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) - Reactor Volume refers to the physical volume of a reactor used in chemical processes.
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 refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.
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 00.020 seconds)

Credits

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Effluent Flow Rate given Wasting Rate from Return Line
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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

​LaTeX ​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)
Qe = (V*X/(θc*Xe))-(Qw'*Xr/Xe)

What is Wasting Rate?

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 formula is defined as 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 -> 1.3E+8 = (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 formula is defined as 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). Reactor Volume refers to the physical volume of a reactor used in chemical processes, 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 refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.
How to calculate Effluent Flow Rate given Wasting Rate from Return Line?
The Effluent Flow Rate given Wasting Rate from Return Line formula is defined as 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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