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CHAPTER 5: Mean-line Modelling and Optimization of Organic RIT and Integration with Cycle Analysis Programme π 5 h 5,π π = π = π‘,1 Equation 5-12 Equation 5-13 Equation 5-14 Equation 5-15 5,π πΈπ π‘π π5,π = ππ‘,1 = πΈππ(π , π ) 5,π 5,π π₯hπππππ = hπ‘,1 β h5,π The main mean-line modelling principles described in section 3.5.1 were also implemented in this chapter with the main difference of using real-gas formulation. Therefore from the previous total to static efficiency (Ξ·stage,ts) solution (i.e. the current iteration guess for the total to static efficiency), the actual enthalpy drop (Ξhactual), turbine power output (Wurbine) and rotor inlet wheel velocity (U4) were obtained as following: π₯hπππ‘π’ππ = π₯hπππππππ π‘πππ,π‘π ππ‘π’πππππ = πΜ π€ππ₯hπππ‘π’ππ π4 = βπ₯hπππ‘π’ππ π Equation 5-16 Equation 5-17 Equation 5-18 With the assumption of zero exit swirl (Ξ±5=0), Equation 3-19 can be readily solved for CΞΈ,4 and hence the velocity triangles in Figure 5-3 (b) and (c) were obtained accordingly with the known ΞΎ value given in Table 5-3 and trigonometric rules. If any other value is selected for Ξ±5 the same algorithm shown in Figure 3-7 was also applied to the current model (but with real-gas formulation) to cover these cases as well. The turbine inlet total thermodynamic properties (St,1, ht,1, Οt,1) were obtained using the real gas EoS as a function of Tt,1 and Pt,1. The total thermodynamic properties at the rotor inlet (Tt,4, St,4,ht,4, Οt,4) were calculated using the real gas EoS as a function of Pt,4 and ht,4 (adiabatic assumption, ht,4=ht,1), where the former was obtained by Equation 3-17. Then the static thermodynamic properties (T4, h4, Ο4) at the rotor inlet were obtained with the calculated flow velocities (C4, W4). Similarly, the total, relative total and static thermodynamic 166 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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