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mm, yielding a Prantdl number of 7.75 and a liquid only heat transfer coefficient (heth,lo) of 0.28 kW m-2 K-1. Using this value along with the average quality of 0.975 and the pressure ratio of 0.025, equation (5.55) yields a two-phase ethanol heat transfer coefficient of 3.65 kW m-2 K-1. Figure 5-9 shows the ethanol heat transfer coefficient plotted against the cumulative heat duty in the condenser. The ethanol heat transfer coefficient is very low for the single-phase vapor in the first section of the condenser, but jumps to 3.65 kW m-2 K-1 in the first two-phase section (the representative point). The two-phase ethanol heat transfer coefficient then steadily declines as the quality approaches zero at the condenser outlet. The pressure drop calculation was also modified for the two-phase section. Note that, for the sake of simplicity, the pressure drop analysis shown here was not included in the thermodynamic analysis since calculations showed an insignificant effect on the saturation temperatures. However, this analysis was still performed to ensure that pressure drops were not excessive. A correlation proposed by Zhang et al. [54] was applied using the following equations [55]: (5.60) (5.61) (5.62) The pressure drops per unit length for the liquid and vapor portions of the two-phase flow are as follows [55]: dP LΦ2 dP eth,tp l dL l Φl2 1Ch 12 χ2 dLl χχ dP dP dL g 99PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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