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RAS Pumping Rate from Aeration Tank Formula

GoRAS Pumping Rate using Recirculation Ratio Formula

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Return Activated Sludge is the portion of settled biomass that is recycled from the secondary clarifier back to the aeration tank in a wastewater treatment process. Check FAQs

RAS = \frac{X \cdot Q a - X r \cdot Q w'}{X r - X}

RAS - Return Activated Sludge?X - MLSS?Q_a - Average Daily Influent Flow Rate?X_r - Sludge Concentration in Return Line?Q_w' - WAS Pumping Rate from Return Line?

RAS Pumping Rate from Aeration Tank Example

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Here is how the RAS Pumping Rate from Aeration Tank equation looks like with Values.

Here is how the RAS Pumping Rate from Aeration Tank equation looks like with Units.

Here is how the RAS Pumping Rate from Aeration Tank equation looks like.

78.56 = \frac{1200 \cdot 1.2 - 200 \cdot 400}{200 - 1200}

78.56m³/d = \frac{1200mg/L \cdot 1.2m³/d - 200mg/L \cdot 400m³/d}{200mg/L - 1200mg/L}

78.56 = \frac{1200 \cdot 1.2 - 200 \cdot 400}{200 - 1200}

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RAS Pumping Rate from Aeration Tank Solution

Follow our step by step solution on how to calculate RAS Pumping Rate from Aeration Tank?

FIRST Step Consider the formula

RAS = \frac{X \cdot Q a - X r \cdot Q w'}{X r - X}

Next Step Substitute values of Variables

∴

RAS = \frac{1200mg/L \cdot 1.2m³/d - 200mg/L \cdot 400m³/d}{200mg/L - 1200mg/L}

Next Step Convert Units

∴

RAS = \frac{1.2kg/m³ \cdot 1.4E-5m³/s - 0.2kg/m³ \cdot 0.0046m³/s}{0.2kg/m³ - 1.2kg/m³}

Next Step Prepare to Evaluate

∴

RAS = \frac{1.2 \cdot 1.4E-5 - 0.2 \cdot 0.0046}{0.2 - 1.2}

Next Step Evaluate

∴

RAS = 0.000909259259259259m³/s

LAST Step Convert to Output's Unit

∴

RAS = 78.56m³/d

RAS Pumping Rate from Aeration Tank Formula Elements

Variables

Return Activated Sludge

Return Activated Sludge is the portion of settled biomass that is recycled from the secondary clarifier back to the aeration tank in a wastewater treatment process.

Symbol: RAS

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Return Activated Sludge

MLSS

MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

Symbol: X

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find MLSS

Average Daily Influent Flow Rate

Average Daily Influent Flow Rate is the total discharge that comes in the reactor.

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Average Daily Influent Flow Rate

Sludge Concentration in 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.

Symbol: X_r

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Sludge Concentration in Return Line

WAS Pumping Rate from Return Line

WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.

Symbol: Q_w'

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find WAS Pumping Rate from Return Line

Other Formulas to find Return Activated Sludge

Go RAS Pumping Rate using Recirculation Ratio

RAS = α \cdot Q a

How to Evaluate RAS Pumping Rate from Aeration Tank?

RAS Pumping Rate from Aeration Tank evaluator uses Return Activated Sludge = (MLSS*Average Daily Influent Flow Rate-Sludge Concentration in Return Line*WAS Pumping Rate from Return Line)/(Sludge Concentration in Return Line-MLSS) to evaluate the Return Activated Sludge, The RAS pumping rate from aeration tank is the amount of returned activated sludge that is generated from the aeration tank. Return Activated Sludge is denoted by RAS symbol.

How to evaluate RAS Pumping Rate from Aeration Tank using this online evaluator? To use this online evaluator for RAS Pumping Rate from Aeration Tank, enter MLSS (X), Average Daily Influent Flow Rate (Q_a), Sludge Concentration in Return Line (X_r) & WAS Pumping Rate from Return Line (Q_w') and hit the calculate button.

FAQs on RAS Pumping Rate from Aeration Tank

What is the formula to find RAS Pumping Rate from Aeration Tank?

The formula of RAS Pumping Rate from Aeration Tank is expressed as Return Activated Sludge = (MLSS*Average Daily Influent Flow Rate-Sludge Concentration in Return Line*WAS Pumping Rate from Return Line)/(Sludge Concentration in Return Line-MLSS). Here is an example- 6.8E+6 = (1.2*1.38888888888889E-05-0.2*0.00462962962962963)/(0.2-1.2).

How to calculate RAS Pumping Rate from Aeration Tank?

With MLSS (X), Average Daily Influent Flow Rate (Q_a), Sludge Concentration in Return Line (X_r) & WAS Pumping Rate from Return Line (Q_w') we can find RAS Pumping Rate from Aeration Tank using the formula - Return Activated Sludge = (MLSS*Average Daily Influent Flow Rate-Sludge Concentration in Return Line*WAS Pumping Rate from Return Line)/(Sludge Concentration in Return Line-MLSS).

What are the other ways to Calculate Return Activated Sludge?

Here are the different ways to Calculate Return Activated Sludge-

Return Activated Sludge=Recirculation Ratio*Average Daily Influent Flow Rate

Can the RAS Pumping Rate from Aeration Tank be negative?

No, the RAS Pumping Rate from Aeration Tank, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure RAS Pumping Rate from Aeration Tank?

RAS Pumping Rate from Aeration Tank is usually measured using the Cubic Meter per Day[m³/d] for Volumetric Flow Rate. Cubic Meter per Second[m³/d], Cubic Meter per Hour[m³/d], Cubic Meter per Minute[m³/d] are the few other units in which RAS Pumping Rate from Aeration Tank can be measured.

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RAS Pumping Rate from Aeration Tank Formula

​GoRAS Pumping Rate using Recirculation Ratio Formula

RAS Pumping Rate from Aeration Tank Example

RAS Pumping Rate from Aeration Tank Solution

RAS Pumping Rate from Aeration Tank Formula Elements

Other Formulas to find Return Activated Sludge

How to Evaluate RAS Pumping Rate from Aeration Tank?

FAQs on RAS Pumping Rate from Aeration Tank

Variable Name

GoRAS Pumping Rate using Recirculation Ratio Formula