Final Efficiency after Two Stage Filtration Calculator

✖Efficiency of first filter stage calculates the efficiency of the filter at the first stage.ⓘ Efficiency of First Filter Stage [E₁]			+10% -10%
✖BOD in effluent means total BOD in effluent from 1st stage.ⓘ BOD in effluent [Y_']			+10% -10%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%
✖Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.ⓘ Recirculation factor [F]			+10% -10%

✖Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.ⓘ Final Efficiency after Two Stage Filtration [E₂]

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Formula

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Final Efficiency after Two Stage Filtration

Formula

`"E"_{"2"} = (100/(1+(0.0044/(1-"E"_{"1"}))*sqrt("Y"_{"'"}/("V"_{"T"}*"F"))))`

Example

`"100"=(100/(1+(0.0044/(1-"100"))*sqrt("3kg/d"/("0.63m³"*"0.5"))))`

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Final Efficiency after Two Stage Filtration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in effluent/(Volume*Recirculation factor))))
E₂ = (100/(1+(0.0044/(1-E₁))*sqrt(Y_'/(V_T*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 in effluent - (Measured in Kilogram per Second) - BOD in effluent means total BOD in effluent from 1st stage.
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 in effluent: 3 Kilogram per Day --> 3.47222222222222E-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+(0.0044/(1-E₁))*sqrt(Y_'/(V_T*F)))) --> (100/(1+(0.0044/(1-100))*sqrt(3.47222222222222E-05/(0.63*0.5))))

Evaluating ... ...

E₂ = 100.000046662302

STEP 3: Convert Result to Output's Unit

100.000046662302 --> No Conversion Required

FINAL ANSWER

100.000046662302 ≈ 100 <-- Efficiency of Second Filter Stage

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 12 Efficiency of High Rate Filters Calculators

Initial Efficiency given Final Efficiency after Two Stage Filtration

Go Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in effluent/(Volume*Recirculation factor)))/((100/Efficiency of Second Filter Stage)-1))

Final Efficiency after Two Stage Filtration

Go Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in effluent/(Volume*Recirculation factor))))

Recirculation Factor given Volume of Raw Sewage

Go Recirculation factor = (1+(Volume of recirculated sewage/Volume of Raw Sewage))/(1+0.1*(Volume of recirculated sewage/Volume of Raw Sewage))^2

Filter Volume given Volume of Raw Sewage

Go Volumetric Flow Rate = (Total Organic Load*Volume of Raw Sewage)/(Volume of recirculated sewage*Organic loading)

Efficiency of Single Stage High Rate Trickling Filter

Go Efficiency of First Filter Stage = (100/(1+0.0044*sqrt(Total Organic Load/(Volume*Recirculation factor))))

Unit Organic Loading on Filter

Go Organic loading = (Total Organic Load/(Volume*Recirculation factor))

Recirculation Factor given Recirculation ratio

Go Recirculation factor = (1+Recirculation Ratio)/(1+0.1*Recirculation Ratio)^2

Efficiency of Single Stage High Rate Trickling Filter given Unit Organic Loading

Go Efficiency of First Filter Stage = (100/(1+0.0044*sqrt(Organic loading)))

Volume of Recirculated Sewage given Recirculation ratio

Go Volume of recirculated sewage = Recirculation Ratio*Volume of Raw Sewage

Recirculation Ratio given Volume of Raw Sewage

Go Recirculation Ratio = Volume of recirculated sewage/Volume of Raw Sewage

Volume of Raw Sewage given Recirculation ratio

Go Volume of Raw Sewage = Volume of recirculated sewage/Recirculation Ratio

Unit Organic Loading using Efficiency of Filter

Go Organic loading = (((100/Efficiency of First Stage Filter)-1)/0.0044)^2

Final Efficiency after Two Stage Filtration Formula

Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in effluent/(Volume*Recirculation factor))))
E₂ = (100/(1+(0.0044/(1-E₁))*sqrt(Y_'/(V_T*F))))

What is filtration efficiency ?

Filtration efficiency is usually stated in terms of the percentage of particles of a certain size that would be stopped and retained by a filter medium.

How to Calculate Final Efficiency after Two Stage Filtration?

Final Efficiency after Two Stage Filtration calculator uses Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in effluent/(Volume*Recirculation factor)))) to calculate the Efficiency of Second Filter Stage, The Final Efficiency after Two Stage Filtration calculates the final efficiency after the second stage when we have prior information of other parameters. Efficiency of Second Filter Stage is denoted by E₂ symbol.

How to calculate Final Efficiency after Two Stage Filtration using this online calculator? To use this online calculator for Final Efficiency after Two Stage Filtration, enter Efficiency of First Filter Stage (E₁), BOD in effluent (Y_'), Volume (V_T) & Recirculation factor (F) and hit the calculate button. Here is how the Final Efficiency after Two Stage Filtration calculation can be explained with given input values -> 100 = (100/(1+(0.0044/(1-100))*sqrt(3.47222222222222E-05/(0.63*0.5)))).

FAQ

What is Final Efficiency after Two Stage Filtration?

The Final Efficiency after Two Stage Filtration calculates the final efficiency after the second stage when we have prior information of other parameters and is represented as E₂ = (100/(1+(0.0044/(1-E₁))*sqrt(Y_'/(V_T*F)))) or Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in effluent/(Volume*Recirculation factor)))). Efficiency of first filter stage calculates the efficiency of the filter at the first stage, BOD in effluent means total BOD in effluent from 1st stage, 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 Final Efficiency after Two Stage Filtration?

The Final Efficiency after Two Stage Filtration calculates the final efficiency after the second stage when we have prior information of other parameters is calculated using Efficiency of Second Filter Stage = (100/(1+(0.0044/(1-Efficiency of First Filter Stage))*sqrt(BOD in effluent/(Volume*Recirculation factor)))). To calculate Final Efficiency after Two Stage Filtration, you need Efficiency of First Filter Stage (E₁), BOD in effluent (Y_'), Volume (V_T) & Recirculation factor (F). With our tool, you need to enter the respective value for Efficiency of First Filter Stage, BOD in effluent, Volume & Recirculation factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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