Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank Calculator

✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Average daily influent flow rate is the total discharge that comes in the reactor.ⓘ Average daily influent flow rate [Q]			+10% -10%
✖Return activated sludge flow rate will vary with each installation and with different load factors.ⓘ Return Activated Sludge [Q_r]			+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.ⓘ Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank [X_r]

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Formula

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Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank

Formula

`"X"_{"r"} = "X"*("Q"+"Q"_{"r"})/("Q"_{"r"}+("Q"_{"w"}"'"))`

Example

`"32.78049mg/L"="1200mg/L"*("1.2m³/d"+"10m³/d")/("10m³/d"+"400m³/d")`

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Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sludge Concentration in Return Line = MLSS*(Average daily influent flow rate+Return Activated Sludge)/(Return Activated Sludge+WAS Pumping Rate from Return Line)
X_r = X*(Q+Q_r)/(Q_r+Q_w')
This formula uses 5 Variables

Variables Used

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.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Average daily influent flow rate - (Measured in Cubic Meter per Second) - Average daily influent flow rate is the total discharge that comes in the reactor.
Return Activated Sludge - (Measured in Cubic Meter per Second) - Return activated sludge flow rate will vary with each installation and with different load factors.
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.

STEP 1: Convert Input(s) to Base Unit

MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Average daily influent flow rate: 1.2 Cubic Meter per Day --> 1.38888888888889E-05 Cubic Meter per Second (Check conversion here)
Return Activated Sludge: 10 Cubic Meter per Day --> 0.000115740740740741 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_r = X*(Q+Q_r)/(Q_r+Q_w') --> 1.2*(1.38888888888889E-05+0.000115740740740741)/(0.000115740740740741+0.00462962962962963)

Evaluating ... ...

X_r = 0.0327804878048781

STEP 3: Convert Result to Output's Unit

0.0327804878048781 Kilogram per Cubic Meter -->32.7804878048781 Milligram per Liter (Check conversion here)

FINAL ANSWER

32.7804878048781 ≈ 32.78049 Milligram per Liter <-- Sludge Concentration in Return Line

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Design of a complete mix activated sludge reactor » Concentration of Solids » Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank

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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 Sludge in Return Line given RAS Pumping Rate from Aeration Tank Formula

Sludge Concentration in Return Line = MLSS*(Average daily influent flow rate+Return Activated Sludge)/(Return Activated Sludge+WAS Pumping Rate from Return Line)
X_r = X*(Q+Q_r)/(Q_r+Q_w')

What is aeration tank?

Aeration tank where air (or oxygen) is injected in the mixed liquor. Settling tank (usually referred to as "final clarifier" or "secondary settling tank") to allow the biological flocs (the sludge blanket) to settle, thus separating the biological sludge from the clear treated water.

How to Calculate Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank?

Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank calculator uses Sludge Concentration in Return Line = MLSS*(Average daily influent flow rate+Return Activated Sludge)/(Return Activated Sludge+WAS Pumping Rate from Return Line) to calculate the Sludge Concentration in Return Line, The Concentration of sludge in return line given RAS pumping rate from aeration tank is the total amount of sludge concentration that is sent from the aeration tank. Sludge Concentration in Return Line is denoted by X_r symbol.

How to calculate Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank using this online calculator? To use this online calculator for Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank, enter MLSS (X), Average daily influent flow rate (Q), Return Activated Sludge (Q_r) & WAS Pumping Rate from Return Line (Q_w') and hit the calculate button. Here is how the Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank calculation can be explained with given input values -> 32780.49 = 1.2*(1.38888888888889E-05+0.000115740740740741)/(0.000115740740740741+0.00462962962962963).

FAQ

What is Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank?

The Concentration of sludge in return line given RAS pumping rate from aeration tank is the total amount of sludge concentration that is sent from the aeration tank and is represented as X_r = X*(Q+Q_r)/(Q_r+Q_w') or Sludge Concentration in Return Line = MLSS*(Average daily influent flow rate+Return Activated Sludge)/(Return Activated Sludge+WAS Pumping Rate from Return Line). MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Average daily influent flow rate is the total discharge that comes in the reactor, Return activated sludge flow rate will vary with each installation and with different load factors & WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.

How to calculate Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank?

The Concentration of sludge in return line given RAS pumping rate from aeration tank is the total amount of sludge concentration that is sent from the aeration tank is calculated using Sludge Concentration in Return Line = MLSS*(Average daily influent flow rate+Return Activated Sludge)/(Return Activated Sludge+WAS Pumping Rate from Return Line). To calculate Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank, you need MLSS (X), Average daily influent flow rate (Q), Return Activated Sludge (Q_r) & WAS Pumping Rate from Return Line (Q_w'). With our tool, you need to enter the respective value for MLSS, Average daily influent flow rate, Return Activated Sludge & WAS Pumping Rate from 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 Sludge Concentration in Return Line?

In this formula, Sludge Concentration in Return Line uses MLSS, Average daily influent flow rate, Return Activated Sludge & WAS Pumping Rate from Return Line. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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