A Detailed Analysis of Radial Turbines

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3.2. Mean-line analysis according to physical relations and equations A full mean-line analysis is used to predict the performance at the design point. This analysis is based entirely on physical laws and correlations and the input data needed to perform it is extensive in comparison with the two analysis methods described earlier. This section serves as an investigation of the different equations in the program called ”RIFT”1. Additional equations found in the literature used for loss modeling are also presented. Examples of equations governing simple designing can be found in appendix where a simple design program is developed. Examples of input parameters which are used in a performance analysis are shown in table 3.1 below. It is readily understood that an insufficient number of input parameters will not yield a solution. However, it is not certain that a solution is met if too many parameters are specified. That is because the geometry is already set when conduct- ing a performance analysis and this geometry is most often not able to meet all the specifications at once. Table 3.1.: Performance analyses can be conducted with different set of input vari- ables. Three possible set are presented in this table. Case one Input m ̇ , N, T01, p01 parameters All geometry Case two N, T01, p01, p9 All geometry Case three m ̇ , N, T01, p9 All geometry In the table 3.1, there are three different sets of input variables. If the first set is chosen a direct solution can be obtained. The second requires an iteration where the mass flow is chosen and the exit pressure is calculated. If the calculated exit pressure deviates from the specified, the mass flow is adjusted and the procedure proceeds until it converges on the exit pressure. The third case requires a similar iteration procedure, however, this procedure converges on the inlet total pressure. It is possible to run the analysis with different stator configurations. Generally they can be summed up into four alternatives, shown in table 3.2. 1”RIFT” is used in this thesis to run performance analyses in chapter 4 and is based on chapter nine in the book written by R.H. Aungier [2] 19

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