F$\mathrm{.}1.$ Determine the head loss for a clean bed using the Carman$-$

Kozeny equation for a stratified bed with uniform porosity of

$0\mathrm{.}45.$ The filter is made up of $610$ mm deep sand

and shape factor $=0\mathrm{.}82).$ The filtration rate is $1\mathrm{.}70\frac{\frac{L}{s}}{m^2}$

and the viscosity of water is $1\mathrm{.}14{10}^{-6}\frac{m^2}{s}.$ Size

characteristics of the sand from a sieve test are below:

Sieve Number $\%$ of Sand Retained in Sieve $($X$)$ Particle diameter $[[$:${10}^{-4}(m)$