Initial Efficiency given Final Efficiency after Two Stage Filtration Calculator

✖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.ⓘ Efficiency of Second Filter Stage [E₂]			+10% -10%

✖Efficiency of first filter stage calculates the efficiency of the filter at the first stage.ⓘ Initial Efficiency given Final Efficiency after Two Stage Filtration [E₁]

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Initial Efficiency given Final Efficiency after Two Stage Filtration

Formula

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

Example

`"0.995427"=(1-(0.0044*sqrt("3kg/d"/("0.63m³"*"0.5")))/((100/"99")-1))`

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Initial Efficiency given Final Efficiency after Two Stage Filtration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in effluent/(Volume*Recirculation factor)))/((100/Efficiency of Second Filter Stage)-1))
E₁ = (1-(0.0044*sqrt(Y_'/(V_T*F)))/((100/E₂)-1))
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 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.
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 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
Efficiency of Second Filter Stage: 99 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E₁ = (1-(0.0044*sqrt(Y_'/(V_T*F)))/((100/E₂)-1)) --> (1-(0.0044*sqrt(3.47222222222222E-05/(0.63*0.5)))/((100/99)-1))

Evaluating ... ...

E₁ = 0.995426629876588

STEP 3: Convert Result to Output's Unit

0.995426629876588 --> No Conversion Required

FINAL ANSWER

0.995426629876588 ≈ 0.995427 <-- Efficiency of First 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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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

Initial Efficiency given Final Efficiency after Two Stage Filtration Formula

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

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 Initial Efficiency given Final Efficiency after Two Stage Filtration?

Initial Efficiency given Final Efficiency after Two Stage Filtration calculator uses Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in effluent/(Volume*Recirculation factor)))/((100/Efficiency of Second Filter Stage)-1)) to calculate the Efficiency of First Filter Stage, Initial Efficiency given Final Efficiency after Two Stage Filtration calculates initial efficiency of filter in first stage when we have prior information of other parameters. Efficiency of First Filter Stage is denoted by E₁ symbol.

How to calculate Initial Efficiency given Final Efficiency after Two Stage Filtration using this online calculator? To use this online calculator for Initial Efficiency given Final Efficiency after Two Stage Filtration, enter BOD in effluent (Y_'), Volume (V_T), Recirculation factor (F) & Efficiency of Second Filter Stage (E₂) and hit the calculate button. Here is how the Initial Efficiency given Final Efficiency after Two Stage Filtration calculation can be explained with given input values -> 0.995427 = (1-(0.0044*sqrt(3.47222222222222E-05/(0.63*0.5)))/((100/99)-1)).

FAQ

What is Initial Efficiency given Final Efficiency after Two Stage Filtration?

Initial Efficiency given Final Efficiency after Two Stage Filtration calculates initial efficiency of filter in first stage when we have prior information of other parameters and is represented as E₁ = (1-(0.0044*sqrt(Y_'/(V_T*F)))/((100/E₂)-1)) or Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in effluent/(Volume*Recirculation factor)))/((100/Efficiency of Second Filter Stage)-1)). 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 & Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.

How to calculate Initial Efficiency given Final Efficiency after Two Stage Filtration?

Initial Efficiency given Final Efficiency after Two Stage Filtration calculates initial efficiency of filter in first stage when we have prior information of other parameters is calculated using Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in effluent/(Volume*Recirculation factor)))/((100/Efficiency of Second Filter Stage)-1)). To calculate Initial Efficiency given Final Efficiency after Two Stage Filtration, you need BOD in effluent (Y_'), Volume (V_T), Recirculation factor (F) & Efficiency of Second Filter Stage (E₂). With our tool, you need to enter the respective value for BOD in effluent, Volume, Recirculation factor & 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 Efficiency of First Filter Stage?

In this formula, Efficiency of First Filter Stage uses BOD in effluent, Volume, Recirculation factor & Efficiency of Second Filter Stage. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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