Supercritical Carbon Dioxide Cycle Analysis

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Supercritical Carbon Dioxide Cycle Analysis ( supercritical-carbon-dioxide-cycle-analysis )

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π‘Šπ‘†πΈπ‘ƒ = 0.5π‘Š2π·π‘’π‘ž π‘–π‘“π·π‘’π‘ž >2.0 π‘Š2 𝑖𝑓 π·π‘’π‘ž < 2.0 Eqn.3-31 Where π·π‘’π‘ž is the equivalent diffusion factor as defined earlier in Eqn. 3-27. The mixing velocity simply takes into account the flow expansion at the impeller outlet, and is therefore a function of the flow velocity and the blade passage geometry at the outlet. πΆπ‘š,π‘šπ‘–π‘₯ =𝑉2𝐴2/πœ‹π·2𝑏2 Eqn.3-32 Diffusion losses are those losses which occur between the leading edge of the impeller blade and the blade passage throat. They are negligible for most impellers and are rarely greater than the blade incidence loss. The diffusion loss is defined as a fractional pressure loss. πœ”π·πΌπΉ =0.81βˆ’π‘Šπ‘‘π‘•/π‘Š1 2βˆ’πœ”πΌπ‘πΆ Eqn.3-33 where π‘Šπ‘‘π‘• is the relative velocity without the inlet blockage considered. The diffusion loss must be greater than zero. If the calculated value is negative it will be set to zero. Hub-to-shroud mixing losses are caused by the pressure gradient between the hub and the shroud, within the blade passage. The hub-to-shroud mixing loss is defined as a fractional pressure loss. πœ” = πœ… π‘π‘Š/π‘Š 2/6 Eqn. 3-34 𝐻𝑆 π‘š 1 πœ…π‘š = 𝛼2 βˆ’π›Ό1 /𝐿𝑏 Eqn.3-35 and 𝑏 and π‘Šare the average blade passage height and relative velocities, respectively. Within the blade passage there is an expansion loss caused by imperfect diffusion through the expanding blade passage. The result depends on the blockage at the impeller outlet which is determined by correlation to be 𝐡 =πœ” 𝜌1𝑉12 π‘Š1𝐷𝑕𝑦𝑑 + 0.3+𝑏2 𝐴2 2 𝜌2𝑏2 +π‘π‘π‘™π‘’π‘Žπ‘Ÿ 2𝑆𝐹2 2 𝜌 2 𝑉2 π‘Š2 𝑏 2 𝐿 𝑏 𝐴 1 𝜌 1 𝐿 𝑏 2 𝑏 2 and the expansion loss is defined as a fractional pressure loss given by 64 Eqn.3-36

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