Considering the limited amount of fossil fuels, the use of small-scale renewable energy generators has been promoted in various regions. One of the tools for small-scale power generation is the hydrodynamic screw, known as a floating turbine, which can convert the potential and kinetic energy of water into mechanical energy. In this paper, an investigation on the conditions of hydrodynamic screw as Archimedes screw turbine for electricity generation in laboratory scale is presented. For this purpose, two different screws were fabricated and used to achieve the optimum conditions for power generation as laboratory samples. A central composite design, the most commonly used approach from resource surface methodology, was developed to improve the modeling and reduce the number of laboratory tests for the input data of the simulation model developed via Design Expert software. Design Expert software was used to calculate optimized points for each bolt considering the experimental results. The results indicated that a higher number of blades with a shorter pitch, together with an increased number of trapped buckets between two consecutive blades, could have a direct impact on the optimal performance of the turbines. The results of optimized points indicated that by setting the discharge value on 5.64 L/s and the screw installation slope on 28.49°, the power was calculated to be 66.71 W for screw no. 1. This parameter was found to be equal to 12.96 W for screw No. 2, when the flow rate value and the screw installation slope were set on 7 L/s and 32.74°, respectively. Finally, the results of the simulation were validated in the laboratory and found to be acceptable considering ± 5% error value. Our findings indicate that both physical factors—such as pitch of blades and number of blades—and environmental factors—such as the slope of installation and discharge volume—can significantly affect the energy generation.
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Bhattacharya, S. (2021). Central composite design for response surface methodology and its application in pharmacy. Response surface methodology in engineering science-IntechOpen. https://doi.org/10.5772/intechopen.95835.
Bouvant, M., Betancour, J., Velásquez, L., Rubio-Clemente, A., & Chica, E. (2021). Design optimization of an Archimedes screw turbine for hydrokinetic applications using the response surface methodology. Renewable Energy, 172, 941–954.
Box, G. E. P., & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, Series B, 13, 1–38. Discussion: 3845.
Dellinger, G., Simmons, S., Lubitz, W. D., Garambois, P., & Dellinger, N. (2019). Effect of slope and number of blades on Archimedes screw generator power output. Renewable Energy, 136, 896–908. https://doi.org/10.1016/j.renene.2019.01.060
Deng, Z., Carlson, T. J., Double, D. D., & Ploskey, G. R. (2011). Fish passage assessment of an advanced hydropower turbine and conventional turbine using blade-strike modeling. Energies, 4, 57–67. https://doi.org/10.3390/en4010057
Erinofiardi, E. (2014). Preliminary design of Archimedean screw turbine prototype for remote area power supply. Journal of Ocean Mechanical and Aerospace Science and Engineering (JOMAse), 5, 30–33.
Erinofiardi, E., Nuramal, A., Bismantolo, P., Date, A., Akbarzadeh, A., Manil, A. K., & Suryono, A. F. (2017). Experimental study of screw turbine performance based on different angle of inclination. Energy Procedia, 110, 8–13. https://doi.org/10.1016/j.egypro.2017.03.094
Havn, T. B., Sæther, S. A., Thorstad, E. B., Teichert, M. A. K., Heermann, L., Diserud, O. H., Borcherding, J., Tambets, M., & Økland, F. (2017). Downstream migration of Atlantic salmon smolts past a low head hydropower station equippped with Archimedes screw and Francis turbines. Ecological Engineering, 105, 262–275. https://doi.org/10.1016/j.ecoleng.2017.04.043
Horch, J. C. (1916). Proefnemingen met een watervijzel [Experiments with a water ram pump]. De Ingenieur, 49, 945–954. In German.
International Energy Agency (IEA). (2010). Annex-2: small scale hydropower Sub-Task B2 innovative technologies for smallscale hydro: summray report. Implementing agreement for hydropower technologies and programmes. https://www.ieahydro.org/media/61f1530f/101012_Annex-2_Subtask-B2_Summary-Report.pdf.
Kantert, P. J. (2008). Praxishandbuch Schneckenpumpe: Ratgeber und Entscheidungshilfe fϋr Planer. Bauherren und Betreiber [Manual for Archamedian screw pump: guide and decision making aid for planners, builders and operators]. Deutsche Vereinigung für Wasserwirtschaft, Abwasser und Abfall. In German.
Kleijnen, J. P. (2015). Response surface methodology. Handbook of simulation optimization (pp. 81–104). Springer. https://doi.org/10.1007/978-1-4939-1384-8_4
Knížat, B., Csuka, Z., & Hyriak, M. (2016). Impeller design of a single blade hydrodynamic pump. AIP Conference Proceedings, 1768(1), 020034. https://doi.org/10.1063/1.4963056
Koetsier, T., & Blauwendraat, H. (2004). The Archimedean screw-pump: a note on its invention and the development of the theory. In M. Ceccarelli (Ed.), International Symposium on History of Machines and Mechanisms, pp. 181–194. Springer International Publishing. https://doi.org/10.1007/1-4020-2204-2_15.
Kraybill, Z. (2013). Structural analysis of an Archimedes screw and a kinetic hydro turbine. Lehigh University.
Lavrič, H., Rihar, A., & Fišer, R. (2018). Simulation of electrical energy production in Archimedes screw-based ultra-low head small hydropower plant considering environment protection conditions and technical limitations. Energy, 164, 87–98. https://doi.org/10.1016/j.energy.2018.08.144
Lee, K. T., Kim, E. S., Chu, W. S., & Ahn, S. H. (2015). Design and 3D printing of controllable-pitch Archimedean screw for pico-hydropower generation. Journal of Mechanical Science and Technology, 29(11), 4851–4857. https://doi.org/10.1007/s12206-015-1032-y
Lisicki, M., Lubitz, W. D., & Taylor, G. W. (2016). Optimal design and operation of Archimedes screw turbines using Bayesian optimization. Applied Energy, 183, 1404–1417. https://doi.org/10.1016/j.apenergy.2016.09.084
Loots, I., Van-Dijk, M., Barta, B., Van-Vuuren, S. J., & Bhagwon, J. N. (2015). A review of low head hydropower technologies and applications in South African context. Renewable and Sustainable Energy Reviews, 50, 1254–1268. https://doi.org/10.1016/j.rser.2015.05.064
Lubitz, W. D. (2014). Gap flow in Archimedes screws. In Proceedings of the Canadian Society for Mechanical Engineering (CSME), International Congress, Toronto, Canada, June 1–4.
Lubitz, W. D., Lyons, M., & Simmons, S. (2014). Performance model of Archimedes screw hydro turbines with variable fill level. Journal of Hydraulic Engineering, 140(10), 04014050. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000922
Müller, G., & Senior, J. (2009). Simplified theory of Archimedean screws. Journal of Hydraulic Research, 47(5), 666–669. https://doi.org/10.3826/jhr.2009.3475
Muysken, J. (1932). Berekening van het nuttig effect van de vijzel [Calculation of the effectiveness of the screw]. De Ingenieur, 21, 77–91. In Dutch.
Myers, R. H., Khuri, A. I., & Carter, W. H. (1989). Response surface methodology: 1966–l988. Technometrics, 31(2), 137–157. https://doi.org/10.1080/00401706.1989.10488509
Myers, R. H., Montgomery, D. C., & Anderson-Cook, C. M. (2016). Response surface methodology: Process and product optimization using designed experiments. Wiley.
Nagel, G., & Radlik, K. A. (1988). Wasserf orderschnecken: Planung, Bau und Betrieb von Wasserhebeanlagen [Screw pumps: planning, construction and operation of water raising systems]. Udo Pfriemer Buchverlag. In German.
Nuernbergk, D. M. (2017). Archimedes screw in the twenty-first century. In: C. Rorres (Ed.), Archimedes in the 21st century, trends in the history of science (pp. 113–124). Springer International Publishing, Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-58059-3_6.
Nuernbergk, D. M., & Rorres, C. (2013). Analytical model for water inflow of an Archimedes screw used in hydropower generation. Journal of Hydraulic Engineering, 139(2), 213–220. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000661
Rohmer, J., Knittel, K., Sturtzer, G., Flieller, D., & Renaud, J. (2016). Modeling and experimental results of an Archimedes screw turbine. Renewable Energy, 94, 136–146. https://doi.org/10.1016/j.renene.2016.03.044
Rorres, C. (2000). The turn of the screw: Optimal design of an Archimedes screw. Journal of Hydraulic Engineering, 126(1), 72–80. https://doi.org/10.1061/(ASCE)0733-9429(2000)126:1(72)
Stergiopoulou, A., & Stergiopoulos, V. (2013). Archimedes in cephalonia and in Euripus strait: modern horizontal archimedean screw turbines for recovering marine power. Journal of Engineering Science & Technology Review, 6(1), 44–51.
Stergiopoulou, A., Stergiopoulos, V., & Kalkani, E. (2013). Contributions to the study of hydrodynamic behavior of innovative Archimedean screw turbines recovering the hydro potential of watercourses and of coastal currents. In: Proceedings of the 13th International Conference on Environmental Science and Technology, CEST2013_0196, Athens, Greece.
Stergiopoulou, A., Stergiopoulos, V., Pelikan, B., Kalkani, E., Liakopoulos, A., & Farsirotou, E. (2014). Archimedes in Cephalonia and in euripus strait: Towards some modern old Archimedean screw ideas for recovering Mediterranean Sea power. Journal Odysseus Environmental and Cultural Sustainability of the Mediterranean Region, 6, 21–43.
Waters, S. R. (2015). Analyzing the performance of the Archimedes screw turbine within tidal range technologies. Lancaster University.
Waters, S. R., & Aggidis, G. A. (2015). Over 200 years in review, revival of the Archimedean screw from pump to turbine. Renewable and Sustainable Energy Reviews, 51, 497–505. https://doi.org/10.1016/j.rser.2015.06.028
Williamson, S. J., Stark, B. H., & Booker, J. D. (2014). Low head Pico hydro turbine selection using a multi-criteria analysis. Renewable Energy, 61, 43–50. https://doi.org/10.1016/j.renene.2012.06.020
Zafirah-Rosly, C., Jamaludin, U. K., Suraya-Azahari, N., Nik-Mu’tasim, M. A., Oumer, A. N., & Rao, N. T. (2016). Parametric study on efficiency of Archimedes screw turbine. ARPN Journal of Engineering and Applied Sciences, 11(18), 10904–10908.
Zhu, D., & Deng, Z. (2017). Ultra-low-head hydroelectric technology: A review. Renewable and Sustainable Energy Reviews, 78, 23–30. https://doi.org/10.1016/j.rser.2017.04.086
The authors would like to express their thanks to Dr. A. M. Zahedi for his dedication during the course of this research.
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Eskandariun, H., Noorollahi, Y., Ghobadian, B. et al. Hydrodynamic screw parameter optimization for maximum power output. Int J Energ Water Res 5, 413–423 (2021). https://doi.org/10.1007/s42108-021-00140-6
- Hydrodynamic screw
- Hydropower turbine
- Laboratory scale
- Renewable energy