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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. A fire protection system is supplied from a water tower with a bent pipe as shown in the figure. The pipe friction f is 0.03. Ignoring all minor losses, the maximum discharge, Q in the pipe is

    1. 31.7 lit/sec
    2. 24.0 lit/sec
    3. 15.9 lit/sec
    4. 12.0 lit/sec
Correct Option: B

Apply Bernoulis equation

P1
+ z1 +
V12
=
P2
+ z2 +
V22
+ h2
ρg2gρg2g

0 + 25 + 0 = 0 +
V22
+ h2
2g

25 =
V22
+
flV22
2g2gd

⇒ 25 =
V22
+
0.03 × 175 × V22
2 × 9.812 × 9.81 × 0.1

∴ V2 = 3.028 m / s
Q = AV
=
π
× 0.12 × 3.028
9

= 0.024 m2 / s = 241 /s



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