SLIDE 33 Pellet-Scale Steady-State Model
33
Boundary Conditions:
1 1
1
s s
p j p r p n r p p p p V j s k jk j j f f k n r p p p p p p p r j f j f j p r j j p r
n Q T for r P R v n x c v h T T Q x c C v T for r r x x P P
Pellet-scale model equations.
Constitutive laws Continuity Equation:
1 1
1
s R
n n p p p p p A f f v s k jk j k
c v R v
Component mass conservation:
1
1
R
n p p p p p p p p A j f f A j v s k jk k
x c v n R v
Energy conservation:
, 1 1
1
s R
n n p p p p p p p p p A j f j f v s R k k j k
x c C v T T H R
1 , 1 1
1 1
s s s
N j j i i O i j i N eff eff eff N eff j f ij ij iK iK j i p j i j i
c c N c B P N N c P D D D D c c RT
DGM (Dusty Gas Model):
5 2 1 1 1 1 1 5 5 5 5 5 1 12 13 14 15 1 1 1 1 1 5 1 2 2 2 5 5 2 21 1 1 1 2 3 4 5
1 1
i eff i i eff eff eff eff eff K j j j j j j j j j j i eff i i i eff eff K j j j j
c D c c c c D c D c D c D c D c c D c D D c c N N N N N
2 2 2 5 5 5 23 24 25 1 1 1 5 1 3 3 3 3 3 3 5 5 5 5 5 3 31 32 34 35 1 1 1 1 1 4 4 5 41 42 1
1
eff eff eff j j j j j j i eff i i i eff eff eff eff eff K j j j j j j j j j j eff eff j j j
c c c D c D c D c c D c c c c D D c D c c D c D c c c D c D c
5 1 4 4 4 4 5 5 5 5 4 43 45 1 1 1 1 5 1 5 5 5 5 5 5 5 5 5 5 5 5 51 52 53 54 1 1 1 1 1
1 1
i eff i i i eff eff eff K j j j j j j j i eff i i i eff eff eff eff eff K j j j j j j j j j j
c D c c D D c c D c c D c c c c D D c D c D c D c c
1 1 1 1 2 2 2 1 3 3 3 1
1 1 1
s s s
O N eff K f j j O N eff K f j j O N eff K f j j
B c P c P D c RT B c P c P D c RT c B P c P D c RT
4 4 1 5 5 5 1
1 1
s s
O N eff iK f j j O N eff K f j j
B c P c P D c RT c B P c P D c RT
x