily on the design of municipal water supply and drainage pipes.Therefore,this paper aims to enhance the optimization of municipal water supply and drainage pipe design by focusing on design requirements,principles,and key elements.Drawing from relevant design optimization experiences,technology advancements,and optimization measures,the research will analyze and consolidate the essential aspects of municipal water supply and drainage pipe design.The goal is to fundamentally elevate the quality standards of these designs,ensuring they meet the criteria for engineering project excellence.Through this comprehensive approach,we aim to contribute to the improvement and sustainability of water supply and drainage systems,safeguarding the well-being of residents. 展开更多
关键词 Municipal water supply and drainage pipe layout RAINwater SEWAGE Design technology
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基于KY PIPE的管道输水工程停泵水锤分析及防护方案研究
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作者 顾元皓 牧振伟 +2 位作者 周镇 曹伟 张磊 《水电能源科学》 北大核心 2024年第4期168-172,共5页
当长距离有压输水工程因事故突然断电停泵时,易产生停泵水锤,危害输水系统的安全运行。为减轻停泵水锤对泵站等管道输水系统的危害,基于实际工程,使用KY PIPE 2022软件建立了相应的水锤计算模型,通过数值模拟探究输水系统停泵水锤水力... 当长距离有压输水工程因事故突然断电停泵时,易产生停泵水锤,危害输水系统的安全运行。为减轻停泵水锤对泵站等管道输水系统的危害,基于实际工程,使用KY PIPE 2022软件建立了相应的水锤计算模型,通过数值模拟探究输水系统停泵水锤水力过渡全过程,讨论了两阶段缓闭式止回阀不同关阀程序和气囊式空气罐不同布置方式对水锤防护效果的影响规律。结果表明,止回阀两阶段关阀程序优于线性关阀程序;对于管线前端负压较轻的输水工程,气囊式空气罐在管线中部串联布置相较于首尾布置有更好的经济性和可行性。气囊式空气罐、空气阀和两阶段缓闭式止回阀联合防护方案可有效抑制水泵倒转和水体倒流现象,有效控制管内最大正压和负压,使各项关键参数满足规范要求。 展开更多
关键词 水锤防护 停泵水锤 联合防护 空气罐 空气阀
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Application of Dynamic Programming Method in Optimization of Water Distribution Pipe Network 被引量:2
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作者 樊鹏 王莹 +1 位作者 杨建波 杨青伟 《Agricultural Science & Technology》 CAS 2014年第4期703-705,共3页
With a water-supply network by dynamic programming. The minimal as an example, the network was optimized annual discounted costs were taken as an objective function and node pressure etc. as constraint conditions. The... With a water-supply network by dynamic programming. The minimal as an example, the network was optimized annual discounted costs were taken as an objective function and node pressure etc. as constraint conditions. The alternative pipe diameters were optimized as per enumeration method and the group allowing objective function with the least values would be the optimized one. It is proved the optimized pipe network reduced by 11.49% in terms of cost and the optimized ben- efits proved much significant. 展开更多
关键词 DYNAMICPROGRAMMING water distribution pipe network OPTIMIZATION
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Analysis on Shock Wave Speed of Water Hammer of Lifting Pipes for Deep-Sea Mining 被引量:6
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作者 周知进 阳宁 王钊 《China Ocean Engineering》 SCIE EI CSCD 2013年第2期205-214,共10页
Water hammer occurs whenever the fluid velocity in vertical lifting pipe systems for deep-sea mining suddenly changes. In this work, the shock wave was proven to play an important role in changing pressures and period... Water hammer occurs whenever the fluid velocity in vertical lifting pipe systems for deep-sea mining suddenly changes. In this work, the shock wave was proven to play an important role in changing pressures and periods, and mathematical and numerical modeling technology was presented for simulated transient pressure in the abnormal pump operation. As volume concentrations were taken into account of shock wave speed, the experiment results about the pressure-time history, discharge-time history and period for the lifting pipe system showed that: as its concentrations rose up, the maximum transient pressure went down, so did its discharges; when its volume concentrations increased gradually, the period numbers of pressure decay were getting less and less, and the corresponding shock wave speed decreased. These results have highly coincided with simulation results. The conclusions are important to design lifting transporting system to prevent water hammer in order to avoid potentially devastating consequences, such as damage to components and equipment and risks to personnel. 展开更多
关键词 lifting pipe for transporting coarse particles abnormal pump operation fluid transients water hammer shock wave speed
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Simulation investigation on fluid characteristics of jet pipe water hydraulic servo valve based on CFD 被引量:5
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作者 李如平 聂松林 +1 位作者 易孟林 阮俊 《Journal of Shanghai University(English Edition)》 CAS 2011年第3期201-206,共6页
Simulation investigation on fluid characteristics of the water hydraulic jet pipe servo valve (WHJPSV) is conducted through a commercial computational fluid dynamics (CFD) software package FLUENT. In particular, t... Simulation investigation on fluid characteristics of the water hydraulic jet pipe servo valve (WHJPSV) is conducted through a commercial computational fluid dynamics (CFD) software package FLUENT. In particular, the factors to fluid characteristics of WHJPSV are addressed, which include diameter combination of jet pipe and receiver pipe, jet pipe nozzle clearance, angle between two jet receiver pipes and deflection angle of the jet pipe. It is concluded from the results that: (i) Structural parameters have great influences on fluid characteristics of WHJPSV, when d1 = d2 = 0.3 mm, α= 45 , b = 0.5 mm, and the simulation exhibits better fluid characteristics; (ii) The magnitude of the recovery pressure and flow velocity increase almost linearly with the deflection angle of jet pipe. The research work in this paper is important for determining and optimizing the structural parameters of the jet pipe and jet receiver. The relevant conclusions could be extended to the study of other water hydraulic servo control components. 展开更多
关键词 computional fluid dynamics (CFD) fluid characteristics jet pipe servo valve water hydraulics
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Optimal operation of water distribution networks under local pipe failures 被引量:3
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作者 田一梅 G.Y.FU +1 位作者 迟海燕 刘烨 《Journal of Central South University of Technology》 EI 2007年第3期436-441,共6页
The optimal operation of water distribution networks under local pipe failures, such as water main breaks, was proposed. Based on a hydraulic analysis and a simulation of water distribution networks, a macroscopic mod... The optimal operation of water distribution networks under local pipe failures, such as water main breaks, was proposed. Based on a hydraulic analysis and a simulation of water distribution networks, a macroscopic model for a network under a local pipe failure was established by the statistical regression. After the operation objectives under a local pipe failure were determined, the optimal operation model was developed and solved by the genetic algorithm. The program was developed and examined by a city distribution network. The optimal operation alternative shows that the electricity cost is saved approximately 11%, the income of the water corporation is increased approximately 5%, and the pressure in the water distribution network is distributed evenly to ensure the network safe operation. Therefore, the proposed method for optimal operation under local pipe failure is feasible and cost-effective. 展开更多
关键词 water distribution network local pipe failure macroscopic model optimal operation
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Investigation of the Leaching Behavior of Mortar Pipe Lining in Drinking Water 被引量:1
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作者 高岳毅 张亚梅 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2010年第5期893-896,共4页
The leaching behavior of three types of mortars was investigated using a self-design device which could simulate the field conditions of pipe lining. The results by ICP and ESEM measurement show that the developed sla... The leaching behavior of three types of mortars was investigated using a self-design device which could simulate the field conditions of pipe lining. The results by ICP and ESEM measurement show that the developed slag cement mortar is suitable for the lining of cast iron pipe that is used for delivering drinking water. 展开更多
关键词 LEACHING pipe lining drinking water slag cement
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New design solutions for low-power energy production in water pipe systems 被引量:1
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作者 Helena M.RAMOS Alexandre BORGA Mariana SIMO 《Water Science and Engineering》 EI CAS 2009年第4期69-84,共16页
This study is the result of ongoing research for a European Union 7th Framework Program Project regarding energy converters for very low heads, and aims to analyze optimization of new cost-effective hydraulic turbine ... This study is the result of ongoing research for a European Union 7th Framework Program Project regarding energy converters for very low heads, and aims to analyze optimization of new cost-effective hydraulic turbine designs for possible implementation in water supply systems (WSSs) or in other pressurized water pipe infrastructures, such as irrigation, wastewater, or drainage systems. A new methodology is presented based on a theoretical, technical and economic analysis. Viability studies focused on small power values for different pipe systems were investigated. Detailed analyses of alternative typical volumetric energy converters were conducted on the basis of mathematical and physical fundamentals as well as computational fluid dynamics (CFD) associated with the interaction between the flow conditions and the system operation. Important constraints (e.g., size, stability, efficiency, and continuous steady flow conditions) can be identified and a search for alternative rotary yolumetric converters is being conducted. As promising cost-effective solutions for the coming years, adapted rotor-dynamic turbomachines and non-conventional axial propeller devices were analyzed based on the basic principles of pumps operating as turbines, as well as through an extensive comparison between simulations and experimental tests. 展开更多
关键词 energy converter low-power energy water pipe system computational fluid dynamics (CFD) lab tests
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Effect of Pipe Diameter on Electrochemical Behavior of Stainless Steel Type 304 Pipes in Tap Water 被引量:1
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作者 Noriyuki Tanaka Shigeru Sato +4 位作者 Itaru Ikeda Tadahiko Uchida Motoki Kuratani Yutaka Yamada Osamu Sakurada 《Materials Sciences and Applications》 2019年第11期697-708,共12页
We investigated the effects of pipe diameter on the corrosion resistance of stainless steel type 304 pipes using electrochemical measurements. Compared to plate steel, pipes have harder physical properties and tend to... We investigated the effects of pipe diameter on the corrosion resistance of stainless steel type 304 pipes using electrochemical measurements. Compared to plate steel, pipes have harder physical properties and tend to be harder and showed greater permeability with decreasing inner diameter. We found that the maximum corrosion current density in the secondary active state, which is the starting point of secondary passivation, appeared in the polarization curve measurement in tap water. Similar to the Vickers hardness and the maximum current density in the secondary active state, the permeability tended to increase as the diameter decreased. This is thought to increase the amount of deformation-induced martensitic and increase corrosion susceptibility. The peak of the secondary active current density was clearly seen as the potential sweep speed was increased. In addition, potential sweep speed dependence was observed in the corrosion susceptibility evaluation of deformation-induced martensite. In comparison with acid treatment, the formation of deformation-induced martensite was considered to occur in the extreme surface layer. The maximum corrosion current density in the secondary active state is expected to be a new susceptibility evaluation method for evaluating the deformation-induced martensitic transformation. 展开更多
关键词 STAINLESS Steel TYPE 304 ELECTROCHEMICAL CONSIDERATION pipe Diameter ELECTROCHEMICAL Behavior TAP water
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Analysis on Buckling Performance of Submarine Pipelines During Deepwater Pipe-Laying Operation 被引量:12
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作者 袁林 龚顺风 +2 位作者 金伟良 李志刚 赵冬岩 《China Ocean Engineering》 SCIE EI 2009年第2期303-316,共14页
Pipes inevitably encounter high ambient pressure and bending moment during the deepwater pipe-laying process,which can lead to elliptical buckling and even deterioration failure.For the safety of pipe-laying operation... Pipes inevitably encounter high ambient pressure and bending moment during the deepwater pipe-laying process,which can lead to elliptical buckling and even deterioration failure.For the safety of pipe-laying operation,available formulas for the pipe stability are established on the basis of the assumption of uniform deformation along the tube length and symmetrical buckling.This method can predict the nonlinear response of elliptical collapse of steel circular tubes for different ratios of diameter to thickness(D/t)under pure bending or combined bending and external pressure.In these formulas,the strain-displacement relationship is deduced from the nonlinear ring theory,and the Ramberg-Osgood constitutive model is applied to simulate the inelastic material behavior.Meanwhile,the principle of virtual work is adopted to derive the equilibrium equations.A set of equations is solved by the Newton-Raphson method,and the iterative scheme contains nested iteration for the constitutive relation.In order to check the effectiveness of this theoretical method,illustrative examples are presented in this paper.Besides,the numerical simulation is carried out by use of ANSYS.A comparison of the results shows that the theoretical method can provide reasonable prediction for engineering practice. 展开更多
关键词 submarine pipeline BUCKLING deep water pipe-laying nonlinear ring theory virtual work principle numerical simulation
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Health Safety of Main Water Pipe Materials Supplied in China Market
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作者 KAI LU LIANG DING +7 位作者 HONG-WEI WANG HAI-NING JING XlAO-NING ZHAO SHAO-BIN LIN YA-DONG LI YIN-LONG JIN FENG-MAO LIU SHU-REN JIANG 《Biomedical and Environmental Sciences》 SCIE CAS CSCD 2006年第2期110-117,共8页
Objective To assess the health safety of copper, steel and plastic water pipes by field water quality investigations. Methods Four consumers were randomly selected for each type of water pipes. Two consumers of every ... Objective To assess the health safety of copper, steel and plastic water pipes by field water quality investigations. Methods Four consumers were randomly selected for each type of water pipes. Two consumers of every type of the water pipes had used the water pipes for more than 1 year and the other 2 consumers had used the water pipes for less than 3 months. The terminal volume of tap water in copper and steel water pipes should be not less than 0.1 liter, whereas that in plastic water pipes should be not less than 1 liter. Results The mean values of the experimental results in the second field water quality investigation of the copper and steel water pipes met the Sanitary Standards for Drinking Water Quality. The items of water sample of the plastic water pipes met the requirements of the Sanitary Standards for Drinking Water Quality. Conclusion Copper, steel, and plastic pipes can be used as drinking water pipes. 展开更多
关键词 COPPER Steel PLASTIC water pipes Health safety
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Thermal field in water pipe cooling concrete hydrostructures simulated with singular boundary method
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作者 Yong-xing Hong Wen Chen +2 位作者 Ji Lin Jian Gong Hong-da Cheng 《Water Science and Engineering》 EI CAS CSCD 2017年第2期107-114,共8页
The embedded water pipe system is often used as a standard cooling technique during the construction of large-scale mass concrete hydrostructures. The prediction of the temperature distribution considering the cooling... The embedded water pipe system is often used as a standard cooling technique during the construction of large-scale mass concrete hydrostructures. The prediction of the temperature distribution considering the cooling effects of embedded pipes plays an essential role in the design of the structure and its cooling system. In this study, the singular boundary method, a semi-analytical meshless technique, was employed to analyze the temperature distribution. A numerical algorithm solved the transient temperature field with consideration of the effects of cooling pipe specification, isolation of heat of hydration, and ambient temperature. Numerical results are verified through comparison with those of the finite element method, demonstrating that the proposed approach is accurate in the simulation of the thermal field in concrete structures with a water cooling pipe. 展开更多
关键词 Thermal field SINGULAR boundary METHOD SEMI-ANALYTICAL METHOD water COOLING pipe CONCRETE hydrostructure
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THEORETICAL ANALYSIS OF USING AIRFLOW TO PURGE RESIDUAL WATER IN AN INCLINED PIPE
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作者 沈芳 严宗毅 +1 位作者 赵耀华 Kiyoshi Horii 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第6期694-702,共9页
A refined theoretical analysis for using the spiral airflow and axial airflow to purge residual water in an inclined pipe was presented. The computations reveal that, in most cases, the spiral flow can purge the resid... A refined theoretical analysis for using the spiral airflow and axial airflow to purge residual water in an inclined pipe was presented. The computations reveal that, in most cases, the spiral flow can purge the residual water in the inclined pipe indeed while the axial flow may induce back flow of the water, just as predicted in the experiments presented by Horii and Zhao et al. In addition, the effects of various initial conditions on water purging were studied in detail for both the spiral and axial flow cases. 展开更多
关键词 spiral flow axial flow water purging two-phase flow pipe flow
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Evaluate the Possibility of Cracking Pipe on Water Supply Network under the Age of Pipe
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作者 Lanh Pham Thi Minh Hai Pham Ha +1 位作者 Truong Nguyen Quang Hong Le Dinh 《Journal of Environmental Science and Engineering(B)》 2016年第7期323-327,共5页
Minimizing water loss in water supply networks is one of the objectives for protecting water resources. Currently, the large amount of water loss is mainly due to leakage of the pipeline network. The leaking of pipe c... Minimizing water loss in water supply networks is one of the objectives for protecting water resources. Currently, the large amount of water loss is mainly due to leakage of the pipeline network. The leaking of pipe can be caused by incorrect construction, impacted by external forces, or corroded pipe material and aging. Therefore, to control and predict the cracking area on pipe, it is necessary to collect data about pipe conditions, approve the solution of technology improvement and define the ability of pipe capacity from setting up to the first preparing time. This paper will demonstrate how to evaluate corrosion pipe under the age of pipe and the impact level of internal pressure pipe at different times, and will put forward solution of effective leaking management on water supply network. 展开更多
关键词 The age of pipe material of water pipe water environment leaking cracking pipe.
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Analytic study on the optimal control of water hammer waves in pipes
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作者 曹慧哲 贺志宏 +1 位作者 何钟怡 谈和平 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第6期756-760,共5页
To realize the accurate control of water hammer in pipes by valve stroking, based on basic differential equations of water hammer subjected to initial and boundary conditions, the traveling solution of wave equations ... To realize the accurate control of water hammer in pipes by valve stroking, based on basic differential equations of water hammer subjected to initial and boundary conditions, the traveling solution of wave equations in finite region was applied to the linear water hammer problem. With the given velocity function at the valve and the introduction of curve integration independent of integral path, the exact analytic solution of dimensionless water hammer pressure was obtained in the course of valve closing. Based on the definition of eigen wave height, optimal eigen wave height and observation time, the control goal of water hammer pressure and the judgment rule of the optimal eigen wave height were determined, then the optimal velocity function in the calculated example was derived, which can reduce the water hammer pressure maximally. According to this function, a valve closing program was set, and the optimal control of water hammer could be realized. 展开更多
关键词 pipeS water hammer waves traveling solution optimal control extremum
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Computational Fluid Dynamics Study on Water Flow in a Hollow Helical Pipe
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作者 Ebrahim Ahmadloo Najmeh Sobhanifar Fatemeh Sadat Hosseini 《Open Journal of Fluid Dynamics》 2014年第2期133-139,共7页
Although curved pipes are used in a wide range of applications, flow in curved pipes is relatively less well known than that in straight ducts. This paper presents a computational fluid dynamics study of isothermal la... Although curved pipes are used in a wide range of applications, flow in curved pipes is relatively less well known than that in straight ducts. This paper presents a computational fluid dynamics study of isothermal laminar single-phase flow of water in a hollow helical pipe at various Reynolds numbers. The ranging of Reynolds numbers of fluid was from 703.2 to 1687.7. The three dimensional governing equations for mass and momentum have been solved. It was found that with increasing Reynolds number and creation of centrifugal forces, a high velocity and pressure region occurs between two tubes, at the outer side of the hollow helical pipe walls. Friction factor decreases as the tendency for turbulence increases. 展开更多
关键词 COMPUTATIONAL Fluid Dynamics water Flow HOLLOW HELICAL pipe Pressure GRADIENT VELOCITY
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