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Table B-1. Measurement and uncertainty data for orifice and pipe diameters. Parameter Orifice Pipe Average Diameter [m] 0.020264 0.041266 N 5 10 Bias of Standard [m] 0.0000635 0.0000254 t-stat 2.7764 2.2622 Standard Deviation [m] 6.4758x10-6 6.1115x10-5 Precision [m] 1.798x10-5 1.383x10-4 Uncertainty [m] 6.5996x10-5 1.4057x10-4 Uncertainty [%] 0.33 0.34 instruments, namely the calibrated calipers used to measure the ID of the orifice and pipe. The air density was calculated from the measured temperature and absolute pressure of the intake air using the ideal gas equation. The combined uncertainty for the air density is: The partial derivatives are: ρt,s P 1 T R 1 307.494K0.287kJkg1 K1 0.0113 kg kJ1 uρ ρ 2 ρ 2 t,p u t,p u t,p (B.61) (B.62) (B.63) ρ PPTT t,p abs abs air air abs air air ρt,p Tair The uncertainty in the enthalpy change for each gas was found by evaluating the applied fit of the data from the NIST-JANAF tables. The uncertainty in the JANAF data was assumed to be small compared to the uncertainty resulting from the applied fit. Therefore, the enthalpy change uncertainty is the precision of the curve fit: 84.396kPa 0.00311kgm3 K1 2 2 11 P abs TairRair 307.494K 0.287kJkg K The results from the two partial derivatives combined with the uncertainties from Table 3-4 result in a combined air density uncertainty of 2.56 g m-3, or 0.27%. The uncertainty for the differential pressure across the orifice is 0.14 kPa, as shown in Table 3-4, or 4.99%. Using equation (B.57), the combined uncertainty for the air mass flow calculation at the representative test point is 2.72%. 207PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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