Page 171 - Distillation theory

P1: JPJ/FFX P2: FCH/FFX QC: FCH/FFX T1: FCH
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5.5 Trajectory Bundles for Four- and Multicomponent Mixtures 145

2

a) α 23

1 4
α 13 3,4 2,4
t
t
α 23 α 13 Figure 5.27. Tear-off regions Reg , Reg ,
r
r
1,3 4 1 1,2 1,3
t
t
t
13 Reg , Reg , and Reg (a) and possible prod-
s
s
r
2,4 1,2,3 2,3,4
3 3,4 2,4 1,3 4
uct regions Reg , Reg , Reg , Reg and
D D B D
1,2 1,3 2,4 1,2,3
1
2 Reg B (b) for the acetone(1)-benzene(2)-
2,3,4
chloroform(3)-toluene(4) mixture on the
b)
edges and faces (dotty for top section and
shaded for bottom section) of concentration
tetrahedron.
1 4
13
3

ijk
correspondingly component-order segments Reg at the edges of concentration
ord
ijk
tetrahedron and component-order regions Reg inside it. Trajectory tear-off seg-
ord
3,4 2,4 1,3 4 1
t
t
t
t
t
ments and regions Reg , Reg , Reg , Reg , and Reg at the edges and faces of
r r s r s
1,2 1,3 2,4 1,2,3 2,3,4
concentration tetrahedron, shown in Fig. 5.27a, correspond to these component-
order segments and regions. Let’s find now possible product segments and regions
3,4 2,4 1,3 4 1
Reg , Reg , Reg , Reg , and Reg (Fig. 5.27b) at the edges and faces of concen-
D D B D B
1,2 1,3 2,4 1,2,3 2,3,4 j
(2)
tration tetrahedron. The segment at the edge is possible product segment Reg D
j i
(2) (2) (2)
or Reg , if it is reversible distillation product segment Reg or Reg in two
B rev,D rev,B
i
faces, adjacent with the edge under consideration. It is seen from Fig. 5.27 that
3,4 2,4
(2) (2)
there are possible overhead segments Reg and Reg only at edges 1-2 and 1-3
D D
1,3 1,2 1,3 j
(2) (3)
and that of bottom segment Reg are at edge 2-4. Possible product regions Reg
B D
2,4 i