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Calculate the area of a trickling filter according the Eckenfelder equation in $(m^2)$.
Trickling filter scheme (Source: Wikipedia)
\begin{equation}
Se = \left( \frac{Sf + r \times Se}{1+ r} \right)\times e^{-\left(\frac{h \times k \times 1.035^{\left( T - 20\right)}}{\left(\frac{Q \times 60}{A}\right)^n} \right)}
\end{equation}
Writing the Eckenfelder equation on A
\begin{equation}
A = \frac{Q \times 60.0}{\left( \frac{ h \times k \times 1.035^\left(T-20 \right)}{\ln{\left( \frac{Se}{\frac{Sf + r \times Se}{ 1 + r }}\right)}}\right)^{\frac{1}{n}}}
\end{equation}
More information about trickling filters please see Wikipedia.
Calculate the area of a trickling filter according the Eckenfelder equation in $(m^2)$.
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| Trickling filter scheme (Source: Wikipedia) |
\begin{equation}
Se = \left( \frac{Sf + r \times Se}{1+ r} \right)\times e^{-\left(\frac{h \times k \times 1.035^{\left( T - 20\right)}}{\left(\frac{Q \times 60}{A}\right)^n} \right)}
\end{equation}
Writing the Eckenfelder equation on A
\begin{equation}
A = \frac{Q \times 60.0}{\left( \frac{ h \times k \times 1.035^\left(T-20 \right)}{\ln{\left( \frac{Se}{\frac{Sf + r \times Se}{ 1 + r }}\right)}}\right)^{\frac{1}{n}}}
\end{equation}
Module: Bioreactor
Function:
BIO_eckenfelder_area(sf,se,r, k, t, n, q, h)
Definition of variables:
sf, upstream concentration of BOD in the waste-water - mg/l; - m3/sse, end concentration of BOD treated waste-water - mg/l;r, recirculation factor;k, factor (domestic watewater ~ 0.02);t, temperature of water - oC;n, factor (domestic wastewater ~ 0.5);q, flow - m3/s;h, heigh of the trickling filter, m.
Sample code:
from Bioreactor import *
sf = 338 #(mg/l)
se = 34 #(mg/l)
q= 600.0 # (m3/day)
h= 2.5 #(m)
r= 3.0
k= 0.02
t= 15. #(oC)
n= 0.5
q = q/86400
area = BIO_eckenfelder_area(sf,se,r, k, t, n, q, h)
print ("area", area,"m2")
Result:
area: 324.09856032 m2