Supercritical Carbon Dioxide Cycle Analysis

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

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which is a flat plate approximation. The boundary layer thickness is restricted to be less than or equal to one half the hydraulic diameter. Incidence loss upon the diffuser vane depends upon the incidence angle relative to the vane angle. πœ”πΌπ‘πΆ = 0.8 (𝑉3 βˆ’ 𝑉3βˆ—)/𝑉3 2 Eqn. 3-61 where 𝑉3βˆ— is the throat velocity at the design point. The diffuser wake will experience a mixing loss as the flow slows from the wake velocity to the mixed velocity. The mixing loss is calculated similar to that of the impeller. It depends on a mixing velocity and a wake velocity at the diffuser outlet. πœ”=𝑉 βˆ’π‘‰ /𝑉2 Eqn.3-62 𝑀𝐼𝑋 𝑀,π‘€π‘Žπ‘˜π‘’ 𝑀,π‘šπ‘–π‘₯ 3 The wake velocity again depends on the separation velocity and the tangential component of the flow velocity at the diffuser outlet. 𝑉𝑀,π‘€π‘Žπ‘˜π‘’ = 𝑉𝑠𝑒𝑝2βˆ’π‘‰π‘ˆ42 Eqn.3-63 The mixing velocity is again the result of the abrupt flow expansion at the blade passage outlet. It therefore depends on the meridional flow velocity and the geometry of the diffuser blade passage at the outlet. 𝑉𝑀,π‘šπ‘–π‘₯ = 𝐴𝑍𝑉𝑀 4 Eqn. 3-64 2πœ‹π‘…4𝑏4 The separation velocity depends on the diffuser divergence angle and the inlet velocity. 𝑉𝑠𝑒𝑝 = 𝑉3 Eqn.3-65 1+2πΆπœƒ Going into the diffuser calculation, the code determines the length of the vane based on R3 and the input area ratio, the throat area, and the incidence angle on the diffuser vane. It then begins the velocity iteration for station 4. After calculating the losses and blockage, a new value for velocity is determined. The process continues until the flow rate at station 4 matches that at station 3, thus conserving mass. The pressure recovery of the diffuser is defined by the portion of the dynamic pressure at station 3 that is recovered as static pressure at station 4. 70

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