FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoConcentration of Sludge in Return Line given Wasting Rate from Return Line Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

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

With values

With units

Only example

Here is how the Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank equation looks like with Values.

Here is how the Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank equation looks like with Units.

Here is how the Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank equation looks like.

32.7805 = 1200 \cdot \frac{1.2 + 10}{10 + 400}

32.7805mg/L = 1200mg/L \cdot \frac{1.2m³/d + 10m³/d}{10m³/d + 400m³/d}

32.7805 = 1200 \cdot \frac{1.2 + 10}{10 + 400}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx 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 Solution

Follow our step by step solution on how to calculate Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

X r = 1200mg/L \cdot \frac{1.2m³/d + 10m³/d}{10m³/d + 400m³/d}

Next Step Convert Units

∴

X r = 1.2kg/m³ \cdot \frac{1.4E-5m³/s + 0.0001m³/s}{0.0001m³/s + 0.0046m³/s}

Next Step Prepare to Evaluate

∴

X r = 1.2 \cdot \frac{1.4E-5 + 0.0001}{0.0001 + 0.0046}

Next Step Evaluate

∴

X r = 0.0327804878048781kg/m³

Next Step Convert to Output's Unit

∴

X r = 32.7804878048781mg/L

LAST Step Rounding Answer

∴

X r = 32.7805mg/L

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

Variables

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

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

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

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 Sludge Concentration in Return Line

Go Concentration of Sludge in Return Line given Wasting Rate from Return Line

X r = (V \cdot \frac{X}{θ c \cdot Q w'}) - (Q e \cdot \frac{X e}{Q w'})

Other formulas in Concentration of Solids category

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

X e = (V \cdot \frac{X}{θ c \cdot Q e}) - (Q w' \cdot \frac{X r}{Q e})

How to Evaluate 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 evaluator 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 evaluate the Sludge Concentration in Return Line, The Concentration of sludge in Return Line given RAS Pumping Rate from Aeration Tank formula is defined as 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 evaluate Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank using this online evaluator? To use this online evaluator for Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank, enter MLSS (X), Average Daily Influent Flow Rate (Q_a), Return Activated Sludge (RAS) & WAS Pumping Rate from Return Line (Q_w') and hit the calculate button.

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

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

The formula of Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank is expressed as Sludge Concentration in Return Line = MLSS*(Average Daily Influent Flow Rate+Return Activated Sludge)/(Return Activated Sludge+WAS Pumping Rate from Return Line). Here is an example- 32780.49 = 1.2*(1.38888888888889E-05+0.000115740740740741)/(0.000115740740740741+0.00462962962962963).

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

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

What are the other ways to Calculate Sludge Concentration in Return Line?

Here are the different ways to Calculate Sludge Concentration in Return Line-

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)

Can the Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank be negative?

No, the Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank, measured in Density cannot be negative.

Which unit is used to measure 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 is usually measured using the Milligram per Liter[mg/L] for Density. Kilogram per Cubic Meter[mg/L], Kilogram per Cubic Centimeter[mg/L], Gram per Cubic Meter[mg/L] are the few other units in which Concentration of Sludge in Return Line given RAS Pumping Rate from Aeration Tank can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

​GoConcentration of Sludge in Return Line given Wasting Rate from Return Line Formula

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

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

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

Other Formulas to find Sludge Concentration in Return Line

Other formulas in Concentration of Solids category

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

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

Variable Name

GoConcentration of Sludge in Return Line given Wasting Rate from Return Line Formula