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CHAPTER 3: Methodology for Developing Radial Inflow Turbine (RIT) With the known r4 the rotor exit hub and tip radii (r5,hub, r5,tip) can be found with the input geometry ratios shown in Table 3-1 and based on them the rotor exit flow area (A5) and r5,rms are calculated accordingly. π΄ = Ο(π2 β π2 )(1 β BK) Equation 3-15 5 5,π‘ππ 5,hπ’π π = βπ΄5 + π2 Equation 3-16 5,πππ 2π 5,hπ’π Where BK is the blockage factor due to the effect of boundary layer growth at the rotor exit with the value of 0.1 as suggested in (Baines 2003). With the adiabatic assumption (Tt,1 = Tt,4), total thermodynamic properties at the rotor inlet and exit are obtained as following (Moustapha et al. 2003, Aungier 2006): π =π β(π πΆ21βππ π‘πππ,π‘π )=π β(π Ξh 1βππ π‘πππ,π‘π ) Equation3-17 π‘,4 π‘,1 π‘,1 π 8 π‘,1 π‘,1 πππ‘π’ππ 4ππ π‘πππ,π‘π πΎβ1 π =π (1βπ (1β( 1 ) πΎ )) πΈπ π‘π Equation3-18 π‘,5 π‘,1 π π‘πππ,π‘π Equation 3-17 is used as an initial estimate of the losses in the nozzle (and volute if applicable). After the first iteration when the geometry of nozzle (and volute) is known, the nozzle (and volute) loss will be used instead. Euler turbomachinery equation (Equation 3-19) was used for calculating the velocity triangles both at the inlet and outlet of rotor blades. π₯h = π πΆ β π πΆ = 1 [(π2 β π2) β (π2 β π2) + (πΆ2 β πΆ2)] πππ‘π’ππ4π,45π,5245 45 45 Equation 3-19 Equation 3-19 shows the advantage of RIT over the axial flow turbine where for the latter the term (U42-U52) has no contribution to the specific power as U is approximately constant from inlet to exit (Figure 2-20). In contrast, due to the significant radius change in the RIT this term has considerable contribution to the overall specific power (specific 66 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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