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1,621 kJ kg-1 and the actual ethanol enthalpy at point 2 is 444 kJ kg-1, giving a difference of 1,177 kJ kg-1. The actual ethanol enthalpy at point 7 is 1,667 kJ kg-1 and the theoretical enthalpy at T2 and P8 is 1,269 kJ kg-1, giving a difference of 398 kJ kg-1. The second difference is the smaller of the two values, so the maximum recuperator heat transfer is 398 kJ kg-1. The ethanol state at the outlet of the evaporator (point 5) is defined by the evaporation temperature set point from Table 5-3 and the assumed vapor quality of one. Therefore, the state at point 5 is fully defined and the enthalpy and entropy are readily found. For the representative point, the evaporator temperature is 200°C giving an ethanol enthalpy of 1,354 kJ kg-1 and an entropy of 3.8 kJ kg-1 K-1 at point 5. Further analysis of the heat transfer inside the evaporator is split into two parts: single- phase and two-phase. This split is necessary since the application of heat exchanger effectiveness is different for the single-phase and two-phase portions. The single-phase heat transfer in the evaporator is found using the following equations: Qevap,sp mwf,evap hwf,4 hwf,3 Qevap,sp mexh hexh,3 hexh,4 QεQ evap,sp evap,sp evap,sp,max (5.6) (5.7) (5.8) (5.9) (5.10) Starting with equation (5.6), the mass flow rate of ethanol is 5.25 g s-1 and the enthalpies for points 3 and 4 are 762 kJ kg-1 and 850 kJ kg-1 giving a single-phase evaporator heat transfer rate of 0.46 kW. From equation (5.7), the single-phase evaporator heat transfer rate of 0.46 kW, exhaust mass flow rate of 16.3 g s-1, and exhaust enthalpy of 170 kJ kg-1 at point 4, the exhaust enthalpy at point 3 is found to be 198 kJ kg-1. The single-phase evaporator effectiveness is set at 80% (see Table 5- 3) for all models, which results in a maximum single-phase evaporator heat transfer of 0.58 kW Qevap,sp-max Cevap,sp,min Texh,3 Twf,3 Qevap,sp mexhcp,exh,sp Texh,3 Texh,4 79PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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