Water flows through a horizontal, smooth$-$walled pipe with an inner diameter of $15$ cm $.$ The flow rate is $0\mathrm{.}1\frac{m^3}{s},$ and the kinematic viscosity of water at the given conditions is $1{10}^{-6}\frac{m^2}{s}.$

Tasks:

Determine the Reynolds number for the flow.

Using the Moody chart, estimate the Darcy friction factor $($f$)$ for this flow.

If the pipe is $100m$ long, calculate the head loss due to friction.

Assume the pipe is smooth, meaning the relative roughness $(lo\frac{n}{D})$ is negligible.

$179$