Wasting Rate from Return Line when Concentration of Solid in Effluent is Low 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%
✖WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.ⓘ WAS Pumping Rate from Return Line [Q_w']			+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%

✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Wasting Rate from Return Line when Concentration of Solid in Effluent is Low [θ_c]

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Formula

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

Formula

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

Example

`"15d"=("1000m³"*"1200mg/L")/("400m³/d"*"200mg/L")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)
θ_c = (V*X)/(Q_w'*X_r)
This formula uses 5 Variables

Variables Used

Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
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).
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)
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

θ_c = (V*X)/(Q_w'*X_r) --> (1000*1.2)/(0.00462962962962963*0.2)

Evaluating ... ...

θ_c = 1296000

STEP 3: Convert Result to Output's Unit

1296000 Second -->15 Day (Check conversion here)

FINAL ANSWER

15 Day <-- Mean Cell Residence Time

(Calculation completed in 00.020 seconds)

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Wasting Rate from Return Line

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

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

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

Wasting Rate from Return Line when Concentration of Solid in Effluent is Low Formula

Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)
θ_c = (V*X)/(Q_w'*X_r)

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 Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?

Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculator uses Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line) to calculate the Mean Cell Residence Time, The Wasting rate from return line when concentration of solid in effluent is low is the method to calculate wasting rate when solid concentration in effluent is less. Mean Cell Residence Time is denoted by θ_c symbol.

How to calculate Wasting Rate from Return Line when Concentration of Solid in Effluent is Low using this online calculator? To use this online calculator for Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, enter Reactor Volume (V), MLSS (X), WAS Pumping Rate from Return Line (Q_w') & Sludge Concentration in Return Line (X_r) and hit the calculate button. Here is how the Wasting Rate from Return Line when Concentration of Solid in Effluent is Low calculation can be explained with given input values -> 0.000174 = (1000*1.2)/(0.00462962962962963*0.2).

FAQ

What is Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?

The Wasting rate from return line when concentration of solid in effluent is low is the method to calculate wasting rate when solid concentration in effluent is less and is represented as θ_c = (V*X)/(Q_w'*X_r) or Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*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), 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 Wasting Rate from Return Line when Concentration of Solid in Effluent is Low?

The Wasting rate from return line when concentration of solid in effluent is low is the method to calculate wasting rate when solid concentration in effluent is less is calculated using Mean Cell Residence Time = (Reactor Volume*MLSS)/(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line). To calculate Wasting Rate from Return Line when Concentration of Solid in Effluent is Low, you need Reactor Volume (V), MLSS (X), WAS Pumping Rate from Return Line (Q_w') & Sludge Concentration in Return Line (X_r). With our tool, you need to enter the respective value for Reactor Volume, MLSS, 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.

How many ways are there to calculate Mean Cell Residence Time?

In this formula, Mean Cell Residence Time uses Reactor Volume, MLSS, WAS Pumping Rate from Return Line & Sludge Concentration in Return Line. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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