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. 2013 Oct 24;13(11):14367–14397. doi: 10.3390/s131114367

Table 12.

Uncertainty budget − Traditional method − d = 0.5 kg/m3.

Uncertainty budget-Traditional Method

Ci Std. Unc. Contrib. (kg/m3) Variance (kg2/m3) %
δρx/δρL= 1.333875213 1.06E–02 0.0142 2.011E–04 0.70
δρx/δρa1= −0.333877216
δρx/δma= −5523.532137
δρx/δmL= 22039.93249
δρx/δtL= 0.01015011 0.01 0.0001 1.030E–08 0.00
δρx/δta= 2.19729E–05 0.2 0.0000 1.931E–11 0.00
δρx/δγL= −37.16576354 1.05E–03 −0.0390 1.523E–03 5.31
δρx/δd= −1 0.144337567 −0.1443 2.083E–02 72.70
δma/δmp1= 0.99987947 3.35E–08 −0.0002 3.423E–08 0.00
δma/δρa1= −0.000007858 0.00077029 −0.0003 6.614E–08 0.00
δma/δρp1= 9.47E–10 78.90 −0.0004 1.704E–07 0.00
δma/δΔm1= 1 1.47573E–07 −0.0008 6.644E–07 0.00
δma/δd= −1 2.88675E–08 0.0002 2.542E–08 0.00
δmL/δmp2= 0.999880825 4.50E–08 0.0010 9.843E–07 0.04
δmL/δρa2= −0.000001881 0.000769758 0.0000 1.018E–09 0.00
δmL/δρp2= 2.24168E–10 79.74 0.0004 1.552E–07 0.00
δmL/δΔm2= 1 3.54287E–06 0.0781 6.097E–03 21.28
δmL/δd= −1 2.88675E–08 −0.0006 4.048E–07 0.00
δmliq/δCg= 1
δCg/δΔh= −4.73272E–09 0.01 0.0000 1.088E–12 0.00
Unc. (k=2) 0.339 kg/m3