Table 5. Assigned values for nodes of example in Figure 14.
Node
Elevation
Maximum demand
number
Node type
(m)
(kg/s)
1
heat consumer
40
10
2
heat consumer
30
10
3
heat consumer
20
10
4
heat consumer
10
10
5
pipe junction
0
--
6
pipe junction
0
--
7
pipe junction
0
--
8
0
40
Now we proceed to find the optimal pipe diameters for our example system of
Figure 14. As we found in the last chapter, a convenient starting point is what we will
call the "optimal independent design." This is the design that we would arrive at if
we use the procedure developed in Chapters 2 and 3 for each pipe segment as if it
were independent of the others and its design were unconstrained by the system
constraints identified in Chapter 4. We will make use of all of the assumptions for
parameter values and operating strategy that we used in the examples of Chapters
2 and 3. For clarity these are repeated below:
Am&r = 2%/yr
Aη = 0.90 (dimensionless)
A1 = 60/pump
A3 = 8
A4 = 80/m
A13 = 1.0 (dimensionless)
A14 = 0.575 (dimensionless)
A15 = 0.425 (dimensionless)
Tm = 6.4C
ki = 0.030 W/m C
ks = 1.3 W/m C
Hp = 1.0 m
xi = 0.050 m
Table 6. Assigned values for the
pipe segments in the example of
Figure 14.
Elevation Maximum
Pipe
Length
change
flow
segment
(m)
(m)
(kg/s)
6,1
100
40
10
7,2
25
30
10
7,3
50
20
10
5,4
100
10
10
6,7
50
0
20
5,6
100
0
30
8,5
200
0
40
63