Recirculation Factor given Efficiency of Second Filter Stage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Recirculation factor = (BOD Loading to Filter 2/Volume)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2
F = (W'/VT)*1/(((1-E1)/0.0561)*(100/E2-1))^2
This formula uses 5 Variables
Variables Used
Recirculation factor - Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.
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.
Efficiency of First Filter Stage - Efficiency of first filter stage calculates the efficiency of the filter at the first stage.
Efficiency of Second Filter Stage - Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.
STEP 1: Convert Input(s) to Base Unit
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
Efficiency of First Filter Stage: 100 --> No Conversion Required
Efficiency of Second Filter Stage: 99 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = (W'/VT)*1/(((1-E1)/0.0561)*(100/E2-1))^2 --> (2.77777777777778E-05/0.63)*1/(((1-100)/0.0561)*(100/99-1))^2
Evaluating ... ...
F = 1.38765873015871E-07
STEP 3: Convert Result to Output's Unit
1.38765873015871E-07 --> No Conversion Required
FINAL ANSWER
1.38765873015871E-07 1.4E-7 <-- Recirculation factor
(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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2 Recirculation Factor Calculators

Recirculation Factor given Efficiency of Second Filter Stage
Go Recirculation factor = (BOD Loading to Filter 2/Volume)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2
Recirculation Factor
Go Recirculation factor = (1+Recirculation Ratio)/((1+Recirculation Ratio/10)^2)

Recirculation Factor given Efficiency of Second Filter Stage Formula

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

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 Recirculation Factor given Efficiency of Second Filter Stage?

Recirculation Factor given Efficiency of Second Filter Stage calculator uses Recirculation factor = (BOD Loading to Filter 2/Volume)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2 to calculate the Recirculation factor, Recirculation Factor given Efficiency of Second Filter Stage is the ratio of recirculated flow to the total flow of raw sewage. The capacity of the pumps doing the recirculation of sewage is determined with this. Recirculation factor is denoted by F symbol.

How to calculate Recirculation Factor given Efficiency of Second Filter Stage using this online calculator? To use this online calculator for Recirculation Factor given Efficiency of Second Filter Stage, enter BOD Loading to Filter 2 (W'), Volume (VT), Efficiency of First Filter Stage (E1) & Efficiency of Second Filter Stage (E2) and hit the calculate button. Here is how the Recirculation Factor given Efficiency of Second Filter Stage calculation can be explained with given input values -> 1.4E-7 = (2.77777777777778E-05/0.63)*1/(((1-100)/0.0561)*(100/99-1))^2.

FAQ

What is Recirculation Factor given Efficiency of Second Filter Stage?
Recirculation Factor given Efficiency of Second Filter Stage is the ratio of recirculated flow to the total flow of raw sewage. The capacity of the pumps doing the recirculation of sewage is determined with this and is represented as F = (W'/VT)*1/(((1-E1)/0.0561)*(100/E2-1))^2 or Recirculation factor = (BOD Loading to Filter 2/Volume)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2. 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, Efficiency of first filter stage calculates the efficiency of the filter at the first stage & Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.
How to calculate Recirculation Factor given Efficiency of Second Filter Stage?
Recirculation Factor given Efficiency of Second Filter Stage is the ratio of recirculated flow to the total flow of raw sewage. The capacity of the pumps doing the recirculation of sewage is determined with this is calculated using Recirculation factor = (BOD Loading to Filter 2/Volume)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2. To calculate Recirculation Factor given Efficiency of Second Filter Stage, you need BOD Loading to Filter 2 (W'), Volume (VT), Efficiency of First Filter Stage (E1) & Efficiency of Second Filter Stage (E2). With our tool, you need to enter the respective value for BOD Loading to Filter 2, Volume, Efficiency of First Filter Stage & Efficiency of Second Filter Stage 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 Recirculation factor?
In this formula, Recirculation factor uses BOD Loading to Filter 2, Volume, Efficiency of First Filter Stage & Efficiency of Second Filter Stage. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Recirculation factor = (1+Recirculation Ratio)/((1+Recirculation Ratio/10)^2)
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