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- 1 -
of
5
1
1
2
2
1
2
10
from a mass balance on Tank 1
4
2
from a mass balance on Tank 2
i
dh
q
h
h
dt
dh
h
h
dt
=
−
+
=
−
(
)
1
2
1
1
2
2
2
2
= flow from tank 1 to tank 2
= flow through
valve
h
h
q
R
h
q
R
R
−
=
=
Interacting Tanks – Block Diagrams
CHE 361
Chapter 6, page 103 = Classical interacting states example = two tanks where flow
between tanks depends on both heights. A non-classical example is the CHE 361
Bioreactor project, which also has two states.
Review = Cha. 4 pgs 6 1-65 starting with Transfer Functions of Complicated
Models. Fig. 4.1 = “additive”, Fig. 4.2 = “multiplicative” relationships for transfer
functions Figs 4.3/4.4 for two liquid surge tanks in series.
Here we look at a quantitative example of the interacting tank problem. Let the
area of tank 1 (
A
1
) be 10 m
2
and the area for tank 2 (
A
2
) be 4 m
2
and assume
constant density for the liquid. Also let

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