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143 πΆπ is the friction coefficient in the nozzle row.Churchill[261], [262] developed a correlation of the coefficient of friction using the Moody diagram, as shown in equation (β5-71). π π is the average of the Re between the inlet and exit of the nozzle and is expressed in Equation (β5-72). 2 πΆ= 8 + 2.457ππ 1 71 0.9+0.27π€π π π πΆ2π2π2 + πΆ3π3π3 β3 16 162 37530 π π 1 12 + (β5-71) (β5-72) π π π π ππππ§π§ππ = π2 π3 ππ is the relative wall roughness, and a value of 0.0002 m is used as suggested by [234]. In ORC turbines, supersonic phenomenon π3 > 1 is expected at the stator exit due to the higher pressure ratio of the cycle and low speed of sound for organic fluids. For π3 > 1, the flow is choked and the mass flow remains constant for any pressure ratio equal or greater than the choked value. In this case, the pressure ratio can have infinite number of values at the same mass flow rate. Therefore, the choked condition has been considered in the current model. When the blade raw is choked at the stator exit, the choked mass is kept fixed. Then, the velocity triangle is solved using the choking mass flow rate value without the need for iteration. 2PDF Image | Automotive Radial Turbine Expander Design WHR
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