Volume of Reactor given Hydraulic Retention Time Calculator

✖Hydraulic retention time defined as the ratio between the reactor volume and the feed flow rate, represents the average time the cells and substrates stay inside the reactor.ⓘ Hydraulic retention time [θ]			+10% -10%
✖Average daily influent flow rate is the total discharge that comes in the reactor.ⓘ Average daily influent flow rate [Q]			+10% -10%

✖The Reactor Volume gives us the capacity of the reactor.ⓘ Volume of Reactor given Hydraulic Retention Time [V]

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Formula

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Volume of Reactor given Hydraulic Retention Time

Formula

`"V" = "θ"*"Q"`

Example

`"0.2m³"="4h"*"1.2m³/d"`

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Volume of Reactor given Hydraulic Retention Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactor Volume = Hydraulic retention time*Average daily influent flow rate
V = θ*Q
This formula uses 3 Variables

Variables Used

Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
Hydraulic retention time - (Measured in Second) - Hydraulic retention time defined as the ratio between the reactor volume and the feed flow rate, represents the average time the cells and substrates stay inside the reactor.
Average daily influent flow rate - (Measured in Cubic Meter per Second) - Average daily influent flow rate is the total discharge that comes in the reactor.

STEP 1: Convert Input(s) to Base Unit

Hydraulic retention time: 4 Hour --> 14400 Second (Check conversion here)
Average daily influent flow rate: 1.2 Cubic Meter per Day --> 1.38888888888889E-05 Cubic Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = θ*Q --> 14400*1.38888888888889E-05

Evaluating ... ...

V = 0.2

STEP 3: Convert Result to Output's Unit

0.2 Cubic Meter --> No Conversion Required

FINAL ANSWER

0.2 Cubic Meter <-- Reactor Volume

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 5 Volume of Reactor Calculators

Volume of Reactor

Go Reactor Volume = (Mean Cell Residence Time*Maximum Yield Coefficient*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))/(MLVSS*(1+(Mean Cell Residence Time*Endogenous decay coefficient)))

Volume of Reactor given Wasting Rate from Return Line

Go Reactor Volume = Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/MLSS

Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low

Go Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS

Volume of Reactor given Hydraulic Retention Time

Go Reactor Volume = Hydraulic retention time*Average daily influent flow rate

Volume of Reactor given WAS Pumping Rate from Aeration Tank

Go Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Reactor

Volume of Reactor given Hydraulic Retention Time Formula

Reactor Volume = Hydraulic retention time*Average daily influent flow rate
V = θ*Q

What is hydraulic retention time?

The Hydraulic retention time is defined as the ratio between the reactor volume and the feed flow rate, represents the average time the cells and substrates stay inside the reactor.

How to Calculate Volume of Reactor given Hydraulic Retention Time?

Volume of Reactor given Hydraulic Retention Time calculator uses Reactor Volume = Hydraulic retention time*Average daily influent flow rate to calculate the Reactor Volume, The Volume of Reactor given Hydraulic Retention Time is defined as the total capacity of the reactor which can accumulate the influent sludge. Reactor Volume is denoted by V symbol.

How to calculate Volume of Reactor given Hydraulic Retention Time using this online calculator? To use this online calculator for Volume of Reactor given Hydraulic Retention Time, enter Hydraulic retention time (θ) & Average daily influent flow rate (Q) and hit the calculate button. Here is how the Volume of Reactor given Hydraulic Retention Time calculation can be explained with given input values -> 0.2 = 14400*1.38888888888889E-05.

FAQ

What is Volume of Reactor given Hydraulic Retention Time?

The Volume of Reactor given Hydraulic Retention Time is defined as the total capacity of the reactor which can accumulate the influent sludge and is represented as V = θ*Q or Reactor Volume = Hydraulic retention time*Average daily influent flow rate. Hydraulic retention time defined as the ratio between the reactor volume and the feed flow rate, represents the average time the cells and substrates stay inside the reactor & Average daily influent flow rate is the total discharge that comes in the reactor.

How to calculate Volume of Reactor given Hydraulic Retention Time?

The Volume of Reactor given Hydraulic Retention Time is defined as the total capacity of the reactor which can accumulate the influent sludge is calculated using Reactor Volume = Hydraulic retention time*Average daily influent flow rate. To calculate Volume of Reactor given Hydraulic Retention Time, you need Hydraulic retention time (θ) & Average daily influent flow rate (Q). With our tool, you need to enter the respective value for Hydraulic retention time & Average daily influent flow rate 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 Reactor Volume?

In this formula, Reactor Volume uses Hydraulic retention time & Average daily influent flow rate. We can use 4 other way(s) to calculate the same, which is/are as follows -

Reactor Volume = (Mean Cell Residence Time*Maximum Yield Coefficient*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))/(MLVSS*(1+(Mean Cell Residence Time*Endogenous decay coefficient)))
Reactor Volume = Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/MLSS
Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS
Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Reactor

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