Efficiency of First Filter Stage using Efficiency of Second Filter Stage Calculator

✖Efficiency of Second Filter Stage is the total efficiency obtained from the second trickling filter.ⓘ Efficiency of Second Filter Stage [E₂]			+10% -10%
✖BOD Loading to Filter 2 refers to the total BOD present in the incoming sewage in filter 2.ⓘ BOD Loading to Filter 2 [W^']			+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 refers to the average number of passes of the influent organic matter through the trickling filter.ⓘ Recirculation Factor [F]			+10% -10%

✖Overall Efficiency refers to the total efficiency of the trickling filter. It is calculated in percentage.ⓘ Efficiency of First Filter Stage using Efficiency of Second Filter Stage [E]

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Formula

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Efficiency of First Filter Stage using Efficiency of Second Filter Stage

Formula

E = 1 + ((\frac{0.0561}{\frac{100}{E 2}} - 1) \cdot \sqrt{\frac{W'}{V T \cdot F}})

Example

0.866964 = 1 + ((\frac{0.0561}{\frac{100}{99}} - 1) \cdot \sqrt{\frac{2.4 kg/d}{0.0035 m³ \cdot 0.4}})

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Efficiency of First Filter Stage using Efficiency of Second Filter Stage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Overall Efficiency = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation Factor)))
E = 1+((0.0561/(100/E₂)-1)*sqrt(W^'/(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

Overall Efficiency - Overall Efficiency refers to the total efficiency of the trickling filter. It is calculated in percentage.
Efficiency of Second Filter Stage - Efficiency of Second Filter Stage is the total efficiency obtained from the second trickling filter.
BOD Loading to Filter 2 - (Measured in Kilogram per Second) - BOD Loading to Filter 2 refers to 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 refers to the average number of passes of the influent organic matter through the trickling filter.

STEP 1: Convert Input(s) to Base Unit

Efficiency of Second Filter Stage: 99 --> No Conversion Required
BOD Loading to Filter 2: 2.4 Kilogram per Day --> 2.77777777777778E-05 Kilogram per Second (Check conversion here)
Volume: 0.0035 Cubic Meter --> 0.0035 Cubic Meter No Conversion Required
Recirculation Factor: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 1+((0.0561/(100/E₂)-1)*sqrt(W^'/(V_T*F))) --> 1+((0.0561/(100/99)-1)*sqrt(2.77777777777778E-05/(0.0035*0.4)))

Evaluating ... ...

E = 0.866964127904142

STEP 3: Convert Result to Output's Unit

0.866964127904142 --> No Conversion Required

FINAL ANSWER

0.866964127904142 ≈ 0.866964 <-- Overall Efficiency

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 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

Go Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation Factor))))

Overall Efficiency of Two Stage Trickling Filter

Go Overall Efficiency = (Influent BOD Efficiency-Effluent BOD/Influent BOD Efficiency)*100

Efficiency of First Filter given BOD Loading for Second Filter

Go Overall Efficiency = 1-(BOD Loading to the Second Stage Filter/BOD Loading to Filter 2)

Efficiency of First Filter Stage using Efficiency of Second Filter Stage Formula

Overall Efficiency = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation Factor)))
E = 1+((0.0561/(100/E₂)-1)*sqrt(W^'/(V_T*F)))

What is Filter Stage?

Filter 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 First Filter Stage using Efficiency of Second Filter Stage?

Efficiency of First Filter Stage using Efficiency of Second Filter Stage calculator uses Overall Efficiency = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation Factor))) to calculate the Overall Efficiency, The Efficiency of First Filter Stage using Efficiency of Second Filter Stage formula is defined as the total capacity of the first filter to remove waste from the incoming sewage. Overall Efficiency is denoted by E symbol.

How to calculate Efficiency of First Filter Stage using Efficiency of Second Filter Stage using this online calculator? To use this online calculator for Efficiency of First Filter Stage using Efficiency of Second Filter Stage, enter Efficiency of Second Filter Stage (E₂), BOD Loading to Filter 2 (W^'), Volume (V_T) & Recirculation Factor (F) and hit the calculate button. Here is how the Efficiency of First Filter Stage using Efficiency of Second Filter Stage calculation can be explained with given input values -> 0.937286 = 1+((0.0561/(100/99)-1)*sqrt(2.77777777777778E-05/(0.0035*0.4))).

FAQ

What is Efficiency of First Filter Stage using Efficiency of Second Filter Stage?

The Efficiency of First Filter Stage using Efficiency of Second Filter Stage formula is defined as the total capacity of the first filter to remove waste from the incoming sewage and is represented as E = 1+((0.0561/(100/E₂)-1)*sqrt(W^'/(V_T*F))) or Overall Efficiency = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation Factor))). Efficiency of Second Filter Stage is the total efficiency obtained from the second trickling filter, BOD Loading to Filter 2 refers to 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 refers to the average number of passes of the influent organic matter through the trickling filter.

How to calculate Efficiency of First Filter Stage using Efficiency of Second Filter Stage?

The Efficiency of First Filter Stage using Efficiency of Second Filter Stage formula is defined as the total capacity of the first filter to remove waste from the incoming sewage is calculated using Overall Efficiency = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation Factor))). To calculate Efficiency of First Filter Stage using Efficiency of Second Filter Stage, you need Efficiency of Second Filter Stage (E₂), BOD Loading to Filter 2 (W^'), Volume (V_T) & Recirculation Factor (F). With our tool, you need to enter the respective value for Efficiency of Second 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 Overall Efficiency?

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

Overall Efficiency = (Influent BOD Efficiency-Effluent BOD/Influent BOD Efficiency)*100
Overall Efficiency = 1-(BOD Loading to the Second Stage Filter/BOD Loading to Filter 2)

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