Efficiency of Second Filter Stage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
E2 = 100/(1+((0.0561/(1-E1))*sqrt(W'/(VT*F))))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Efficiency of Second Filter Stage - Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.
Efficiency of First Filter Stage - Efficiency of first filter stage calculates the efficiency of the filter at the first stage.
BOD Loading to Filter 2 - (Measured in Kilogram per Second) - BOD loading to filter 2 is the total BOD present in the incoming sewage in filter 2.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
Recirculation factor - Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.
STEP 1: Convert Input(s) to Base Unit
Efficiency of First Filter Stage: 100 --> No Conversion Required
BOD Loading to Filter 2: 2.4 Kilogram per Day --> 2.77777777777778E-05 Kilogram per Second (Check conversion here)
Volume: 0.63 Cubic Meter --> 0.63 Cubic Meter No Conversion Required
Recirculation factor: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E2 = 100/(1+((0.0561/(1-E1))*sqrt(W'/(VT*F)))) --> 100/(1+((0.0561/(1-100))*sqrt(2.77777777777778E-05/(0.63*0.5))))
Evaluating ... ...
E2 = 100.000532136992
STEP 3: Convert Result to Output's Unit
100.000532136992 --> No Conversion Required
FINAL ANSWER
100.000532136992 100.0005 <-- Efficiency of Second Filter Stage
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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7 Efficiency of Filter Calculators

Efficiency of Second Filter Stage
Go Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
Efficiency of First Filter Stage using Efficiency of Second Filter Stage
Go Efficiency of First Filter Stage = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))
Efficiency of First Filter Stage
Go Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
Efficiency of First Filter Stage given Overall Efficiency
Go Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage)
Efficiency of Second Filter Stage given Overall Efficiency
Go Efficiency of Second Filter Stage = (Overall efficiency TF-Efficiency of First Filter Stage)/(1-Efficiency of First Filter Stage)
Efficiency of First Filter given BOD Loading for Second Filter
Go Efficiency of First Filter Stage = 1-(BOD5 loading to the second stage filter/BOD Loading to Filter 2)
Overall Efficiency of Two Stage Trickling Filter
Go Overall efficiency TF = (Influent BOD-Effluent BOD/Influent BOD)*100

Efficiency of Second Filter Stage Formula

Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
E2 = 100/(1+((0.0561/(1-E1))*sqrt(W'/(VT*F))))

What is filter stage?

Single-stage unit consists of a primary settling tank, filter, secondary settling tank, and facilities for recirculation of the effluent. Two-stage filters consist of two filters in series with a primary settling tank, an intermediate settling tank which may be omitted in certain cases, and a final settling tank.

How to Calculate Efficiency of Second Filter Stage?

Efficiency of Second Filter Stage calculator uses Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))) to calculate the Efficiency of Second Filter Stage, The Efficiency of second filter stage is the capacity of the second filter to remove the waste from wastewater. Efficiency of Second Filter Stage is denoted by E2 symbol.

How to calculate Efficiency of Second Filter Stage using this online calculator? To use this online calculator for Efficiency of Second Filter Stage, enter Efficiency of First Filter Stage (E1), BOD Loading to Filter 2 (W'), Volume (VT) & Recirculation factor (F) and hit the calculate button. Here is how the Efficiency of Second Filter Stage calculation can be explained with given input values -> 100.0005 = 100/(1+((0.0561/(1-100))*sqrt(2.77777777777778E-05/(0.63*0.5)))).

FAQ

What is Efficiency of Second Filter Stage?
The Efficiency of second filter stage is the capacity of the second filter to remove the waste from wastewater and is represented as E2 = 100/(1+((0.0561/(1-E1))*sqrt(W'/(VT*F)))) or Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))). Efficiency of first filter stage calculates the efficiency of the filter at the first stage, BOD loading to filter 2 is the total BOD present in the incoming sewage in filter 2, Volume is the amount of space that a substance or object occupies or that is enclosed within a container & Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.
How to calculate Efficiency of Second Filter Stage?
The Efficiency of second filter stage is the capacity of the second filter to remove the waste from wastewater is calculated using Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))). To calculate Efficiency of Second Filter Stage, you need Efficiency of First Filter Stage (E1), BOD Loading to Filter 2 (W'), Volume (VT) & Recirculation factor (F). With our tool, you need to enter the respective value for Efficiency of First Filter Stage, BOD Loading to Filter 2, Volume & Recirculation factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Efficiency of Second Filter Stage?
In this formula, Efficiency of Second Filter Stage uses Efficiency of First Filter Stage, BOD Loading to Filter 2, Volume & Recirculation factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Efficiency of Second Filter Stage = (Overall efficiency TF-Efficiency of First Filter Stage)/(1-Efficiency of First Filter Stage)
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