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Off-Design Analysis of a Radial Outflow Turbine for ORC

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Off-Design Analysis of a Radial Outflow Turbine for ORC ( off-design-analysis-radial-outflow-turbine-orc )

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Energies 2020, 13, 2118 17 of 18 Nomenclature b C c C0 Dh H h i M m. N o α β βg δ ε ζ η 0 00 1 2 3 b design m max References Radial chord Absolute velocity True chord Spouting velocity Hydraulic diameter P Pressure PR Pressure ratio r Radius Re Reynolds number s Entropy, Pitch Temperature Greeks Subscripts Height T Enthalpy t Incidence angle TR Mach number U Mass flow rate W . Number of blades W Throat Absolute flow angle μ Relative flow angle ν Gauging angle ξ Deviation angle ρ Deflection angle φ Loss coefficient ψ Efficiency ω Total state min Total state at station 0 N Nozzle inlet R Nozzle exit & Rotor inlet r Rotor exit s Blade ts Design point tt Meridional component θ Maximum Blade thickness Temperature ratio Peripheral velocity Relative velocity Turbine power Dynamic viscosity Velocity ratio Enthalpy loss coefficient Density Flow coefficient Loading coefficient Angular velocity Minimum Nozzle Rotor Relative Isentropic Total to static Total to total Tangential component 1. Kim, J.-S.; Kim, D.-Y.; Kim, Y.-T. Thermodynamic analysis of a dual loop cycle coupled with a marine gas turbine for waste heat recovery system using low global warming potential working fluids. J. Mech. Sci. Technol. 2019, 33, 3531–3541. [CrossRef] 2. Kim, J.-S. A Study on the Preliminary Design and Performance Analysis of Radial Outflow Turbines for a Supercritical Carbon Dioxide Power Cycle and an Organic Rankine Cycle. Ph.D. Thesis, Korea Maritime and Ocean University, Busan, Korea, February 2020. 3. Kim, J.-S.; Kim, Y.-T.; Kim, D.-Y. A fundamental study on the preliminary design of a radial outflow turbine. J. Korean Soc. Mar. Eng. 2019, 43, 535–544. [CrossRef] 4. Kim, J.-S.; Kim, D.-Y.; Kim, Y.-T. Experiment on radial inflow turbines and performance prediction using deep neural network for the organic Rankine cycle. Appl. Therm. Eng. 2019, 149, 633–643. [CrossRef] 5. Wang, Y.; Tan, X.; Wang, N.; Huang, D. Aerodynamic design and numerical study for centrifugal turbine with different shapes of volutes. Appl. Therm. Eng. 2018, 131, 472–485. [CrossRef] 6. Spadacini, C.; Rizzi, D. Radial outflow turbines for Organic Rankine Cycle expanders. In Organic Rankine Cycle (ORC) Power Systems; Elsevier: Amsterdam, The Netherlands, 2017; pp. 335–359, ISBN 9780081005118. [CrossRef] 7. Bao, J.; Zhao, L. A review of working fluid and expander selections for organic Rankine cycle. Renew Sustain. Energy Rev. 2013, 24, 325–342. [CrossRef] 8. Spadacini, C.; Centemeri, L.; Danieli, M.; Rizzi, D.; Xodo, L. Geothermal Energy Exploitation with the Organic Radial Outflow Turbine. World Geotherm. Congr. 2015, 2015, 1–6.

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