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turbine configuration for low-power organic Rankine cycle

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turbine configuration for low-power organic Rankine cycle ( turbine-configuration-low-power-organic-rankine-cycle )

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ACCEPTED MANUSCRIPT π‘š π»π‘œπ‘’π‘‘ = πœŒπ‘œπ‘’π‘‘π‘‰π‘œπ‘’π‘‘cos (𝐡𝐷𝐴)π·π‘œπ‘’π‘‘πœ‹ (18) 3.3 Radial-inflow turbine (RIT) design Fig. 4 shows the basic geometry of the RIT and rotor geometry that are implemented according to the methodology offered by Whitfield and Baines (1990) and Moustapha et al. (2003). To obtain the best turbine isentropic efficiency, the dimensionless parameters, i.e. the flow and loading coefficients (Ο†, ψ) are essential and given with an inlet blade angle (Ξ²4) of 70Β° (Whitfield and Baines, 1990). The current losses model of the RIT combines: the incidence, disk friction, friction, secondary, tip clearance, windage, exit energy, nozzle friction and volute losses model, as tabulated in Table 4. The details of the dimensions of the RIT stage calculations are explained in Glassman (1976) and Whitfield and Baines (1990). The total-to-total turbine isentropic efficiency and total-to-static turbine isentropic efficiency are presented in equation (19) as following (Ventura et al., 2012): Ξ·= βˆ‘ βˆ†hactual + Type of losses Incidence loss Disk friction loss Friction loss Secondary loss Tip clearance loss Windage loss Exit energy loss Nozzle friction loss Volute loss (19) Ref. Ventura et al. (2012) Whitfield and Baines (1990) Suhrmann et al. (2010) Suhrmann et al. (2010) Japikse and Baines πœ€ .πœ€ .𝐢 .𝐢 π‘₯(19π‘Ÿ94π‘₯) π‘Ÿ) Moustapha et al. (2003), Ventura et al. (2012) Suhrmann et al. (2010) Whitfield and Baines (1990) Whitfield and Baines (1990) βˆ†hactual (βˆ†h ) total losses Correlation Table 4 RIT losses modeling. 𝑀2 πœƒ4 βˆ†h𝑖𝑛𝑐𝑖𝑑𝑒𝑛𝑐𝑒 = 2 βˆ†hπ‘‘π‘–π‘ π‘˜ π‘“π‘Ÿπ‘–π‘π‘‘π‘–π‘œπ‘› = π‘˜π‘“πœŒπ‘ˆ34π‘Ÿ24 4π‘š 𝑀4 + (𝑀5𝑑𝑖𝑝 + 𝑀5h𝑒𝑏) βˆ†hπ‘“π‘Ÿπ‘–π‘π‘‘π‘–π‘œπ‘› = π‘“π‘π‘’π‘Ÿπ‘£π‘’[ 𝐢24.𝑑4 βˆ†hπ‘ π‘’π‘π‘œπ‘›π‘‘π‘Žπ‘Ÿπ‘¦ = π‘π‘Ÿπ‘œπ‘‘π‘œπ‘Ÿ.π‘Ÿπ‘ 2 2 𝑙h𝑦𝑑 ] 𝑑h𝑦𝑑 π‘ˆ34.π‘π‘Ÿπ‘œπ‘‘π‘œπ‘Ÿ βˆ†h𝑑𝑖𝑝 π‘π‘™π‘’π‘Ÿπ‘Žπ‘›π‘π‘’ = 8πœ‹ 𝜌.π‘ˆ43.π‘Ÿ24 (0.4.πœ€π‘₯.𝐢π‘₯ + 0.75.πœ€π‘Ÿ.πΆπ‘Ÿ β€’ 0.3 βˆ†hπ‘€π‘–π‘›π‘‘π‘Žπ‘”π‘’ = π‘˜π‘“2.π‘š.𝑀2 5 βˆ†h𝑒π‘₯𝑖𝑑 = 0.5𝐢25 𝑙h𝑦𝑑 βˆ†hπ‘“π‘Ÿπ‘–π‘π‘‘π‘–π‘œπ‘› = 4.π‘“π‘›π‘œπ‘§π‘§π‘™π‘’.𝐢𝑑h𝑦𝑑 πΎπ‘£π‘œπ‘™π‘’π‘‘π‘’πΆ2 βˆ†hπ‘£π‘œπ‘™π‘’π‘‘π‘’ π‘™π‘œπ‘ π‘  = 2 12

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