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Unformatted text preview: between these rules and the rules for handling electric circuits is not coincidental.
Figure 6.24 shows three examples of multiple-pipe systems. The first is a set of three
(or more) pipes in series. Rule 1 is that the flow rate is the same in all pipes
1 or Q2 Q3 const 2
V2d 2 2
V3d 3 (6.105) Rule 2 is that the total head loss through the system equals the sum of the head loss
in each pipe
hA→B h1 h2 h3 (6.106) In terms of the friction and minor losses in each pipe, we could rewrite this as
8 | v v This section may be omitted without loss of continuity. | e-Text Main Menu | Textbook Table of Contents | Study Guide 376 Chapter 6 Viscous Flow in Ducts 3 2 1 B A
B A 3 (b)
z1 HGL zJ + pJ
ρg z3 HGL
2 Fig. 6.24 Examples of multiplepipe systems: (a) pipes in series;
(b) pipes in parallel; (c) the threereservoir junction problem. 3
(c) hA→B 2
V 1 f1L1
2g d1 K1 V 2 f3L3
2g d3 2
d2 K2 K3 (6.107) and so on for any number of pipes in the series. Since V2 and V3 are proportional to
V1 from Eq. (6.105), Eq. (6.107) is of the form
2g 0 1 f1 2 f2 3 f3) (6.108) where the i are dimensionless const...
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- Spring '08