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Transcript
Appendix B
Sensitivity Functions
This section provides details of the sensitivity functions used in the formulation shown
in chapter 3. The flux sensitivities are shown first followed by the boundary condition
sensitivities. The flux definitions are reproduced here for reference.
(B.1)
F =
FDC
Ph-=
+ ppE
F(Qh, ith) - 7
a - inh)n,
(B.2)
The 2 x 2 matrices shown on the RHS in (B.3) are the derivatives of the components
of F with respect to component
Q(ij).
This convention is used for all sensitivities
shown here.
1
0
Ap 0
OF
SQ (11)
0
1
OF
9Q (12)
0
AP
OF
0
0
)
OQ (21
DF
D 0
_OQ(22)_
0
0
0 D
81
(B.3)