given sieve$).$ The filtration rate

is $2\mathrm{.}7L{m}^{-2}{s}^{-1},$ and the water temperature is $10C.$ The filter depth is $0\mathrm{.}70m$ with a porosity of $0\mathrm{.}45,$ and

the sand grains have a particle shape factor of $0\mathrm{.}75\mathrm{.}0\mathrm{.}5m$ beneath the filter bed there is a flow controller

that an additional headloss of $1\mathrm{.}5m$ is initially induced. Calculate sand size for each fraction using the

geometric mean diameter.For the gravity

filter shown below, calculate

and plot the piezometric head

as a function of depth through

a clean filter from standing

head above the granular media

filter to the water surface in the

clear well $($i$.$e$.,$ a figure like

that developed in class$).$ You

can use the Carmen$-$Kozeny

equation to calculate the head

loss through a clean sand filter

with a gradation as given by

the sieve analysis below $($use

the corresponding geometric

mean diameter for each

fraction passing through a

given sieve$).$ The filtration rate

is $2\mathrm{.}7$ L m $-2$ s $-1,$ and the water temperature is $10\backslash$deg C$.$ The filter depth is $0\mathrm{.}70$ m with a porosity of $0\mathrm{.}45,$ and

the sand grains have a particle shape factor of $0\mathrm{.}75.0\mathrm{.}5$ m beneath the filter bed there is a flow controller

that an additional headloss of $1\mathrm{.}5$ m is initially induced. Calculate sand size for each fraction using the

geometric mean diameter.

Sieve Designation Number $121620304050$

Fraction of Sand Retained $00\mathrm{.}050\mathrm{.}220\mathrm{.}510\mathrm{.}200\mathrm{.}02$