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give an NTU value of 0.291, which results in a UA value of 49.5 W K-1. The thermal resistance for heat transfer across the oil cooler resembles that of the evaporator, superheater, and recuperator: R 1 1 tw,oc 1 (5.92) oc,tot UA h A k A h A o,oc,oil oc,oil oc,oil w,oc w,oc,avg o,oc,air oc,air oc,air The calculation of the individual thermal resistances differs slightly due to the channel aspect ratio that is unique to the heat exchanger models described so far. Similar to the previous models, the Nusselt number relation given in equation (5.49) was used to estimate the heat transfer coefficient for the oil side heat transfer. The oil channels have an aspect ratio of 0.22, which translates to a Nusselt number of 5.53. With a hydraulic diameter of 4.15 mm and a thermal conductivity of 0.137 W m-1 K-1, the oil side heat transfer coefficient for the representative point is 182.6W m-2 K-1. The oil side heat transfer coefficient (hoil) along with the channel wall thermal conductivity (kw) of 240 W m-1 K-1 and the fin thickness (tf) of 0.5 mm can then be used to solve equation (5.34), which results in an m value of 55.2. The resulting oil side fin efficiency (f) for the representative model is 96.4%. From equation (5.29), the efficiency for the entire fin array is 99.4%. Oil side pressure drop is once again found using the Darcy- Weisbach formula (equation (5.42). The friction factor is estimated using the Shah and Bhatti correlation (equation (5.73)), with inputs of 1.63 and 0.22 for the Reynolds number and oil channel aspect ratio, respectively. The friction factor is 46.6, the mass flux is 12.2 kg m-2 s-1, the oil density is 834.4 kg m-3, and the hydraulic diameter is 4.15 mm, yielding a pressure drop of 1.01 kPa m-1. The air side heat transfer calculations mimic the process outlined for the louvered finned air passages in the condenser model. Equations (5.36) through (5.41) are used to estimate the heat transfer coefficient for the air side of the oil cooler using the values supplied in Table 5-17 and 5- 16. The air side heat transfer coefficient is found to be 111 W m-2 K-1 for the representative point. The air side heat transfer coefficient (hair) along with the heat exchanger aluminum wall thermal 127PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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