Recirculation Factor given Recirculation ratio Calculator

✖Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.ⓘ Recirculation Factor given Recirculation ratio [F]

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Recirculation Factor given Recirculation ratio

Formula

`"F" = (1+"α")/(1+0.1*"α")^2`

Example

`"1.890359"=(1+"1.5")/(1+0.1*"1.5")^2`

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Recirculation Factor given Recirculation ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Recirculation factor = (1+Recirculation Ratio)/(1+0.1*Recirculation Ratio)^2
F = (1+α)/(1+0.1*α)^2
This formula uses 2 Variables

Variables Used

Recirculation factor - Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.
Recirculation Ratio - Recirculation Ratio is the ratio of the RAS pumping rate to influent flow rate.

STEP 1: Convert Input(s) to Base Unit

Recirculation Ratio: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = (1+α)/(1+0.1*α)^2 --> (1+1.5)/(1+0.1*1.5)^2

Evaluating ... ...

F = 1.89035916824197

STEP 3: Convert Result to Output's Unit

1.89035916824197 --> No Conversion Required

FINAL ANSWER

1.89035916824197 ≈ 1.890359 <-- Recirculation factor

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

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

Recirculation Factor given Recirculation ratio Formula

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

What is recirculation ratio ?

Recirculation ratio is the ratio of recirculated flow to the total flow of raw sewage. If the sewage has high concentration of B.O.D., it can be treated by passing number of times through the trickling filters and settling tanks.

How to Calculate Recirculation Factor given Recirculation ratio?

Recirculation Factor given Recirculation ratio calculator uses Recirculation factor = (1+Recirculation Ratio)/(1+0.1*Recirculation Ratio)^2 to calculate the Recirculation factor, Recirculation Factor given Recirculation ratio is defined as capacity of pumps doing recirculation of sewage . Recirculation factor is denoted by F symbol.

How to calculate Recirculation Factor given Recirculation ratio using this online calculator? To use this online calculator for Recirculation Factor given Recirculation ratio, enter Recirculation Ratio (α) and hit the calculate button. Here is how the Recirculation Factor given Recirculation ratio calculation can be explained with given input values -> 2.504129 = (1+1.5)/(1+0.1*1.5)^2.

FAQ

What is Recirculation Factor given Recirculation ratio?

Recirculation Factor given Recirculation ratio is defined as capacity of pumps doing recirculation of sewage and is represented as F = (1+α)/(1+0.1*α)^2 or Recirculation factor = (1+Recirculation Ratio)/(1+0.1*Recirculation Ratio)^2. Recirculation Ratio is the ratio of the RAS pumping rate to influent flow rate.

How to calculate Recirculation Factor given Recirculation ratio?

Recirculation Factor given Recirculation ratio is defined as capacity of pumps doing recirculation of sewage is calculated using Recirculation factor = (1+Recirculation Ratio)/(1+0.1*Recirculation Ratio)^2. To calculate Recirculation Factor given Recirculation ratio, you need Recirculation Ratio (α). With our tool, you need to enter the respective value for Recirculation Ratio 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 Recirculation Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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