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

STEP 0: Pre-Calculation Summary
Formula Used
Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS
V = θc*Qw'*Xr/X
This formula uses 5 Variables
Variables Used
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
WAS Pumping Rate from Return Line - (Measured in Cubic Meter per Second) - WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.
Sludge Concentration in Return Line - (Measured in Kilogram per Cubic Meter) - Sludge Concentration in Return Line is the total BOD that is present in the return line.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
STEP 1: Convert Input(s) to Base Unit
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
WAS Pumping Rate from Return Line: 400 Cubic Meter per Day --> 0.00462962962962963 Cubic Meter per Second (Check conversion here)
Sludge Concentration in Return Line: 200 Milligram per Liter --> 0.2 Kilogram per Cubic Meter (Check conversion here)
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = θc*Qw'*Xr/X --> 604800*0.00462962962962963*0.2/1.2
Evaluating ... ...
V = 466.666666666667
STEP 3: Convert Result to Output's Unit
466.666666666667 Cubic Meter --> No Conversion Required
FINAL ANSWER
466.666666666667 466.6667 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
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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 using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low Formula

Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS
V = θc*Qw'*Xr/X

What is wasting rate?

The Wasting rate from return line is the time required to waste sludge from the return sludge line because return activated sludge is more concentrated and requires smaller waste sludge pumps.

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

Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculator uses Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS to calculate the Reactor Volume, The Volume of reactor using Wasting rate from return line when concentration of solid in effluent is low is the total capacity of the reactor to accommodate the incoming sludge. Reactor Volume is denoted by V symbol.

How to calculate Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low using this online calculator? To use this online calculator for Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, enter Mean Cell Residence Time c), WAS Pumping Rate from Return Line (Qw'), Sludge Concentration in Return Line (Xr) & MLSS (X) and hit the calculate button. Here is how the Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculation can be explained with given input values -> 666.6667 = 604800*0.00462962962962963*0.2/1.2.

FAQ

What is Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?
The Volume of reactor using Wasting rate from return line when concentration of solid in effluent is low is the total capacity of the reactor to accommodate the incoming sludge and is represented as V = θc*Qw'*Xr/X or Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS. Mean Cell Residence Time is the average time that the sludge remains in the reactor, WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line, Sludge Concentration in Return Line is the total BOD that is present in the return line & MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
How to calculate Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?
The Volume of reactor using Wasting rate from return line when concentration of solid in effluent is low is the total capacity of the reactor to accommodate the incoming sludge is calculated using Reactor Volume = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/MLSS. To calculate Volume of Reactor using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, you need Mean Cell Residence Time c), WAS Pumping Rate from Return Line (Qw'), Sludge Concentration in Return Line (Xr) & MLSS (X). With our tool, you need to enter the respective value for Mean Cell Residence Time, WAS Pumping Rate from Return Line, Sludge Concentration in Return Line & MLSS 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 Mean Cell Residence Time, WAS Pumping Rate from Return Line, Sludge Concentration in Return Line & MLSS. 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 = Hydraulic retention time*Average daily influent flow rate
  • 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 Reactor
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