At the end of a filtration cycle, a total volume of
4.50m^(3)
is collected in a total time of
272.6s
. The cake is to be washed through washing in the plate-and-frame press using a volume of wash water equal to
10%
of the filtrate volume. From the filtration data intercept
B=16.50(s)/(m^(3))
and
K_(p)=38.82(s)/(m^(6))
Calculate 6.1 The time of washing 6.2 The total filter cycle time if cleaning the filter takes 20 minutes. For the filter the filtration rate is
((dV)/(dt))_(f)=(1)/(4)(1)/((K_(p))(V_(f))+B)
(in a plate and frame press, the flow of wash water is one quarter of the filtration rate.) 6.3 Aqueous slurry of
CaCO_(3)
is to be filtered in a rotary drum filter with
25%
submergence of area is covered by slurry). The available pressure drop is
75kPa
and the cycle time is 6 minutes. The slurry contains
240kg
solids per cubic meters of slurry and density of solids is
2850k(g)/(m^(3))
. The filter cake contains
45%
moisture on wet basis and the specific cake resistance is
1.23\times 10^(11)(m)/(k)g
. Calculate the filter area required to fijter 40 litres/minute. The resistance of the filter medium maybe neglected. Take
\mu _(slury )=0.001k(g)/(m),s
The expression for the area in terms of filtrate flow rate
(V_(f))/(\theta _(c))
is given below
A=((V_(f))/(\theta _(c)))*\sqrt(((s\rho \mu \alpha _(ave)\theta _(c))/(2Pk_(f)(1-ms))))
Where
\theta _(c)
is the cycie time and
k_(f)
is the fractional submergence