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for the representative model is 106.3 W m-2 K-1. The heat transfer coefficient is then used to solve equations (5.29) through (5.34) for the exhaust side fin array efficiency. The heat exchanger wall thermal conductivity is 15.4 W m-1 K-1 and coupled with the heat transfer coefficient of 106.3 W m-2 K-1 and the fin dimensions in Table 5-11, the individual fin efficiency is 60.0% and the fin array efficiency is 64.0%. The coolant channels have a greater width than the exhaust passages and therefore a larger aspect ratio. With a channel width of 2.29 mm and a channel height of 13 mm, the coolant channels have an aspect ratio of 0.176. The following Nusselt number correlation for the single-phase ethanol applies to uniform heat flux and laminar flow in rectangular channels with an aspect ratio of 0.176: Nueth 5.82 (5.72) With a hydraulic diameter of 3.89 mm and a thermal conductivity of 0.132 W m-1 K-1, equation (5.49) yields an ethanol heat transfer coefficient of 197.7 W m-2 K-1. The ethanol side heat transfer coefficient (heth) along with the heat exchanger material thermal conductivity (kw) of 15.4 W m-1 K-1 and the fin thickness (tf) of 0.254 mm can then be used to solve equation (5.34) which produces an m value of 318. The resulting fin efficiency (f) for the representative model is 46.9%. From equation (5.29), the efficiency for the entire fin array is 53.7%. Pressure drop for both fluids in the single-phase section is found using the laminar flow friction factor correlation from Shah and Bhatti [56]: 9611.3553a +1.9467a2 1.7012a3 0.9564a4 0.2537a5 f r r r r r Re<2300 (5.73) Re SB The correlation applies to laminar flow, which was verified for each evaporator model. With an aspect ratio of 0.112 and a Reynolds number of 153, the friction factor for the exhaust flow is 0.547. The exhaust pressure drop per unit length is therefore 398 Pa m-1. For the ethanol flow in 107PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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