• Journal of Korean Society of Water and Wastewater
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• v.21 no.4
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• pp.421-428
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• 2007

Many engineering problems on the pipeline flow use continuity, energy, friction loss head equation. To calculate friction loss head in a pipeline, Darcy-Weisbach and many average velocity equations can be used and Hazen-Williams equation is used frequently in the pipe network for the water supply systems. Darcy-Weisbach equation is a general one acquired from applying Bernoulli's equation in the pipeline flow and Hazen-Williams equation is a experimental one in case that pipe velocity is below 3m/sec and pipe diameter is over 50mm. In this study, comparing Darcy-Weisbach with Hazen-Williams equation, relation f and C that are expressed as roughness coefficients of those equations is explained. Next, head losses calculated from using those equations are compared and those are applied in realistic pipelines. Comparing f with C, the f is decreasing linearly according to increase of the Reynolds number Re and increasing in case the C is decreasing. additionally, the C is increasing up to a point and then is decreasing according to increase of the Re. Next, the C is increasing and Re's range for increase of the C lengthens in case of decreasing of the relative roughness ${\varepsilon}/d$. Comparing head losses acquired from the two equations, head loss appears large in case that the C is decreasing and the ${\varepsilon}/d$ is increasing. additionally, Head loss calculated by the Darcy-Weisbach equation varies larger than one by Hazen-Williams equation in regard of the Re. Next, change aspect of head loss acquired by the C is distinguished more clearly than the one by the ${\varepsilon}/d$.

• Proceedings of the Korea Water Resources Association Conference
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• 2004.05b
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• pp.1464-1468
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• 2004

누후된 상수도 관망의 최적개량 계획수립을 위하여 많은 모형들이 개발되었으며, 이러한 모형들은 수리학적 타당성을 비롯한 다양한 인자들을 복합적으로 고려한다. 관망의 수리학적 타당성을 검토하기 위해서는 관망해석을 통해 절점 압력변화 등이 계획기간동안 만족되어야 하며, 이를 위해서는 관거의 노후정도에 따라 변하는 Hazen-Williams C상수의 변화를 고려하여야 한다. 그러나 Hazen-Williams C상수의 변화는 관거의 매설지역, 통수년수, 수질 등과 같은 여러 가지 복합적인 인자에 의해 차이가 있으며 실제 유량 및 압력자료 등에 대한 조사에 의해 매설된 관거의 C상수를 추정하여야 한다. 그러나, 내상 지역의 모든 관거에 대하여 유량과 압력을 조사하는 것은 경제적인 문제를 비롯한 여러 가지 이유로 불가능하므로 본 연구에서는 실측된 몇몇 지점의 유량 및 압력 변화에 따라 대상지역에 매설된 관거의 C상수 변화를 추정하는 알고리즘을 제시하였다.

• Journal of Korean Society of Water and Wastewater
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• v.29 no.6
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• pp.659-666
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• 2015

In this study, Hazen-Williams C value of pipes in wide waterworks system was estimated and statistically analyzed. Hazen-Williams C value of water pipe was predicted after 20 years of service period. From the results, it was found that C value of water pipe for treated water maintained higher value of 110 after 20 years of installation. Furthermore, it was found that velocity coefficients of steel pipe for less than and more than 20 years of installation were 117.7 and 109.3, respectively. C value of ductile iron pipe for less than and more than 20 years of installation were 118.1 and 114.2, respectively. In this study, it was also found that small value of C is used in the design of water pipe system. Therefore, excessively bigger size of pipe can be determined in the design of water pipe system. From the results of present study, optimum value of C can be used to avoid the oversized design of water pipe system.

• Water for future
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• v.29 no.4
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• pp.223-231
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• 1996

For the most efficient operation of water mains, 124 head losses in domestic water supply steel mains were measured to provide the values of friction coefficient and the variable affecting the deterioration rate of Hazen Williams' and Darcy-Weisbach's friction coefficient. The experimental results show that pipe age is governing the friction coefficient of large mains (Diameter > 1100 mm). On the other hands, pipe age and pipe diameter are affecting the variation of carrying capacity for small mains (Diameter < 1100 mm). The friction coefficient of water mains in foreign countries is higher than that in Korea by about 5 to 10 in Hazen Williams' C value. The growing rate of roughness height of domestic water main is about 0.41 mm/year which is higher than the average of United States of America. So further study is required to find out what causes the serious deterioration rate.

• Journal of Korean Society of Water and Wastewater
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• v.30 no.2
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• pp.197-206
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• 2016

Although the Hazen-Williams C factors are very important in the design, operation, and maintenance of water supply pipes, sufficient studies for them have been not reported in korea, which are based on experiments or measured data. Because of this, we have estimated C factors by measurement considering constraints in time precise safety diagnosis for multi-regional water supply system were performed. In this study, we confirmed constraints and variables characteristics of Hazen-Williams equation, and collected reliable C factors data of 174 by measurement, and analyzed their characteristics. According to collected data, the average value is 115.35, which is almost equal to the value of design standard or a little higher than it in korea. Also, among the equations suggested to determine C factor in the past, the C factors calculated by Sharp and Walski equation was closest to them in this study. In addition, to analyze collected C factors, use year and pipe diameter having high correlation with them were respectively divided into there categories. Analysis results showed that C factors evidently decreases depending on increases in use year, on the other hand, size of pipe diameter is proportional to value of them. In conclusion, this research showing evaluation and characteristics for C factors based on measured data will be used as practical reference in determining C factor in multi-regional water supply systems at a later date.

• Proceedings of the Korea Water Resources Association Conference
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• 2019.05a
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• pp.239-239
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• 2019

상수도시설 중 배수관망시설은 해당 지역의 영향을 민감하게 받는 시설이므로 설계시 해당시설의 특성을 충분히 고려해야 한다. 배수시설은 설치된 해당지역에 따라 그 특성이 매우 다르기 때문에, 설계지표 또한 해당 도시마다 다르게 설정될 수 있다. 도시의 규모가 크거나, 그 특성이 해당 구역에 따라 다른 경우에는 같은 도시의 경우라도 대상구역에 따라 다른 지표를 사용하는 경우도 있다. 따라서 이런 상수도관망의 설계 및 관리를 위해서는 장기간 현장여건에 맞는 관측자료를 통한 정밀한 수리분석이 요구되며 국내의 경우 일반적으로 Hazen-Williams 공식을 사용하고, 이때 관내면의 마찰손실계수 C는 유속계수라 한다. 이러한 유속계수는 상수관로의 물리적 특성을 나타내며 관로 내의 흐름해석, 펌프 및 관로의 설계, 최적 운영 방안, 통수능력 및 관 노후도 평가 등에 사용되거나 영향을 미치는 중요한 요소라 평가되고 있다. 또한 다수의 현장 관측 자료를 확보하여도 분기 구간과 펌프 및 밸브 등으로 인한 손실 등의 오차가 발생하므로 유속계수 산정 시 발생되는 많은 오차들을 줄여 보다 신뢰성 있는 유속계수를 산정해야 하고, 현장 관측 자료를 이용하여 유속계수를 산정하기 어려운 구간에 대해서는 관망해석 모델링을 통하여 결정하고 있다. 본 연구에서는 전주권 광역상수도의 계통 특성에 맞는 관로의 유속계수를 결정하기 위해 관리주체에서 기존에 설치한 수압계와 유량계 및 관망도를 이용하여 기초자료를 수집하고 Hazen-Williams 공식을 이용하여 유속계수를 산정하였다. 계산된 상수관로 유속계수는 전주시의 10개 계통에서 최소 107.06, 최대 145.02, 평균 127로 계산되었으며, 유속계수에 영향을 미치는 물리적 요소들의 관계를 파악하고자 상관성 분석 실행하였다. 그 결과 관경과 경과년수의 상관계수 R은 0.011 관경과 유속계수의 상관계수는 -0.009로 두변수간의 상관성이 거의 없고, 경과년수와 유속계수의 상관계수는 -0.776로 음의 상관성을 갖는 것으로 분석되었다. 이와 같이 제시한 유속계수는 해당 지역의 참고자료나 기준으로서 활용할 수 있을 것으로 판단되며 비 대상 지역에서도 현장자료가 부족한 곳의 유속계수를 산정할 경우 보다 신뢰성 있게 유속계수를 산정할 수 있는 방법을 제시하고자 한다.

• Journal of Korea Water Resources Association
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• v.49 no.5
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• pp.399-410
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• 2016

In case of the application of Hazen-Williams C for design, operation or maintenance of water supply system, field situations always should be reflected on the factors. In this study, the relationships between C factors and influencing factors are analyzed using statistical techniques with 174 measured C factor data collected in periodic inspection for safety diagnosis in multi-regional water supply systems. To analyze their relationships, cross analysis, one-way ANOVA, correlation analysis were conducted. Analysis results showed that C factors had high correlations with both of elapsed year and pipe diameter and were relatively highly affected by coating material among influencing factors with the categorical type. On the other hand, elapsed year, pipe diameter and water type were meaningful influencing factors according to the results of multiple regression analysis. The Cluster analysis revealed that C factors had a tendency of being fundamentally classified on the basis of the elapsed year of about 20 years and the pipe diameter of 1500mm. Although C factors were generally greatly affected by elapsed year, size of pipe diameter relatively had an large influence on values of them in case of large diameter pipes. Lastly, It can be suggested that C factor estimation formulas using multiple regression analysis and clustering analysis in this study, can be applied as decision standards of C factor in multi-regional water supply systems.

• Journal of Korean Society of Water and Wastewater
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• v.30 no.6
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• pp.725-736
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• 2016

There is a growing concern on the improvement of water distribution pipeline for multi-regional water supply system in Korea along with its aging infrastructure. Rehabilitation of large diameter pipeline is more efficient in cost and time compared to replacement with trenching. The procedure for rehabilitation are diagnosis, cleaning, spraying coating material, and final inspection. The internal state of pipeline was carefully diagnosed and got C grade, which required rehabilitation. We found that 17,274,787,000 Korean won could be saved after pipe surface coating because of increased C coefficient of Hazen-Williams equation. Optimal coating material was D polyurea. We also found optimal distance between spraying nozzle and pipe wall to be 70 - 80 cm, which were critical factors for coating quality. This study also illustrated the time for spray drying to be more than 30 min. These results could be used in the quality control process during rehabilitation of aged pipelines.

• Journal of Biosystems Engineering
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• v.4 no.2
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• pp.46-52
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• 1979

The water delivery hose for agricultural pump is getting popular in rural areas in korea. Friction head loss, discharge, and power requirements were measured in various discharge for different material and diameter of hose to get basic data for economical use in agricultural pump. The results attained in this study were as follows ; 1. Friction head loss increased significantly as the velocity increased, and the difference of velocity between the different diameter of hose was bigger than that between materials, which was resulted in the increase of the friction head loss. 2. Friction head loss in the case of that the velocity with 2m/sec was constant was about 3.53 to 4.01 m/100m in the diameter 3" and about 2.30 to 3.10 m/100m in the diameter 4". Material A of diameter 3" showed the maximum value 8.4m/100m in Reynolds number $2.0\times10^5$, 4" got the minimum value 2.24m/100m, the difference between these values was bigger than 6m per 100 meters in the friction head loss. 3. Darcy-Weisbach formular with friction coefficient [f] calculated by Nikurades formular in the smooth pipe or with friction coefficient [f] calculated on the base of C value 125 in Hazen-Williams formular was available in friction head loss of the water discharger hose in rural areas. 4. Total head increased as friction head loss increased , meanwhile total discharge decreased, and 20 percents of energy was more saved in Material C 4″pipe than Material A 3″pipe in the view point from the discharge per unit power requirement, this phenomenon suggested that long distance pipe would be advantage in larger diameter pipe for save of energy. for save of energy.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.17 no.11
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• pp.355-362
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• 2016

The pipe material is selected according to the physical and chemical properties of the fluid flowing within it. Because the fluid used in fire extinguish systems is water, the various foreign substances dissolved in it cause scale to form on the pipe wall and accelerate the corrosion and aging of the pipe itself. This results in an increase in the friction loss and eventually degrades the efficiency of the pump. The use of CPVC (Chlorinated Poly-Vinyl Chloride) pipes was confirmed to reduce the friction loss compared to conventional steel pipes in the design and construction stages. The friction loss was found to be 76.64MPa with a C-value of 120 for the steel pipe and 50.72 MPa with a C-value of 150 for the CPVC pipe in an actual apartment construction environment. It was confirmed that the friction loss was improved by about 34% when using the CPVC pipe. When the steel and CPVC pipes were employed in the construction, the construction costs were 1,585,158 and 931,842 won, respectively. Therefore, it was shown that the construction cost was reduced by about 41%. We investigated the safety of the fire extinguishing system and the improvement in the economic performance due to the reduction in the total installed capacity by studying practical applications in the field.