بررسی آزمایشگاهی اتلاف انرژی جریان در سرریز کلیدپیانویی پله‌ای ذوزنقه‌ای

نوع مقاله : پژوهشی اصیل (کامل)

نویسندگان
1 دانشجوی کارشناسی ارشد مهندسی عمران آب و سازه‌های هیدرولیکی، دانشکده مهندسی عمران و محیط زیست، دانشگاه تربیت مدرس، تهران، ایران.
2 دانشجوی دکتری مهندسی عمران آب و سازه‌های هیدرولیکی، دانشکده مهندسی عمران و محیط زیست، دانشگاه تربیت مدرس، تهران، ایران.
3 استاد هیدرولیک، دانشکده مهندسی عمران و محیط زیست، دانشگاه تربیت مدرس، تهران، ایران.
چکیده
سرریز‌های کلیدپیانویی، تکامل یافته‌ی سرریز‌های کنگره‌ای هستند که در سال‌های اخیر مورد توجه بسیاری قرار گرفته‌اند. با توجه به اینکه اطلاعات کمی در خصوص اتلاف انرژی در سرریزهای کلیدپیانویی وجود دارد؛ لذا این مقاله به مطالعه‌ی آزمایشگاهی اتلاف انرژی در سرریز کلیدپیانویی ذوزنقه‌ای نوع A می‌پردازد. آزمایش‌ها با سرریز بدون پله و با پله در کلید‌های خروجی سرریز و برای دبی‌های مختلف انجام شد. سه مدل سرریز با ابعاد و تعداد متفاوت پله‌ها در کلیدهای خروجی سرریز استفاده شد. سرریز اول با تعداد 5 پله، سرریز دوم با تعداد 10 پله و سرریز سوم با تعداد 15 پله مورد بررسی قرار گرفتند. نتایج نشان داد که در دبی‌های پایین نسبت به دبی‌های بیشتر، اتلاف انرژی بیشتر است. میانگین اتلاف انرژی نسبت به سرریز بدون پله، در سرریز 5 پله‌ای 73/15 درصد، در سرریز 10 پله‌ای 93/24 درصد و در سرریز 15 پله‌ای 52/18 درصد است. ضریب آبگذری با دو روش محاسبه و مقایسه شدند. ضریب آبگذری محاسبه شده با رابطه‌ی انتگرالی 64/2 درصد بیشتر از ضریب آبگذری محاسبه شده با رابطه‌ی عمومی سرریزها است. افزون بر این، ضریب آبگذری با افزایش نسبت طول تاج سرریز به عرض سرریز افزایش می‌یابد.

کلیدواژه‌ها

موضوعات


عنوان مقاله English

An Experimental Study of Flow Energy Loss in Trapezoidal Stepped Piano Key Weirs (PKWs)

نویسندگان English

A. Fathi 1
CH. Abdi Chooplou 2
M. Ghodsian 3
1 M.Sc. Student, Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran
2 PhD Student, Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran
3 Prof., Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran,
چکیده English

Weir is a structure that is made in the body or in supports of a dam to safely discharge the excess volume of water from a reservoir. It is the main factor of safety for dams during floods. A Piano Key Weir (PKWs) is a modified type of labyrinth weir that is designed and built for increasing weir capacity at a specified water head on the weir crest compared to linear weirs. It can provide a specified discharge with a significantly lower upstream water depth. Considering that there is little information about energy loss in PKWs, this article dealt with the experimental study of energy loss in a type-A trapezoidal PKW. The experiments were conducted in a flume made from metal with a length, width, and height of respectively 10, 0.75, and 0.80 m in the hydraulic laboratory of the department of Water and Hydraulic Structures in the Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran. They were performed with weirs with and without steps in their outlet keys at the different flow rates of 30, 40, 50, and 60 L/s. The flow from the upstream tank of 2.05 m length was conducted by a guiding wall to enter the weirs after passing a distance of 1 m. A type-A trapezoidal PKW with 3 keys was utilized. The examined weir had an inlet key width of 0.175 m, outlet key width of 0.051 m, upstream and downstream overhang length of 0.125 m, lateral wall length of 0.5 m, weir height of 0.2 m, weir wall thickness of 0.012 m, and inlet and outlet key slope of 0.53. 3 weir models with different dimensions and number of steps were employed at the outlet keys. The first, second, and third weirs were investigated with 5, 10, and 15 steps, respectively. The PK weir geometry creates a 3D flow field that can be characterized by inclined jet and free fall jet exiting the inlet and outlet keys, respectively. to the downstream and into the outlet keys. The results showed that the energy loss was higher at lower flow rates. The average energy losses were 15.73, 24.93, and 18.52% in the 5-, 10-, and 15-step weirs compared to those without steps, respectively. The discharge coefficients were calculated and compared via two methods. The discharge coefficient calculated with an integral relation was 2.64% higher than that calculated with the general relation for weirs. In addition, this coefficient increased with an increase in the ratio of the weir crest length to its total width. The difference in energy loss measured before the hydraulic jump at a distance of 10 times the weir height was about 3%. The energy loss decreased with an increase in the flow rate and depth of the flow upstream of the weir. The presence of steps at the weir outlet keys had an increasing effect on the energy loss. The highest energy loss (24.93%) was observed in the 10-step weir. Some relations were presented for calculating the amount of energy loss in the type-A trapezoidal stepped PKW, as well as its amount on each step.

کلیدواژه‌ها English

Energy Loss
Piano Key Weir (PKW)
step
outlet key
Discharge coefficient
1- Chanson, H., 1994. Hydraulics of nappe flow regime above stepped chutes and spillways. TRANSACTIONS-INSTITUTION OF ENGINEERS AUSTRALIA CIVIL ENGINEERING CE, 36, pp.69-69.
2- Pinto, M.M.M., Matos, J.D.S.G. and dos Santos Viseu, M.T.F., 2017. Energy dissipation on stepped spillways with a piano key weir: experimental study.
3- Anderson, R.M. and Tullis, B.P., 2012. Piano key weir: Reservoir versus channel application. Journal of irrigation and drainage engineering, 138(8), pp.773-776.
4- Lempérière, F. and Ouamane, A., 2003. The Piano Keys weir: a new cost-effective solution for spillways. International Journal on Hydropower & Dams, 10(5), pp.144-149.
5- Crookston, B.M., Erpicum, S., Tullis, B.P. and Laugier, F., 2019. Hydraulics of labyrinth and piano key weirs: 100 years of prototype structures, advancements, and future research needs. Journal of Hydraulic Engineering, 145(12), p.02519004.
6- Bieri, M., Federspiel, M., Boillat, J.L., Houdant, B., Faramond, L. and Delorme, F., 2011. Energy dissipation downstream of piano key weirs–case study of Gloriettes dam (France). Labyrinth and piano key weirs–PKW 2011, pp.123-130.
7- Erpicum, S., Laugier, F., Pfister, M., Pirotton, M., Cicero, G.M. and Schleiss, A.J. eds., 2013. Labyrinth and piano key weirs II. CRC Press.
8- Khanh, M.H.T., Hien, T.C. and Quat, D.S., Study and construction of PK Weirs in Vietnam (2004 to 2011).
9- Leite Ribeiro, M., Boillat, J.L., Schleiss, A., Laugier, F. and Albalat, C., 2007. Rehabilitation of St-Marc dam experimental optimization of a piano key weir. In Proceedings of the 32nd Congress of IAHR (No. CONF).
10- Al-Shukur, A.H.K. and Al-Khafaji, G.H., 2018. Experimental study of the hydraulic performance of piano key weir. International Journal of Energy and Environment, 9(1), pp.63-70.
11- R. Eslinger, K. and Crookston, B.M., 2020. Energy dissipation of type a piano key weirs. Water, 12(5), p.1253.
12- Singh, D. and Kumar, M., 2022. Gene expression programming for computing energy dissipation over type-B piano key weir. Renewable Energy Focus, 41, pp.230-235.
13- Abdi Chooplou, Ch., Ghodsian, M., Abediakbar, D. and Ghafouri, A., 2023. An experimental and numerical study on the flow field and scour downstream of rectangular piano key weirs with crest indentations. Innovative Infrastructure Solutions, 8(5), p.140.
14- Sumer, B.M. and Fredsoe, J., 1991, August. Onset of scour below a pipeline exposed to waves. In The First International Offshore and Polar Engineering Conference. OnePetro.
15- Novák, P. and Čabelka, J., 1981. Models in hydraulic engineering: Physical principles and design applications. Monographs & surveys in water resources engineering.
16- Kabiri-Samani, A. and Javaheri, A., 2012. Discharge coefficients for free and submerged flow over Piano Key weirs. Journal of Hydraulic Research, 50(1), pp.114-120.
17- Ghafouri, A., Ghodsian, M. and Abdi Chooplou, Ch., 2020. Experimental study on the effect of discharge and tailwater depth on bed topography downstream of a piano key weir. Journal of Hydraulics, 15(3), pp.107-122.
18- Abdi Chooplou, Ch., Bodaghi, E., Ghodsian, M. and Vaghefi, M., 2022. Temporal evolution of scouring downstream of a trapezoidal piano key weir. International Journal of River Basin Management, pp.1-14.
19- Merkel, J., Belzner, F., Gebhardt, M. and Thorenz, C., 2018. Energy dissipation downstream of labyrinth weirs.