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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) 3.5.4.6. Windage loss (πœ€π‘ )0.1 π‘˜π‘“ = 3.7 π‘Ÿ4 𝑅𝑒0.5 (πœ€π‘)0.1 π‘˜π‘“ = 0.102 π‘Ÿ4 𝑅𝑒0.2 Nozzle friction loss π‘“π‘œπ‘Ÿ 𝑅𝑒 < 105 π‘“π‘œπ‘Ÿ 𝑅𝑒 > 105 Equation 3-51 Equation 3-52 π›₯h𝑒π‘₯𝑖𝑑 = 5 2 Equation 3-49 π›₯hπ‘€π‘–π‘›π‘‘π‘Žπ‘”π‘’ = 𝑓 4 4 4π‘šΜ‡ 𝐢2 The only external loss that is usually considered in the modelling of RIT is the windage (disc friction) loss due to the fluid leakage between the back face of the rotor disc and the stationary turbine back plate (Whitfield et al. 1990) shown in Figure 3-6. Equation 3-50 depicts the windage loss. Equation 3-50 π‘˜ πœŒΜ…π‘ˆ3π‘Ÿ2 Where πœŒΜ… is the average density between the rotor inlet and exit, Ξ΅b is the rotor back plate clearance obtained by Equation 3-48 and kf is calculated as below (Whitfield et al. 1990). 3.5.4.7. Nozzle friction loss is found by Equation 3-53 (Whitfield et al. 1990) where 𝐢̅ is the average of the nozzle inlet and exit absolute velocities and f is obtained by Equation 3-39. π›₯hπ‘“π‘Ÿπ‘–π‘π‘‘π‘–π‘œπ‘›,π‘›π‘œπ‘§π‘§π‘™π‘’ = 4𝑓𝐢̅2 𝑙h𝑦𝑑,π‘›π‘œπ‘§π‘§π‘™π‘’ 𝑑h𝑦𝑑,π‘›π‘œπ‘§π‘§π‘™π‘’ Equation 3-53 Equation3-54 Equation3-55 Further details regarding the developed mean-line code in EES is provided in Appendix (B). 𝑙 =π‘Ÿ βˆ’π‘Ÿ h𝑦𝑑,π‘›π‘œπ‘§π‘§π‘™π‘’ 2 3 𝑑h𝑦𝑑,π‘›π‘œπ‘§π‘§π‘™π‘’ =0.5( 2 3 2 + 4πœ‹π‘Ÿ 𝑏 8πœ‹π‘Ÿ 𝑏 cos𝛼 8πœ‹π‘Ÿ 𝑏 cos𝛼 3 3 3) 4πœ‹π‘Ÿ 𝑏 4πœ‹π‘Ÿ + 3 3 4πœ‹π‘Ÿ + 2 3 2𝜎3𝜎 74 | P a g e

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