A GEOMETRIC DESIGN METHOD OF RADIAL INFLOW TURBINE FROM 0D TO 3D FOR ORGANIC RANKINE CYCLE MICRO POWER GENERATION
Keywords:Radial turbine, Organic Rankine Cycle, Power Generation., Radial Inflow Turbine, Organic Rankine Cycle, Power Generations, Design Method, CFD Simulation
AbstractRadial turbine is an essential component of Organic Rankine Cycle system and requires a medium to high specific speed turbine. Radial turbine has a compact structure that can easily be made with current additive manufacturing technology if the 3D geometry of turbine components is known. Current researches only conduct 2D geometry design then import it into third-party software to construct the 3D geometry. This paper will explain design methodology to design radial inflow turbines from 0D until 3D using simple tools. The methods used to determine the geometry were based on Aungier, with modification in determining value of a, b, and c in nozzle design and A1 in Volute design to simplify the design process. The tools used in design were MS Excel and Autodesk Inventor. Rotor design starts with determining the two-dimensional parameters. All parameters are calculated based on the angle and velocities occurring in the velocity triangle at the inlet and outlet of the rotor using equations proposed by Aungier. Then, the straight, radial and quasi-normal lines of the blades are drawn based on governing equations. The transformation from 2D to 3D blade coordinates is done by using vector equations. The nozzle is designed by drawing the camber line profile and calculating the nozzle thickness to get the profile based on the governing equations given by Aungier. The volute dimensions are obtained by calculating the area of volute inlet passage and mean radius from mass and momentum conservation equations. A case study is shown in this paper with R134a as working fluid with the following range inlet conditions: mass flow rate at 1-2 kg/s, inlet pressure at 1.5 to 5 bar, inlet temperature at 80 to 130 °C, and power output target between 20 to 25 kW. The CFD results show that the designed turbine performs well with slight wake flow at the pressure side on the rotor inlet. A further study needs to be done in order to check the validity of this method by conducting analysis through experimental.
Barai. M.K, Saha. B.B. 2005. Energy Security and Sustainability in Japan. 2. 49–56. DOI: https://doi.org/10.5109/1500427
Faisal. M, Baran. B, Khanam, M. Faisal Hasan, M, Miyazaki. T, Baran Saha, B, Koyama S. 2018. Key Factors of Solar Energy Progress in Bangladesh Until 2017. Evergreen - Joint Journal of Novel Carbon Resource Sciences & Green Asia Strategy. 05: 78–85. DOI: https://doi.org/10.5109/1936220
Sharma. M, Dev. R. 2018. Review and Preliminary Analysis of Organic Rankine Cycle based on Turbine Inlet Temperature. Evergreen - Joint Journal of Novel Carbon Resource Sciences & Green Asia Strategy. 5: 22–33. DOI: https://doi.org/10.5109/1957497
Siregar. U.J, Arif. M.F, Suryana. J, Indartono.Y.S. 2018. IOP Conference Series: Earth and Environmental Science Potential of biomass as source for electricity at Pulau Panggang Village, North Kepulauan Seribu Subdistrict. IOP Conference Series: Earth and Environmental Science. 196: 12027. DOI: http://dx.doi.org/10.1088/1755-1315/196/1/012027
Qiu. G. 2012. Selection Of Working Fluids for Micro-CHP Systems With ORC. Renewable Energy, 48: 565–570. DOI: https://doi.org/10.1016/j.renene.2012.06.006
Alshammari. F, Pesyridis. A, Karvountzis-Kontakiotis. A, Franchetti. B, Pesmazoglou. Y. 2018. Experimental Study of a Small-Scale Organic Rankine Cycle Waste Heat Recovery System for a Heavy-Duty Diesel Engine with Focus on The Radial Inflow Turbine Expander Performance. Applied Energy. 215: 543–555. DOI: https://doi.org/10.1016/j.apenergy.2018.01.049
Song.J, Gu.C, Ren.X. 2016. Influence of the Radial-Inflow Turbine Efficiency Prediction on The Design and Analysis of The Organic Rankine Cycle (ORC) System. Energy Conversion and Management. 123: 308–316. DOI: https://doi.org/10.1016/j.enconman.2016.06.037
Fiaschi. D, Manfrida. G, Maraschiello. F. 2015. Design And Performance Prediction of Radial ORC Turboexpanders. Applied Energy. 138: 517–532. DOI: https://doi.org/10.1016/j.apenergy.2014.10.052
Kang. S.H. 2012. Design And Experimental Study of ORC (Organic Rankine Cycle) And Radial Turbine Using R245fa Working Fluid. Energy. 41: 514–524. DOI: https://doi.org/10.1016/j.energy.2012.02.035
Al Jubori. A.M, Al-Dadah R.K, Mahmoud.S, Daabo. A. 2017. Modelling And Parametric Analysis of Small-Scale Axial and Radial-Outflow Turbines for Organic Rankine Cycle Applications. Applied Energy. 190: 981–996. DOI: https://doi.org/10.1016/j.apenergy.2016.12.169
Costall. A.W, Hernandez. A.G, Newton. P.J. 2015. Design Methodology for Radial Turbo Expanders in Mobile Organic Rankine Cycle Applications. Applied Energy. 157: 729–743. DOI: https://doi.org/10.1016/j.apenergy.2015.02.072
Arifin. M, Pasek. A.D. 2015. Design Of Radial Turbo-Expanders for Small Organic Rankine Cycle Systems. IOP Conference Series: Materials Science and Engineering. 88: 012037. DOI: https://doi.org/10.1088/1757-899X/88/1/012037
Aungier. R.H. 2006.Turbine Aerodynamics: Axial-Flow and Radial-Inflow Turbine Design and Analysis; ASME Press: New York. DOI: https://doi.org/10.1115/1.802418
Zahed. A.H. 2015, Bayomi, N.N. Radial Turbine Design Process; ISESCO Journal of Science and. Technology, 11(19): 9-22.
Ventura. C.A.M, Jacobs P.A, Rowlands. A.S, Petrie-Repar, P. Sauret. E. 2012. Preliminary Design and Performance Estimation of Radial Inflow Turbines: An Automated Approach. Journal of Fluids Engineering. ASME. 134. DOI: https://doi.org/10.1115/1.4006174
Wu. H.Y, Pan. K.L. 2018. Optimum Design and Simulation of a Radial-Inflow Turbine for Geothermal Power Generation. Applied Thermal Engineering. 130: 1299–1309. DOI: https://doi.org/10.1016/j.applthermaleng.2017.11.103
Li. Y, Ren, X.D. Investigation of The Organic Rankine Cycle (ORC) System and The Radial-Inflow Turbine Design. 2016. Applied Thermal Engineering. 96: 547–554. DOI: https://doi.org/10.1016/j.applthermaleng.2015.12.009
Rahbar, K.; Mahmoud, S.; Al-dadah, R.K.; Moazami, N. 2015. Parametric Analysis and Optimization of a Small-Scale Radial Turbine for Organic Rankine Cycle. Energy. 83: 696–711. DOI: https://doi.org/10.1016/j.energy.2015.02.079
Shao, S, Deng. Q, Shi. H, Feng. Z, Cheng. K, Peng. Z. 2013. Numerical Investigation on Flow Characteristics of Low-Pressure Exhaust Hood Under Off-Design Conditions for Steam Turbines. Proceedings of the ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. Volume 5B: Oil and Gas Applications; Steam Turbines. San Antonio. l. 5 B. V05BT25A031. DOI: https://doi.org/10.1115/GT2013-95257
Richard E Sonntag, C Borgnakke, Gordon J Van Wylen, IntelliPro. 1994. Computer Aided Thermodynamic Tables 3. Wiley, New York.
R.P. Putri. 2018. Study on Designing 250 Kw Radial Inflow Turbine in Organic Rankine Cycle with Propane as Working Fluid. Master Program Thesis, Institut Teknologi Bandung, Bandung.
Balje. O.E. 1981. Turbomachines. A Guide to Design, Selection and Theory. John Wiley & Sons Inc. United States. DOI: https://doi.org/10.1115/1.3241788
Wood. H.J. 1963. Current Technology of Radial-Inflow Turbines for Compressible Fluids. Journal of Engineering for Gas Turbines and Power. 85: 72–83. DOI: https://doi.org/10.1115/1.3675226
H.F.Basri. 2018. Perancangan Dan Analisis CFD Turbin Radial Inflow Dengan Daya 50 KW pada Siklus Rankine Organik Sederhana Dengan Fluida Kerja R1233zd(E), Bachelor’s Thesis. Institut Teknologi Bandung
Y. Chen, Y. Liu, L. Zhang, and X. Yang, 2021. Three-Dimensional Performance Analysis of a Radial–Inflow Turbine for Ocean Thermal Energy Conversion System. Journal of Marine Science and Engineering, . 9(3): 287. DOI : https://doi.org/10.3390/jmse9030287