C. Water flows through a pipe system shown in the Figure 2b below. Pipe AB of diameter d1 = 50 mm, which is in series with a pipe BC of diameter d2 = 75 mm in which the mean velocity v2 = 2 m/s. At C the pipe forks and one branch CD is of diameter d3 such that the mean velocity v3 is 1.5 m/s. The other branch CE is = 30 mm and the conditions are such that the discharge Q2 from of diameter d4 BC divides so that Q4 = ½ Q3. Analyse the values of the discharge rate Q (Q2,Q3 and Q4), the mean velocity v (v1 and v4) and the pipe diameter CD.(d3) Determine: i. the discharge rate and velocities through section AB,CD and CE respectively and Tks) ii. the pipe diameter through section CD E Figure 2b: Pipe System B.

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C.
Water flows through a pipe system shown in the Figure 2b below. Pipe AB of
diameter d1 = 50 mm, which is in series with a pipe BC of diameter d2 = 75 mm
in which the mean velocity v2 = 2 m/s. At C the pipe forks and one branch CD is
of diameter d3 such that the mean velocity v3 is 1.5 m/s. The other branch CE is
of diameter d4
30 mm and the conditions are such that the discharge Q2 from
%3D
BC divides so that Q4 = ½ Q3. Analyse the values of the discharge rate Q
(Q2,Q3 and Q4), the mean velocity v (v1 and v4) and the pipe diameter CD.(d3)
Determine:
i.
the discharge rate and velocities through section AB,CD and CE respectively and
(12arks)
ii.
the pipe diameter through section CD
A
C
E
Figure 2b: Pipe System
Transcribed Image Text:C. Water flows through a pipe system shown in the Figure 2b below. Pipe AB of diameter d1 = 50 mm, which is in series with a pipe BC of diameter d2 = 75 mm in which the mean velocity v2 = 2 m/s. At C the pipe forks and one branch CD is of diameter d3 such that the mean velocity v3 is 1.5 m/s. The other branch CE is of diameter d4 30 mm and the conditions are such that the discharge Q2 from %3D BC divides so that Q4 = ½ Q3. Analyse the values of the discharge rate Q (Q2,Q3 and Q4), the mean velocity v (v1 and v4) and the pipe diameter CD.(d3) Determine: i. the discharge rate and velocities through section AB,CD and CE respectively and (12arks) ii. the pipe diameter through section CD A C E Figure 2b: Pipe System
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