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Figure 5-21. Left: Cross-section of liquid channels in recuperator. Right: Cross-section of vapor channels in recuperator. efficiency for the entire fin array is 93.2%. The friction factor correlation for the exhaust pressure drop used for the evaporator (equation (5.73) was also applicable to both ethanol streams through the recuperator. With a Reynolds number (Rev) of 1,213 and an aspect ratio (αlow) of 0.112, the friction factor for the vapor side is 68.9 × 10-3. The vapor side ethanol mass flux is 5.76 kg m-2 s-1, the ethanol density is 2.11 kg m-3, and the hydraulic diameter of the exhaust channel is 2.6 mm, yielding a pressure drop of 208 Pa m-1. The calculations for the liquid side are identical to the vapor side calculations. The thermal conductivity (kl) is 0.143 W m-1 K-1 and the hydraulic diameter (Dh) is 2.6 mm, giving a liquid ethanol heat transfer coefficient of 372 W m-2 K-1. The liquid side heat transfer coefficient (hl) along with the heat exchanger material thermal conductivity (kw) of 47.0 W m-1 K-1 and the fin thickness (tf) of 0.254 mm can then be used to solve equation (5.34), which results in an m value of 177. The resulting liquid side fin efficiency (f) for the representative model is 71.2%. From equation (5.29), the efficiency for the entire fin array is 73.7%. The liquid side ethanol Reynolds number (Rel) for the representative point is 40.1 and the aspect ratio (αv) is 0.112, giving a friction 122PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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