Concentration of Solids in Effluent given Wasting Rate from Return Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate)
Xe = (V*X/(θc*Qe))-(Qw'*Xr/Qe)
This formula uses 7 Variables
Variables Used
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.
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.
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.
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)
Effluent Flow Rate: 500 Cubic Meter per Day --> 0.00578703703703704 Cubic Meter per 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Xe = (V*X/(θc*Qe))-(Qw'*Xr/Qe) --> (1000*1.2/(604800*0.00578703703703704))-(0.00462962962962963*0.2/0.00578703703703704)
Evaluating ... ...
Xe = 0.182857142857143
STEP 3: Convert Result to Output's Unit
0.182857142857143 Kilogram per Cubic Meter -->182.857142857143 Milligram per Liter (Check conversion here)
FINAL ANSWER
182.857142857143 182.8571 Milligram per Liter <-- Solid Concentration in Effluent
(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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3 Concentration of Solids Calculators

Concentration of Sludge in Return Line given Wasting Rate from Return Line
Go Sludge Concentration in Return Line = (Reactor Volume*MLSS/(Mean Cell Residence Time*WAS Pumping Rate from Return Line))-(Effluent Flow Rate*Solid Concentration in Effluent/WAS Pumping Rate from Return Line)
Concentration of Solids in Effluent given Wasting Rate from Return Line
Go Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate)
Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank
Go Sludge Concentration in Return Line = MLSS*(Average daily influent flow rate+Return Activated Sludge)/(Return Activated Sludge+WAS Pumping Rate from Return Line)

Concentration of Solids in Effluent given Wasting Rate from Return Line Formula

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

What is wasting sludge?

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 Concentration of Solids in Effluent given Wasting Rate from Return Line?

Concentration of Solids in Effluent given Wasting Rate from Return Line calculator uses Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate) to calculate the Solid Concentration in Effluent, The Concentration of Solids in Effluent given Wasting Rate from Return Line is the amount of solids that are present in the sewage after the treatment has been done. Solid Concentration in Effluent is denoted by Xe symbol.

How to calculate Concentration of Solids in Effluent given Wasting Rate from Return Line using this online calculator? To use this online calculator for Concentration of Solids in Effluent given Wasting Rate from Return Line, enter Reactor Volume (V), MLSS (X), Mean Cell Residence Time c), Effluent Flow Rate (Qe), WAS Pumping Rate from Return Line (Qw') & Sludge Concentration in Return Line (Xr) and hit the calculate button. Here is how the Concentration of Solids in Effluent given Wasting Rate from Return Line calculation can be explained with given input values -> 80000 = (1000*1.2/(604800*0.00578703703703704))-(0.00462962962962963*0.2/0.00578703703703704).

FAQ

What is Concentration of Solids in Effluent given Wasting Rate from Return Line?
The Concentration of Solids in Effluent given Wasting Rate from Return Line is the amount of solids that are present in the sewage after the treatment has been done and is represented as Xe = (V*X/(θc*Qe))-(Qw'*Xr/Qe) or Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate). 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, Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier, 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 Concentration of Solids in Effluent given Wasting Rate from Return Line?
The Concentration of Solids in Effluent given Wasting Rate from Return Line is the amount of solids that are present in the sewage after the treatment has been done is calculated using Solid Concentration in Effluent = (Reactor Volume*MLSS/(Mean Cell Residence Time*Effluent Flow Rate))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Effluent Flow Rate). To calculate Concentration of Solids in Effluent given Wasting Rate from Return Line, you need Reactor Volume (V), MLSS (X), Mean Cell Residence Time c), Effluent Flow Rate (Qe), 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, Effluent Flow Rate, 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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