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CHAPTER 5: Mean-line Modelling and Optimization of Organic RIT and Integration with Cycle Analysis Programme parameters at the rotor outlet (St,5, Tt,5, Οt,5, Pt,5, Pt,5,rel, ht,5,rel ,T5, h5, Ο5) were determined using the isentropic expansion state point (h5s, S5s=S1), Ξhactual and (C5,W5). The rotor exit flow area (A5) and the rotor exit tip radius (r5,tip) were obtained as below using the known r5hub/r4 ratio given in Table 5-3. π΄5 = π 5,π‘ππ πΜ ππ Equation 5-19 ππ4π5(1βπ΅πΎ) = βπ΄5 + π2 Equation 5-20 π 5,hπ’π Same value for BK was used similar to chapter three and the same correlation was employed for specifying Zrotor shown in Equation 3-26. In order to determine the rotor blade inlet angle (Ξ²4,blade) the below equations were used (Aungier 2006). π = 1 β ππππ‘ππ π‘4 2ππ cosπ½ Equation 5-21 Equation 5-22 4 πΆ = (1 β βcos π½4,πππππ) (π π,4 ππππ‘ππ0.7 4 4,πππππ β πΆ π,4 tan π½4,πππππ) π Where t4 is the rotor blade inlet thickness equal to 0.04r4 according to (Aungier 2006). EES can iteratively solve the two above explicit equations for Ξ²4,blade. 5.4.3. Nozzle modelling Modelling of nozzle is similar to section 3.5.3 with the only difference that the ratio of nozzle inlet to exit (r2/r3) was taken as a free parameter shown in Table 5-3. In addition, instead of using the cambered vanes shown in Figure 3-8, un-cambered nozzle vane geometry was created as the nozzle ring was located after the volute. 5.4.4. Volute modelling To transfer the fluid uniformly around the periphery of the nozzle ring, the ratio of the volute inlet area to inlet radius (A1/r1) should be a linear function of the polar angle. Assuming circular cross section for the volute shown in Figure 5-4, key geometry and 167 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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