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RISS 인기검색어
- 검색키워드
- 저자 : Medhat M. H. El-Zahar (검색결과 2 건)
- 무료
- 기관 내 무료
- 유료
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Optimization of Water Pipe Network and Formulation of Pumping Rate
Medhat M. H. El-Zahar,Mohamed M. M. Amin 대한토목학회 2023 KSCE Journal of Civil Engineering Vol.27 No.7
Minimizing water delivery costs and increasing water supply dependability are the two keyobjectives in designing and operating of water distribution systems. An analytical solution forthe best pipe diameters of a water distribution pipe network was created in this study. The rawwater was collected from a water canal and transported to a treatment plant (WTP). Thecleansed water was pushed into the water distribution network via the pumping station. Thederivative approach was used in the optimization process, and the cost functions incorporating thevarious capital and operating expenses were used. The initial diameters were adjusted toreach the least-cost diameters. The study shows that the optimum design of a pipe network(PNW) achieves saving a total cost of about 12.3% after utilizing our unique method. Theoptimal pumping rate in the PNW can also be determined using an analytical approach thatconsiders the optimum value that occurs when the minor and friction losses in the entirenetwork are at their lowest. The analytical solution for the optimum pumping rate shows arigid value of optimum pumping rate (Qopt) which is 5296.32 m3/day. On comparativeestimates, this figure is very close to that of 5,300 m3/day interpreted from the graphicalsolution, with negligible deviation. The total cost and optimum pumping rate results for theanalyzed PNW example demonstrate the correctness of the analytical solutions, reliability, anddependability of the assumptions.
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Optimizing Pumping Rate in Pipe Networks Supplied by Groundwater Sources
Mohamed M. Somaida,Medhat M. H. El-Zahar,Yasser A. Hamed,Mahmoud S. Sharaan 대한토목학회 2013 KSCE JOURNAL OF CIVIL ENGINEERING Vol.17 No.5
In the present paper, an analytical solution has been reached for determining the optimum pumping rate in a pipe network supplied from a ground water source by means of water wells. The solution depends on the use of the gradient technique which requires the derivatives of the studied cost functions and is based on the maximum economic benefit from the produced water. The solution is examined on a predetermined optimal water distribution system, and gives values for optimum pumping rates which are in good agreement with those obtained using the graphical solutions, indicating the reliability of the analytical solution. The effect of the initial cost on the optimum pumping rate and its bearing on the unit price of water has been also studied. This reflects the importance of choosing the proper unit water price that makes the water return covers the global cost and satisfies the maximum economic benefit from the produced water. Studying the effect of unit price of water on the water return or different pumping rates shows that,whether ignoring or including the initial cost, the water return increases with increase of pumping rate till reaching a turning point,often which the water return begin to drop slightly. Hence, this point determines the optimum pumping rate in the pipe network as well as the maximum economic benefit satisfied. Finally within the scope of the present study, it is concluded that, the identity or good agreement found in the results of optimum pumping rates, indicates the validity of the developed analytical solution and the employed graphical solutions.
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