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SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC

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SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC ( small-scale-radial-inflow-turbine-for-whr-orc )

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CHAPTER 3: Methodology for Developing Radial Inflow Turbine (RIT) enthalpy drop) that underlines its dominance specifically for compact units. As suggested in (Whitfield et al. 1990, Moustapha et al. 2003, Aungier 2006) the rotor exit swirl angle (Ξ±5) is often considered to be zero in order to reduce the rotor exit kinetic loss and then Equation 3-19 can be readily solved for CΞΈ,4. Subsequently, solution for the velocity triangles are obtained with the known rotor inlet absolute flow angle (Ξ±4) given in Table 3-1 and the trigonometric rules. Afterwards, static thermodynamic properties at the rotor inlet and exit as well as rotor inlet width (b4) are obtained as following: Equation 3-20 Equation 3-21 Equation 3-22 Equation 3-23 Equation 3-24 𝑇4=𝑇𝑑,4βˆ’ 4 2𝐢𝑝 𝛾 𝑇4 π›Ύβˆ’1 𝑃4=𝑃𝑑,4(𝑇 ) 𝑑,4 𝑇5=𝑇𝑑,5βˆ’ 5 2𝐢𝑝 𝛾 𝑇5 π›Ύβˆ’1 𝑃5=𝑃𝑑,5(𝑇 ) 𝑑,5 𝑏4= π‘šΜ‡π‘…π‘‡4 2πœ‹π‘Ÿ4πΆπ‘š,4𝑃4 𝐢2 𝐢2 It should be mentioned that it is sometimes required to add a positive swirl (Ξ±5 > 0) in order to compromise between the passage loss and exit kinetic loss. Also in some cases a negative exit swirl (Ξ±5 < 0) is required for increasing the power output (Equation 3-19). These cases should be treated differently and their solving method is based on an iterative algorithm shown in Figure 3-7 and is implemented into the mean-line code. With this procedure the velocity triangles and static thermodynamic properties can be determined accurately with any value of Ξ±5 (i.e. positive, zero or negative). The rotor axial length (lrotor,x) and the number of rotor blades (Zrotor) are determined from (Aungier 2006) and (Glassman et al. 1976) correlations respectively. 67 | P a g e

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