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58 Components design Figure 3-15: Cooler division in groups used for the iterative procedure. properties. Notice that if the leaving properties of the CO2 are considered inputs to the system, the inlet properties are a consequence of the calculation procedure explained earlier. The outlet properties will be the same in each tube, while the inlet properties will be different since each pass experiences different effects with the air at different temperatures. This approach is not correct since in real heat exchangers the inlet properties are the same in each tube, while the outlet states are different. In order to solve this problem, an iterative procedure is adopted. To perform this calculation the pipes are divided in groups according to the number of passes, as shown in Figure 3-15. With separate groups, it is possible to iterate the exit properties of each group, until the desired inlet state is reached. Once this is done, the properties of the air after the group (intermediate air properties in Figure 3-15) are sent to the next group, and the procedure is repeated for the next case until all the groups are covered. The leaving properties of the CO2 in the tubes are now different depending on each group. Further calculations require a unique outlet temperature and pressure in order match them with the required operating conditions. The outlet pressure is calculated as the arithmetic average of the pressures leaving each group, P ̄HL = PHL(i) + ... + PHL(N ) , (3-93) N where PHL(i) is the exit pressure of a single group and N is the number of groups. In order to calculate the leaving temperature it is necessary to obtain the average enthalpy, h ̄HL = hHL(i) + ... + hHL(N) . (3-94) N Finally, the leaving average temperature is a function of the average pressure and enthalpy, T ̄HL =T(P ̄HL,h ̄HL). (3-95) J.S. Bahamonde Noriega Master of Science ThesisPDF Image | Design method for s-CO2 gas turbine power plants
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