A pipeline conveys 8.23 litre per second of water from an overhead ta...
The height H of the overhead tank above the building can be determined from the conditions with a single pipe.
d = 0.15 m
l = 2 km
f = 0.03
In the new plan as shown in figure hf = 4.53 = hfAB + hfBC ⋯ ① again,
In this case, Q = 1.3 × 0.00833 = 0.0108 m3/s Then, from equation ③, we get
Q12 = 0.00014 − (0.0108)2
which gives Q1 = 0.0048 m3/s From continuity,
Q2 = 0.0108 − 0.0048
= 0.006 m3/s
From equation ②, we have
?2 = 0.1?? ?
It can be observed from equation ③ that
Q12 = 0.00014 − Q2
or Q2 = 0.00014 − Q21
Now, Q will be maximum when Q1 will be minimum. For a physically possible situation, the minimum value of Q1 will be zero. Therefore, the maximum value of Q will be
Qmax = √0.00014 = 0.0118 m3/s which is 41.6% more than the initial value. The case (Q1 = 0, Q = 0.0118 m3/s) corresponds to a situation of an infinitely large branched pipe, i.e. d2 → ∞.