References
- Abd El-Hady Rady, R.M., 2011. 2D-3D Modeling of flow over sharp-crested weirs. Journal of Applied Sciences Research, 7, 12, 2495-2505.
- Al-Dabbagh, M.A., Al-Zubaidy, S.D., 2018. Evaluation of flow behavior over broad-crested weirs of a triangular cross-section using CFD techniques. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 2, 361-367.
- Allerton, R.W., 1932. Flow of water over triangular weirs. Thesis. Princeton University, Princeton.
- ANSYS, 2024a. Ansys CFX [software]. https://www.ansys.com/products/fluids/ansys-cfx
- ANSYS, 2024b. Ansys Fluent [software]. https://www.ansys.com/products/fluids/ansys-fluent
- Barr, J., 1910. Experiments upon the flow of water over triangular notches. Engineering, 89, 435–437, 470–473.
- Barrett, F.B., 1931. The flow of water over triangular weirs. Thesis. Princeton University, Princeton.
- Bos, M.G., 1989. Discharge measurement structures. 3. ILRI, Deltares. https://repository.tudelft.nl/islandora/object/uuid:bed11d85-f4af-46d1-ba58-7d71f8c8f9c2?collection=research
- Brackbill, J.U., Kothe, D.B., Zemach, C., 1992. A continuum method for modeling surface tension, Journal of Computational Physics, 100, 2, 335-354. https://doi.org/10.1016/0021-9991(92)90240-Y
- Clemmens, A.J., Wahl, T.L., Bos, M.G., Replogle, J.A., 2001. Water measurement with flumes and weirs. ILRI.
- Cone, V.M., 1916. Flow through weir notches with thin edges and full contractions. J. Agric. Res., 5, 23, 1051–1113.
- Flow Science, 2024. FLOW-3D [software]. https://www.flow3d.com/
- Gabriel, P., 2023. Influence of approach channel width on flow over thin-plate weir with triangular notch. Batchelor Thesis. Brno University of Technology, Brno. (In Czech.)
- Greve, F.W., 1930. Calibration of 16 triangular weirs at Prude. Eng. News-Rec., 105, 5, 166–167.
- Greve, F.W., 1932. Flow of water through circular, parabolic, and triangular vertical notch-weirs. Eng. Bulletin Purdue University, 40, 2–84.
- Greve, F.W., 1945. Flow of liquids through vertical circular orifices and triangular weirs. Eng. Bull. Purdue University, 29, 3, 1–68.
- Hager, W.H., 2010. Wastewater Hydraulics. 2. Springer, Heidelberg.
- Hanjalić, K., Launder, B.E., 1976. Contribution towards a Reynolds-stress closure for low-Reynolds-number turbulence. J. Fluid Mech. 74, 4, 593–610. https://doi.org/10.1017/S0022112076001961
- Hattab, M.H., Mijic, A.M., Vernon, D., 2019. Optimised triangular weir design for assessing the full-scale performance of green infrastructure. Water, 4, 11, 773–790. https://doi.org/10.3390/w11040773
- Hirt, C.W., Nichols, B.D., 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of computational physics, 39, 201–225. https://doi.org/10.1016/0021-9991(81)90145-5
- Horton, R.E., 1907. Weir Experiments, Coefficients, and Formulas. USGS, Washington.
- ISO, 2017. ISO 1438:2017. Hydrometry – Open channel flow measurement using thin-plate weirs. 3. ISO, Geneva. https://www.iso.org/standard/66463.html
- King, H.W., 1916. Flow of water over right-angled V-notch weir. The Michigan Technic, 29, 3, 189–195.
- Kulin, G., Compton, P.R., 1975. A guide to methods and standards for the measurement of water flow., National Bureau of Standards, Washington.
- Lenz, A.T., 1942. Viscosity and surface tension effects on V-notch weir coefficients. Trans. Am. Soc. Civ. Eng., 351–374.
- Mampaey, F., Xu, Z.-A., 1995. Simulation and experimental validation of mould filling. Proc. Modeling of Casting, Welding and Advanced Solidification Processes VII, London, September 10-12. https://www.osti.gov/biblio/227725
- Met-Flow SA, 2020. Met-Flow UVP-DUO Profiler, Met-Flow SA, Ch. Auguste-Pidou 8, 1007 Lausanne, Switzerland, 7.
- Menter, F.R., 1993. Zonal two-equation k-ω turbulence models for aerodynamic flows. AIAA Paper 93-2906. https://doi.org/10.2514/6.1993-2906
- Menter, F.R., 1994. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, 32, 8, 1598-1605. https://doi.org/10.2514/3.12149
- Menter, F.R., Lechner, R., Matyushenko, A., 2021. Best Practice: RANS Turbulence Modeling in Ansys CFD. ANSYS.
- Milburn, P., Burney, J., 1988. V-notch weir boxes for measurement of subsurface drainage system discharges. Can. Agr. Eng., 30, 2, 209–212.
- Numachi, F., Hutizawa, S., 1941a. On the overflow coefficient of a right-angled triangular weir (2. Notice). J. Soc. Mech. Eng., 44, 286, 286. (In Japanese.) https://doi.org/10.1299/jsmemag.44.286_5_1
- Numachi, F., Hutizawa, S., 1941b. On the overflow coefficient of a right-angled triangular weir (2. Notice). Trans. Jpn. Soc. Mech. Eng., 7, 27–3, 5–9. (In Japanese.) https://doi.org/10.1299/kikai1938.7.27-3_5
- Numachi, F., Hutizawa, S., 1942a. On the overflow coefficient of a right-angled triangular weir (3. Notice). J. Soc. Mech. Eng., 45, 308, 725. (In Japanese.) https://doi.org/10.1299/jsmemag.45.308_725_2
- Numachi, F., Hutizawa, S., 1942b. On the overflow coefficient of a right-angled triangular weir (3. Notice). Trans. Jpn. Soc. Mech. Eng., 8, 33–3, 37–40. (In Japanese.) https://doi.org/10.1299/kikai1938.8.33-3_37
- Numachi, F., Kurokawa, T., Hutizawa, S., 1940a. On the overflow coefficient of a right-angled triangular weir. J. Soc. Mech. Eng., 43, 275, 45. (In Japanese.) https://doi.org/10.1299/jsmemag.43.275_45_2
- Numachi, F., Kurokawa, T., Hutizawa, S., 1940b. On the overflow coefficient of a right-angled triangular weir). Trans. Jpn. Soc. Mech. Eng., 6, 22–3, 10–14. (In Japanese.) https://doi.org/10.1299/kikai1938.6.22-3_10
- Numachi, F., Saito, I., 1948. On allowable shortest length of channel for triangular notch. J. Soc. Mech. Eng., 51, 357, 229–230. (In Japanese.) https://doi.org/10.1299/jsmemag.51.357_229_2
- Numachi, F., Saito, I., 1951. On allowable shortest length of channel for triangular notch. Trans. Jpn. Soc. Mech. Eng., 17, 56, 1–3. (In Japanese.) https://doi.org/10.1299/kikai1938.17.1
- OpenCFD, 2024. OpenFOAM [software]. https://www.openfoam.com/
- Pospíšilík, Š., 2023. Determination of small discharges of water by triangular notch thin-plate weirs. Doctoral Thesis. Brno University of Technology, Brno. (In Czech)
- Pospíšilík, Š., Zachoval, Z., 2023. Discharge coefficient, effective head and limit head in the Kindsvater-Shen formula for small discharges measured by thin-plate weirs with a triangular notch. J. Hydrol. Hydromech., 71, 1, 35–48. https://doi.org/10.2478/johh-2022-0040
- Pospíšilík, Š., Zachoval, Z., Gabriel, P., 2024. Flow over thin-plate weirs with a triangular notch – influence of the relative width of approach channel with a rectangular cross-section, J. Hydrol. Hydromech., 72, 2, 199–206. https://doi.org/10.2478/johh-2024-0008.
- Rezazadeh, S., Manafpour, M., Ebrahimnejadian, H., 2020. Three-dimensional simulation of flow over sharp-crested weirs using volume of fluid method. Journal of Applied Engineering Sciences, 10, 23, 75–82. https://doi.org/10.2478/jaes-2020-0012
- Roache, P.J., 1994. Perspective: A Method for Uniform Reporting of Grid Refinement Studies. Journal of Fluids Engineering, 116, 405–413.
- Saadatnejadgharahassanlou, H., Zeynali, R.I., Gharehbaghi, A., Mehdizadeh, S., Vaheddoost, B., 2020. Three dimensional flow simulation over a sharp-crested V-notch weir. Flow Measurement and Instrumentation, 71, 101684. https://doi.org/10.1016/j.flowmeasinst.2019.101684
- Schoder, E.W., Turner, K.B., 1929. Precise weir measurements. Trans. Am. Soc. Civ. Eng., 1929, 93, 999–1190.
- Shen 1981: Shen, J., 1981. Discharge characteristics of triangular-notch thinplate weirs: Studies of flow of water over weirs and dams.Geological survey water-supply paper, 1617-B. U. S. Govern-ment Printing Office, Washington.
- Sinclair, J.M., Venayagamoorthy, S.K., Gates, T.K., 2022. Some insights on flow over sharp-crested weirs using computational fluid dynamics: Implications for enhanced flow measurement. J. Irrig. Drain Eng., 148, 6, 04022011. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001652
- Streeter, V.L., 1942. The kinetic energy and momentum correction factors for pipe and for open channels of great width, Civil Engineering, 12, 4, 212–213.
- Strickland, T.P., 1910. Mr. James Barr's experiments upon the flow of water over triangular notches. Engineering, 90, 598.
- Subramanya, K., 2019. Flow in Open Channels. 4. McGraw Hill, New Delhi. ISBN 978-9353166298.
- Thomson, J., 1858. On experiments on the measurement of water by triangular notches in weir boards. In: Proc. Twenty-eight Meeting of the British Association for the Advancement of Science. John Murray, Albemarle Street, London, 181–185.
- Thomson, J., 1861. On experiments on the gauging of water by triangular notches. In: Proc. Thirty-first Meeting of the British Association for the Advancement of Science. John Murray, Albemarle Street, London, 151–158.
- Van Maele, K., Merci, B., 2006. Application of two buoyancy-modified k-ε turbulence models to different types of buoyant plumes. Fire Saf. J. 41, 122–138. https://doi.org/10.1016/j.firesaf.2005.11.003
- White, F.M., 2011. Fluid Mechanics. 7th ed. McGraw Hill, New York. ISBN 978-0-07-352934-9
- Yakhot, V., Orszag, S.A., 1986. Renormalization group analysis of turbulence I. Basic theory. Journal of Scientific Computing, 1, 1, 3–51. https://doi.org/10.1007/BF01061452
- Yarnall, D.R., 1912. The V-notch weir method of measurement. J. Am. Soc. Mech. Eng., 34, 2, 1479–1494.
- Yarnall, D.R., 1927. Accuracy of the V-notch-weir method of measurement. Trans. Am. Soc. Mech. Eng., 48, 939–964.
- Zachoval, Z., Roušar, L., 2015. Flow structure in front of the broad-crested weir. In EPJ Web of Conferences 92, 02117. https://doi.org/10.1051/epjconf/20159202117