صفرزاده، اکبر.، و نوروزی، بهزاد. (1393). هیدرودینامیک سه بعدی سرریزهای کلید پیانویی انحنادار در پلان. نشریه هیدرولیک. (3)9، 79-61. https://doi.org/10.30482/JHYD.2014.10176
صفرزاده، اکبر. و خیاط رستمی، سیامک. (1394) ارزیابی آزمایشگاهی تأثیر ارتفاع بر هیدرولیک سرریزهای کلید پیانویی مستطیلی مستغرق. نشریه علمی پژوهشی سد و نیروگاه برق آبی، (7)2، 12-1. https://doi.org/
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صفرزاده، اکبر.، خیاط رستمی، سیامک.، و خیاط رستمی، بابک. (1398) بررسی تاثیر هد آب بر نحوه توزیع دبی بر روی تاج و رفتار خطوط جریان در سرریز کلیدپیانویی نامتقارن. نشریه هیدرولیک. (1)14، 17-1. https://doi.org/
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غریبوند، رامین.، حیدرنژاد، محمد.، کشکولی، حیدرعلی.، حسونی زاده، هوشنگ.، و کمان بدست، امیرعباس. (1399) بررسی عددی هیدرولیک جریان در سرریزهای کلیدپیانویی و زیگزاگی‌ذوزنقه‌ای. مجله علوم آب و خاک، (1)24، 56-45. https://doi.org/10.47176/jwss.24.1.38092
کریمی، محمد.، جلیلی قاضی زاده، محمد رضا.، صانعی، مجتبی.، و عطاری، جلال. (1399) بررسی آزمایشگاهی سرریز کلید پیانویی جانبی با کلیدهای مورب. نشریه مهندسی عمران امیرکبیر، (7)52، 1684-1671. https://doi.org/
10.22060/CEEJ.2019.15599.5970
Anderson, R. M. (2011). Piano key weir head discharge relationships. M.S. thesis, Utah State Univercity.
Anderson, R.M., & Tullis, B.P. (2012). Comparison of piano key and rectangular labyrinth weir. Journal of Hydraulic Engineering, 138, 358- 361. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000509
Bremer, F.L., & Oertel, M. (2017). Numerical investigation of wall thickness influence on Piano Key Weir discharge coefficients: A preliminary study. Labyrinth and Piano Key Weirs III, CRC Press, London. https://www.taylorfrancis.com/chapters/edit/10.1201/9781315169064-14
Chahartaghi, M.K., Nazari, S., & Mahmoodian Shooshtari, M. (2019). Experimental and numerical simulation of arced trapezoidal piano key weirs. Flow Measurement and Instrumentation, 68, 1-16. https://doi.org/10.1016/j.flowmeasinst.2019.101576
Crookston, B. M., Anderson, R. M., & Tullis, B. P. (2018). Free-flow discharge estimation method for Piano Key weir geometries. Journal of Hydroenvironment Research. 19, 160-167. https://doi.org/10.1016/j.jher.2017.10.003
Dabling, M. R., & Tullis, B. P. (2012). Piano key weir submergence in channel application. Journal of Hydraulic Engineering, 138(7), 661-666. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000563
Falvey, H. T. (2003). Hydraulic design of labyrinth weirs. ASCE Press, USA. http://ndl.ethernet.edu.et/bitstream/123456789/61317/1/1081.pdf
Flow Science, Inc. (2014). FLOW-3D user’s manual version 11.0. Santa Fe, Mexico. https://www.flow3d.com/wp-content/uploads/2020/10/FLOW-3D_HYDRO_installation_instructions.pdf
Gharibvand, R., Heidarnejad, M., Kashkouli, H.A., Hasoonizadeh, H., & Kamanbedast A. A. (2020). Numerical Analysis of Flow Hydraulic in Trapezoidal Labyrinths and Piano Key Weirs. Journal of Water and Soil Science, 24(1), 45-56. https://doi.org/10.47176/jwss.24.1.38092 [In Persian]
Heidarpoor, M., Mousavi, F., & Roshani-Zarmehri, R. (2006). Labyrinth weir with rectangular and U-shape plan-forms, Journal of Science and Technology of Agriculture and Natural Resources. 10(3), 1-11. https://www.sid.ir/paper/440089/fa#downloadbottom [In Persian]
Henderson, F. M. (1966). Open channel flow, Channel controls. MacMillan. United State of America. https://heidarpour.iut.ac.ir/sites/heidarpour.iut.ac.ir/files//u32/open-henderson.pdf
Karimi, M., Jalili-Ghazizadeh, M., saneie, M., & Attari, J. (2020). Experimental study of piano key side weir with oblique keys. Amirkabir Journal of Civil Engineering, 52(7), 1671-1684. https://doi.org/10.22060/CEEJ.2019.15599.5970 [In Persian]
Machiels, O., Pirotton, M., Pierre, A., Dewals, B., & Erpicum, S. (2014). Experimental parametric study and design of Piano Key Weirs. Journal of Hydraulic Research. 52(3), 326-335. https://doi.org/10.1080/00221686.2013.875070
Ouamane, A., & Lempérière, F. (2006). Design of a new economic shape of weir. Proc. Int. Symp. Dams in the Societies of the 21st Century, Barcelona, Spain. https://www.scirp.org/reference/referencespapers?referenceid=3431226
Riberio, M., Pfister, M., Schleiss, A. J., & Boillat, J. L. (2012). Hydraulic design of A-type Piano key weirs. Journal of Hydraulic Research, 50(4), 400-408. https://doi.org/10.1080/00221686.2012.695041
Safarzadeh, A & khayyatrostami, S. (2016) Laboratory evaluation of height effects on hydraulics of submerged piano key weirs. Journal of Iranian Dam and Hydroelectric Powerplant, 2(7), 1-12. https://doi.org/20.1001.1.23225882.1394.2.7.2.1 [In Persian]
Safarzadeh, A., & Noroozi, B. (2014) Three dimensional hydrodynamics of arced piano key spillways. Journal of Hydraulic, 9(3), 61-79. https://doi.org/10.30482/JHYD.2014.10176 [In Persian]
Safarzadeh, A., Khayat Rostami, S., & Khayat Rostami, B. (2019). Investigation on the effects of water head on discharge distribution and streamlines pattern over the Asymmetric Piano key weirs. Journal of Hydraulic, 14(1), 1-17. https://doi.org/10.30482/JHYD.2019.101685.1253 [In Persian]
Yousif, A.A. (2020) Experimental investigation on hydraulic performance of non-rectangular piano key weir (PKW). International Journal of Advanced Science and Technology, 29(8), 4467-4480. https://www.researchgate.net/publication/342550937
Anderson, R. M. (2011). Piano key weir head discharge relationships. M.S. thesis, Utah State Univercity.
Anderson, R.M., & Tullis, B.P. (2012). Comparison of piano key and rectangular labyrinth weir. Journal of Hydraulic Engineering, 138, 358- 361. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000509
Bremer, F.L., & Oertel, M. (2017). Numerical investigation of wall thickness influence on Piano Key Weir discharge coefficients: A preliminary study. Labyrinth and Piano Key Weirs III, CRC Press, London. https://www.taylorfrancis.com/chapters/edit/10.1201/9781315169064-14
Chahartaghi, M.K., Nazari, S., & Mahmoodian Shooshtari, M. (2019). Experimental and numerical simulation of arced trapezoidal piano key weirs. Flow Measurement and Instrumentation, 68, 1-16. https://doi.org/10.1016/j.flowmeasinst.2019.101576
Crookston, B. M., Anderson, R. M., & Tullis, B. P. (2018). Free-flow discharge estimation method for Piano Key weir geometries. Journal of Hydroenvironment Research. 19, 160-167. https://doi.org/10.1016/j.jher.2017.10.003
Dabling, M. R., & Tullis, B. P. (2012). Piano key weir submergence in channel application. Journal of Hydraulic Engineering, 138(7), 661-666. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000563
Falvey, H. T. (2003). Hydraulic design of labyrinth weirs. ASCE Press, USA. http://ndl.ethernet.edu.et/bitstream/123456789/61317/1/1081.pdf
Flow Science, Inc. (2014). FLOW-3D user’s manual version 11.0. Santa Fe, Mexico. https://www.flow3d.com/wp-content/uploads/2020/10/FLOW-3D_HYDRO_installation_instructions.pdf
Gharibvand, R., Heidarnejad, M., Kashkouli, H.A., Hasoonizadeh, H., & Kamanbedast A. A. (2020). Numerical Analysis of Flow Hydraulic in Trapezoidal Labyrinths and Piano Key Weirs. Journal of Water and Soil Science, 24(1), 45-56. https://doi.org/10.47176/jwss.24.1.38092 [In Persian]
Heidarpoor, M., Mousavi, F., & Roshani-Zarmehri, R. (2006). Labyrinth weir with rectangular and U-shape plan-forms, Journal of Science and Technology of Agriculture and Natural Resources. 10(3), 1-11. https://www.sid.ir/paper/440089/fa#downloadbottom [In Persian]
Henderson, F. M. (1966). Open channel flow, Channel controls. MacMillan. United State of America. https://heidarpour.iut.ac.ir/sites/heidarpour.iut.ac.ir/files//u32/open-henderson.pdf
Karimi, M., Jalili-Ghazizadeh, M., saneie, M., & Attari, J. (2020). Experimental study of piano key side weir with oblique keys. Amirkabir Journal of Civil Engineering, 52(7), 1671-1684. https://doi.org/10.22060/CEEJ.2019.15599.5970 [In Persian]
Machiels, O., Pirotton, M., Pierre, A., Dewals, B., & Erpicum, S. (2014). Experimental parametric study and design of Piano Key Weirs. Journal of Hydraulic Research. 52(3), 326-335. https://doi.org/10.1080/00221686.2013.875070
Ouamane, A., & Lempérière, F. (2006). Design of a new economic shape of weir. Proc. Int. Symp. Dams in the Societies of the 21st Century, Barcelona, Spain. https://www.scirp.org/reference/referencespapers?referenceid=3431226
Riberio, M., Pfister, M., Schleiss, A. J., & Boillat, J. L. (2012). Hydraulic design of A-type Piano key weirs. Journal of Hydraulic Research, 50(4), 400-408. https://doi.org/10.1080/00221686.2012.695041
Safarzadeh, A & khayyatrostami, S. (2016) Laboratory evaluation of height effects on hydraulics of submerged piano key weirs. Journal of Iranian Dam and Hydroelectric Powerplant, 2(7), 1-12. https://doi.org/20.1001.1.23225882.1394.2.7.2.1 [In Persian]
Safarzadeh, A., & Noroozi, B. (2014) Three dimensional hydrodynamics of arced piano key spillways. Journal of Hydraulic, 9(3), 61-79. https://doi.org/10.30482/JHYD.2014.10176 [In Persian]
Safarzadeh, A., Khayat Rostami, S., & Khayat Rostami, B. (2019). Investigation on the effects of water head on discharge distribution and streamlines pattern over the Asymmetric Piano key weirs. Journal of Hydraulic, 14(1), 1-17. https://doi.org/10.30482/JHYD.2019.101685.1253 [In Persian]
Yousif, A.A. (2020) Experimental investigation on hydraulic performance of non-rectangular piano key weir (PKW). International Journal of Advanced Science and Technology, 29(8), 4467-4480. https://www.researchgate.net/publication/342550937
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