WAS Pumping Rate from Return Line given Wasting Rate from Return Line Calculator

✖The Reactor Volume gives us the capacity of the reactor.ⓘ Reactor Volume [V]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%
✖Sludge Concentration in Return Line is the total BOD that is present in the return line.ⓘ Sludge Concentration in Return Line [X_r]			+10% -10%
✖Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier.ⓘ Effluent Flow Rate [Q_e]			+10% -10%
✖Solid Concentration in Effluent is the total amount of solids that are present in the effluent.ⓘ Solid Concentration in Effluent [X_e]			+10% -10%

✖WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.ⓘ WAS Pumping Rate from Return Line given Wasting Rate from Return Line [Q_w']

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Formula

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WAS Pumping Rate from Return Line given Wasting Rate from Return Line

Formula

`("Q"_{"w"}"'") = ("V"*"X"/("θ"_{"c"}*"X"_{"r"}))-("Q"_{"e"}*"X"_{"e"}/"X"_{"r"})`

Example

`"707.1429m³/d"=("1000m³"*"1200mg/L"/("7d"*"200mg/L"))-("500m³/d"*"60mg/L"/"200mg/L")`

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WAS Pumping Rate from Return Line given Wasting Rate from Return Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

WAS Pumping Rate from Return Line = (Reactor Volume*MLSS/(Mean Cell Residence Time*Sludge Concentration in Return Line))-(Effluent Flow Rate*Solid Concentration in Effluent/Sludge Concentration in Return Line)
Q_w' = (V*X/(θ_c*X_r))-(Q_e*X_e/X_r)
This formula uses 7 Variables

Variables Used

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.
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.
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.
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.
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.

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)
Sludge Concentration in Return Line: 200 Milligram per Liter --> 0.2 Kilogram per Cubic Meter (Check conversion here)
Effluent Flow Rate: 500 Cubic Meter per Day --> 0.00578703703703704 Cubic Meter per Second (Check conversion here)
Solid Concentration in Effluent: 60 Milligram per Liter --> 0.06 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_w' = (V*X/(θ_c*X_r))-(Q_e*X_e/X_r) --> (1000*1.2/(604800*0.2))-(0.00578703703703704*0.06/0.2)

Evaluating ... ...

Q_w' = 0.00818452380952381

STEP 3: Convert Result to Output's Unit

0.00818452380952381 Cubic Meter per Second -->707.142857142857 Cubic Meter per Day (Check conversion here)

FINAL ANSWER

707.142857142857 ≈ 707.1429 Cubic Meter per Day <-- WAS Pumping Rate from Return Line

(Calculation completed in 00.020 seconds)

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< 4 WAS Pumping Rate Calculators

WAS Pumping Rate from Return Line given Wasting Rate from Return Line

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

WAS Pumping Rate from Return Line given RAS Pumping Rate from Aeration Tank

Go WAS Pumping Rate from Return Line = ((MLSS/Sludge Concentration in Return Line)*(Average daily influent flow rate+Return Activated Sludge))-Return Activated Sludge

WAS Pumping Rate using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low

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

WAS Pumping Rate from Aeration Tank

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

WAS Pumping Rate from Return Line given Wasting Rate from Return Line Formula

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 WAS Pumping Rate from Return Line given Wasting Rate from Return Line?

WAS Pumping Rate from Return Line given Wasting Rate from Return Line calculator uses WAS Pumping Rate from Return Line = (Reactor Volume*MLSS/(Mean Cell Residence Time*Sludge Concentration in Return Line))-(Effluent Flow Rate*Solid Concentration in Effluent/Sludge Concentration in Return Line) to calculate the WAS Pumping Rate from Return Line, WAS pumping rate from return line given wasting rate from return line is amount of waste-activated sludge that is returned from return line. WAS Pumping Rate from Return Line is denoted by Q_w' symbol.

How to calculate WAS Pumping Rate from Return Line given Wasting Rate from Return Line using this online calculator? To use this online calculator for WAS Pumping Rate from Return Line given Wasting Rate from Return Line, enter Reactor Volume (V), MLSS (X), Mean Cell Residence Time (θ_c), Sludge Concentration in Return Line (X_r), Effluent Flow Rate (Q_e) & Solid Concentration in Effluent (X_e) and hit the calculate button. Here is how the WAS Pumping Rate from Return Line given Wasting Rate from Return Line calculation can be explained with given input values -> 3.9E+7 = (1000*1.2/(604800*0.2))-(0.00578703703703704*0.06/0.2).

FAQ

What is WAS Pumping Rate from Return Line given Wasting Rate from Return Line?

WAS pumping rate from return line given wasting rate from return line is amount of waste-activated sludge that is returned from return line and is represented as Q_w' = (V*X/(θ_c*X_r))-(Q_e*X_e/X_r) or WAS Pumping Rate from Return Line = (Reactor Volume*MLSS/(Mean Cell Residence Time*Sludge Concentration in Return Line))-(Effluent Flow Rate*Solid Concentration in Effluent/Sludge Concentration in Return Line). 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, Sludge Concentration in Return Line is the total BOD that is present in the return line, Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier & Solid Concentration in Effluent is the total amount of solids that are present in the effluent.

How to calculate WAS Pumping Rate from Return Line given Wasting Rate from Return Line?

WAS pumping rate from return line given wasting rate from return line is amount of waste-activated sludge that is returned from return line is calculated using WAS Pumping Rate from Return Line = (Reactor Volume*MLSS/(Mean Cell Residence Time*Sludge Concentration in Return Line))-(Effluent Flow Rate*Solid Concentration in Effluent/Sludge Concentration in Return Line). To calculate WAS Pumping Rate from Return Line given Wasting Rate from Return Line, you need Reactor Volume (V), MLSS (X), Mean Cell Residence Time (θ_c), Sludge Concentration in Return Line (X_r), Effluent Flow Rate (Q_e) & Solid Concentration in Effluent (X_e). With our tool, you need to enter the respective value for Reactor Volume, MLSS, Mean Cell Residence Time, Sludge Concentration in Return Line, Effluent Flow Rate & Solid Concentration in Effluent 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 WAS Pumping Rate from Return Line?

In this formula, WAS Pumping Rate from Return Line uses Reactor Volume, MLSS, Mean Cell Residence Time, Sludge Concentration in Return Line, Effluent Flow Rate & Solid Concentration in Effluent. We can use 2 other way(s) to calculate the same, which is/are as follows -

WAS Pumping Rate from Return Line = Reactor Volume*MLSS/(Mean Cell Residence Time*Sludge Concentration in Return Line)
WAS Pumping Rate from Return Line = ((MLSS/Sludge Concentration in Return Line)*(Average daily influent flow rate+Return Activated Sludge))-Return Activated Sludge

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