Effluent Flow Rate given Wasting Rate from Return Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent)
Qe = (V*X/(θc*Xe))-(Qw'*Xr/Xe)
This formula uses 7 Variables
Variables Used
Effluent Flow Rate - (Measured in Cubic Meter per Second) - Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
Solid Concentration in Effluent - (Measured in Kilogram per Cubic Meter) - Solid Concentration in Effluent is the total amount of solids that are present in the effluent.
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.
STEP 1: Convert Input(s) to Base Unit
Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
Solid Concentration in Effluent: 60 Milligram per Liter --> 0.06 Kilogram per Cubic Meter (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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qe = (V*X/(θc*Xe))-(Qw'*Xr/Xe) --> (1000*1.2/(604800*0.06))-(0.00462962962962963*0.2/0.06)
Evaluating ... ...
Qe = 0.017636684303351
STEP 3: Convert Result to Output's Unit
0.017636684303351 Cubic Meter per Second -->1523.80952380952 Cubic Meter per Day (Check conversion here)
FINAL ANSWER
1523.80952380952 1523.81 Cubic Meter per Day <-- Effluent Flow Rate
(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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4 Effluent Substrate Concentration Calculators

Effluent Substrate Concentration given Volume of Reactor
Go Effluent substrate concentration = Influent Substrate Concentration-((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient))
Effluent Flow Rate given Wasting Rate from Return Line
Go Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent)
Effluent Substrate Concentration given Theoretical Oxygen Requirement
Go Effluent substrate concentration = Influent Substrate Concentration-((Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*Average daily influent flow rate)))
Effluent Substrate Concentration given Net Waste Activated Sludge
Go Effluent substrate concentration = Influent Substrate Concentration-(Net waste activated sludge/(Observed Cell Yield*Average daily influent flow rate*8.34))

Effluent Flow Rate given Wasting Rate from Return Line Formula

Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent)
Qe = (V*X/(θc*Xe))-(Qw'*Xr/Xe)

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 Effluent Flow Rate given Wasting Rate from Return Line?

Effluent Flow Rate given Wasting Rate from Return Line calculator uses Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent) to calculate the Effluent Flow Rate, The Effluent Flow Rate given Wasting Rate from Return Line is the total amount of flow which is generated after the treatment is applied per day. Effluent Flow Rate is denoted by Qe symbol.

How to calculate Effluent Flow Rate given Wasting Rate from Return Line using this online calculator? To use this online calculator for Effluent Flow Rate given Wasting Rate from Return Line, enter Reactor Volume (V), MLSS (X), Mean Cell Residence Time c), Solid Concentration in Effluent (Xe), WAS Pumping Rate from Return Line (Qw') & Sludge Concentration in Return Line (Xr) and hit the calculate button. Here is how the Effluent Flow Rate given Wasting Rate from Return Line calculation can be explained with given input values -> 5.8E+7 = (1000*1.2/(604800*0.06))-(0.00462962962962963*0.2/0.06).

FAQ

What is Effluent Flow Rate given Wasting Rate from Return Line?
The Effluent Flow Rate given Wasting Rate from Return Line is the total amount of flow which is generated after the treatment is applied per day and is represented as Qe = (V*X/(θc*Xe))-(Qw'*Xr/Xe) or Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent). The Reactor Volume gives us the capacity of the reactor, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Mean Cell Residence Time is the average time that the sludge remains in the reactor, Solid Concentration in Effluent is the total amount of solids that are present in the effluent, 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.
How to calculate Effluent Flow Rate given Wasting Rate from Return Line?
The Effluent Flow Rate given Wasting Rate from Return Line is the total amount of flow which is generated after the treatment is applied per day is calculated using Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent). To calculate Effluent Flow Rate given Wasting Rate from Return Line, you need Reactor Volume (V), MLSS (X), Mean Cell Residence Time c), Solid Concentration in Effluent (Xe), WAS Pumping Rate from Return Line (Qw') & Sludge Concentration in Return Line (Xr). With our tool, you need to enter the respective value for Reactor Volume, MLSS, Mean Cell Residence Time, Solid Concentration in Effluent, WAS Pumping Rate from Return Line & Sludge Concentration in Return Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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