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Since the ethanol state at this point is completely defined by the temperature and the quality, the low side pressure, enthalpy, and entropy at this point are also known. For the representative conditions at point 1, the condenser temperature of 90°C and a quality of one result in a low side ethanol pressure of 158 kPa, an ethanol enthalpy of 436 kJ kg-1, and an ethanol entropy of 1.74 kJ kg-1 K-1. The ethanol state at point 2 can be found by considering the isentropic efficiency of the fluid pump, which is defined as follows: hwf,2,s hwf,1 (5.2) pump,s the isentropic enthalpy at point 2 are known. Therefore, the actual enthalpy at point 2 can be found using equation (5.2). For the representative point, the isentropic enthalpy at point 2 is 440 kJ kg-1, giving an enthalpy of 444 kJ kg-1 at point 2. To find the ethanol state at point 3, the energy balance on the recuperator is used: (5.3) hwf,2 hwf,1 The isentropic efficiency of the fluid pump is set as 50%, and the enthalpy at point 1 along with Qrec hwf,3 hwf,2 hwf,7 hwf,8 Q Q (5.4) rec rec rec,max From the values in Table 5-5, the ethanol enthalpy at point 7 is 1,667 kJ kg-1 and the enthalpy and point 8 is 1,349 kJ kg-1, giving an enthalpy of 762 kJ kg-1 at point 3 for the representative point. The effectiveness of the recuperator is set to 80%. The maximum recuperator heat transfer is defined as follows: Q min h h , h h (5.5) rec,max wf,7/3 wf,2 wf,7 wf,2/8 Here, the maximum heat transfer is the smaller of the two possible enthalpy difference bounds. The first is the difference between the theoretical enthalpy of ethanol at T7 and P3 and the actual enthalpy at point 2, and the second is the difference between the actual enthalpy at point 6 and the theoretical enthalpy of ethanol at T2 and P8. The theoretical enthalpy of ethanol at T7 and P3 is 78PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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