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The uncertainties in equation (B.21) require further analysis and the necessary calculations will now be discussed. The uncertainty in the fuel mass flow rate is: mfuel m t test 6.000103 s m 2 m 2 m 2 u u fuel u fuel u fuel mfuel mfuel,st m mfuel,end m ttest t (B.32) (B.33) (B.34) (B.35) fuel,st The partial derivatives are: mfuel 1 1 fuel,end test 1.667104 s1 1.667104 s1 m t fuel,st test 6.000103 s 1 1 fuel,end mfuel mfuel,st mfuel,end 22.12kg19.08kg 8.444108 kgs2 tt2 2 test test 6.000103 s Using these three equations and the systematic uncertainties from Table 4-1, the uncertainty for the fuel mass flow calculation is 0.28 g min-1, or 0.93%. The air mass flow was measured using an orifice flow meter and the calculation method put forth by the American Gas Association [67]. The method of calculation is derived from the principles of conservation equations, fluid dynamics, and various state equations. The result is the following set of expressions: mNCEYd2 ρΔP air 1dv t,p (B.36) (B.37) (B.38) (B.39) (B.40) (B.41) N1 1.11072 106 β 0.7 Cd Ci FT0.000511 0.02100.0049β4C ReD Ci FTCi CTTapTerm C CT0.59610.0291β2 0.2290β8 0.0031βM i1 T apT erm Upstrm Dnstrm 204PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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