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Energies 2020, 13, 2118 4 of 19 ππΜ = ππ1πΆπΆ1ππ2ππππ1π»π» = ππ2πΆπΆ2ππ2ππππ2π»π» = ππ3πΆπΆ3ππ2ππππ3π»π» (2) Figure 3. Enthalpyβentropy diagram of a radial outflow turbine. The total-to-total efficiency (ππ ) and total-to-static efficiency (ππ ) of the turbine are as follows in π‘π‘π‘π‘ π‘π‘π‘π‘ Equations (3) and (4), respectively. In addition, the total state enthalpy (h ) and static state enthalpy (h) have the relationship of Equation (5) at a specific point. πππ‘π‘π‘π‘ = (h01 β h03)/(h01 β h03π‘π‘) (3) πππ‘π‘π‘π‘ = (h01 β h03)/(h01 β h3π‘π‘π‘π‘) (4) h0 =h+0.5πΆπΆ2 (5) Maksiuta et al. [21] found that radial outflow turbines, as well as radial inflow turbines, had an appropriate velocity ratio (Ξ½) of 0.7. The velocity ratio is defined in Equation (6). Here, the peripheral velocity of the rotor inlet (ππ2) and spouting velocity (πΆπΆ0) are shown in Equations (7) and (8), respectively. Ξ½ = ππ2/πΆπΆ0 (6) ππ2 = ππ2ππ (7) πΆπΆ0 = οΏ½2(h01 β h3π‘π‘π‘π‘) (8) The definitions of the nozzle enthalpy loss coefficient (ππππ ) and rotor enthalpy loss coefficient (πππ π ) of a radial outflow turbine are as shown in Equations (9) and (10), respectively [23]. The total-to-total 0 efficiency (ππ ) and total-to-static efficiency (ππ π‘π‘π‘π‘ π‘π‘π‘π‘ ) of the turbine can be expressed by using the enthalpy loss coefficients shown in Equations (11) and (12) [20,22]. hβh ππ=2 2π‘π‘ (9) ππ 0.5πΆπΆ2 ππ =h3βh3π‘π‘ (10) π π 0.5ππ32PDF Image | Analysis of a Radial Outflow Turbine for Organic Rankine Cycles
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