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the single-phase section, the aspect ratio is 0.176 and the Reynolds number is 9.76, yielding a friction factor of 8.03. The resulting pressure drop per unit length of the ethanol in the single-phase section of the condenser is 0.359 Pa m-1. The required length of the single-phase section of the evaporator is found from the area formulae given below, and the thermal resistance formula in equation (5.68). ANAA s,eth fin,eth f,eth b,eth A 2N Lw b,eth row,exh ch evap ANAA s,exh fin,exh f,exh b,exh A 2N Lw b,exh row,exh ch evap (5.74) (5.75) (5.76) (5.77) (5.78) For the representative single-phase point, the required ethanol channel surface area is 1.04 m2 and the required exhaust channel surface area is 1.25 m2, yielding a required length (Lch) of 0.084 m for the representative single-phase evaporator section. The ethanol and exhaust pressure drops for A2N wL s,w row,exh evap ch the single-phase section are therefore 0.030 Pa and 33.5 Pa, respectively. The two-phase section of the evaporator model was solved by incrementally stepping through the ethanol quality from 0 to 1 in steps of 0.05. For the representative point, the exhaust inlet temperature is 171.6°C, the ethanol inlet temperature is 150°C, and the minimum heat capacity rate is 17.1 J s-1 K-1, yielding a maximum heat transfer rate of 0.371 kW. The actual heat transfer rate for the representative two-phase evaporator slice is 0.203 kW, giving a heat exchanger effectiveness of 55.0% for the given evaporator slice. At each step, the required length of each slice was found using equation (5.67), equation (5.27), and equation (5.68) in the same manner demonstrated for the single-phase section. From the evaporator section effectiveness and the heat capacity ratio of 0 (during phase change), the NTU value for the representative point is 0.791. 108PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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