A Detailed Analysis of Radial Turbines

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A Detailed Analysis of Radial Turbines ( a-detailed-analysis-radial-turbines )

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Table 3.2.: There are in general four stator configurations fitting a radial turbine. They are presented in this table. 1. No stator 2. Nozzle 3. Volute 4. Nozzle + Volute In figure 3.1 it can be seen that the flow is choking at a certain pressure ratio. Expanding further will not give an increase in mass flow as it would if the turbine was not choking. In light of this it can be realized that to get a solution when the turbine is choking, another constraint must be set. The second option in table 3.1 will most often generate an unstable numerical solution. This is because the chosen mass flow can take values, during the iteration, which are higher than the choked mass flow. A simple solution to this problem is shown in figure 3.4. Given: N, T01, p01, p9 All geometry Guess: Pressure at each station For each component, calculate mass flow rate m based on expansion ratio across component Check component mass flows; adjust station pressures until Figure 3.4.: When the mass flow is not given as an input variable a numerical solu- tion might become unstable. A solution to this problem is presented in this figure. Adapted from [12]. One-dimensional performance analyses often only need the geometry to be specified at three different points, the inlet, the exit and somewhere in between. The analysis aims to predict the losses. This can be done by dividing the losses into different groups. It is possible to define the losses as loss in pressure or in enthalpy and corresponding loss coefficients emerge from this. The pressure loss and enthalpy loss coefficients are often 20

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