Calculate the head loss due to friction using Darcy formula when water flows through a pipe of 100 mm in diameter and 50 m long with velocity of 2 m/s. Assume f = 0.005 and g = 10 m/s2.

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SSC JE Mechanical 4 Dec 2023 Official Paper - II
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Explanation:

Darcy-Weisbach Equation

\(h_{f}={fLv^2\over 2gD}\)

Where L = length of pipe 

D = Diameter of pipe

v = Mean velocity of flow

f = Friction factor 

\(h_{f}\) = Head loss due to friction

Calculation:

Given data:

Pipe diameter (D) = 100 mm

Length (L) = 50 m

The velocity of flow (v) = 2 m/s

Friction factor (f) = 0.005 × 4 

Head loss due to friction (hf) =?

\(h_{f}={0.005× 4 ×50× 2^2\over 2× 10× 0.1}\) = 2 m

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