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0.04 3.8x0.76 1 x heth,tp heth,lo 1 x 0.38 0.8 r (5.55) (5.56) The correlation is based on the heat transfer coefficient for an entirely liquid flow (heth,lo), with the same flow rate as the total flow rate. Similarly, the Reynolds number is calculated as if all the flow were liquid. Shah did caution that the accuracy of the correlation tends to decrease as the Reynolds numbers drop and the Reynolds numbers were in the range of 14-62 for all systems. This fact coupled with the fact that the correlation’s deviation from the mean for the data it was derived from was near 15% suggests caution should be used in relying on the absolute results. Additionally, this model applies the correlation to smaller channel diameters than the cases used for creation of the correlation. The accuracy may therefore be lower than Shah estimated, but all models (for each coolant temperature) use the same correlation so even if the heat transfer correlation is not highly accurate, the model results will be useful in comparison to one another. The liquid only Reynolds number is defined as: P h 0.023Re0.8 Pr0.4k /D eth,lo D,eth,lo l l h,eth Re Geth Dh,eth (5.57) D,eth,lo Pr cp,eth,l μeth,l (5.58) l PP (5.59) l The non-dimensional Prandtl number (Prl) for liquid ethanol in equation (5.56) is defined as: keth,l Note that this is different from the pressure ratio (Pr) from equation (5.55) which is given by: r crit,eth P For the representative point, the ethanol mass flux is 30.9 kg m-2 s-1, the hydraulic diameter is 0.761 mm and the liquid ethanol dynamic viscosity is 0.381 mPa-s, giving a Reynolds number of 61.8. The ethanol thermal conductivity is 0.150 W m-1 K-1, and the hydraulic diameter is 0.761 98 ethPDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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