GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 57 of 65

Marks: +1, -0

A cast iron pipe of diameter

600 {mm}

and length

400 {m}

carries water from a tank and discharges freely into air at a point

4.5 {m}

below the water surface in the tank. The friction factor of the pipe is

0.018

. Consider acceleration due to gravity as

9.81 {m} {/} {s}^{2}

. The velocity of the flow in pipe (in

{m} {/} {s}

, round off to two decimal places) is

Solution:

{h}_{ {f}}=4.5 {m}=

frictional loss

+

entry loss

+

exit loss

{h}_{ {f}}=\;{ {flV}^{2}}/{2 {gD}}+\;{0.5 {V}^{2}}/{2 g}+\;{V^{2}}/{2 g}

4.5=\;{0.018 × 400 × {V}^{2}}/{2 × 9.81 × 0.6}+\;{0.5 {V}^{2}}/{2 g}+\;{V^{2}}/{2 g} ⇒ V=2.56 {m} {/} {s}

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