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Fortunately, the AGA document provides a method for the estimation of uncertainty in the calculation of mass flow when using the above method. The following equation is used to provide the uncertainty of the mass flow rate of the intake air: (B.57) 4 ΔP The uncertainty in the discharge coefficient term is found by estimating the uncertainty at an infinite Reynolds number and then applying a correction factor. The equations are: uCd, 0.5600 0.2550 β 1.9316 β 8 (B.58) (B.59) The product of the results from equations (B.58) and (B.59) gives the first term for equation (B.57) . From the orifice and pipe diameters given in Table B-1, beta is found to be 0.49. The uncertainty for the discharge coefficient at infinite Reynolds number is therefore 0.44%. The Reynolds number is: u uC 2 u2 2 2u2 0.5 d Y d 1β4d m air Cd Y mair 2β4 2u 2 1uρ 2 1 u 2 4 D ΔP t,p Re 4mair 40.0149kgs1 23,300 (B.60) 3.14159 1.972105 Pas 0.04127m 1 β D 4 ρ t,p Cd C u d,corr 1 1.7895 4000 0.8 ReD D πμD Therefore, equation (B.59) gives a correction factor of 1.437. The product of the two values results in a discharge coefficient uncertainty of 0.63%. The relative uncertainty of the expansion factor is 0.5%. The uncertainties for the orifice and pipe diameters were found from the collection of measurements taken as shown in Table B-1. The measurement uncertainty was taken to be the root mean square of the precision and bias values listed in the table. The precision is the product of the standard deviation and the t-stat. The bias value represents the systematic error of the measuring 206PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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