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Effluent Flow Rate given Wasting Rate from Return Line Formula

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Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier. Check FAQs

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

Q_e - Effluent Flow Rate?V - Reactor Volume?X - MLSS?θ_c - Mean Cell Residence Time?X_e - Solid Concentration in Effluent?Q_w' - WAS Pumping Rate from Return Line?X_r - Sludge Concentration in Return Line?

Effluent Flow Rate given Wasting Rate from Return Line Example

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Here is how the Effluent Flow Rate given Wasting Rate from Return Line equation looks like with Values.

Here is how the Effluent Flow Rate given Wasting Rate from Return Line equation looks like with Units.

Here is how the Effluent Flow Rate given Wasting Rate from Return Line equation looks like.

1523.8095 = (1000 \cdot \frac{1200}{7 \cdot 60}) - (400 \cdot \frac{200}{60})

1523.8095m³/d = (1000m³ \cdot \frac{1200mg/L}{7d \cdot 60mg/L}) - (400m³/d \cdot \frac{200mg/L}{60mg/L})

1523.8095 = (1000 \cdot \frac{1200}{7 \cdot 60}) - (400 \cdot \frac{200}{60})

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Effluent Flow Rate given Wasting Rate from Return Line Solution

Follow our step by step solution on how to calculate Effluent Flow Rate given Wasting Rate from Return Line?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q e = (1000m³ \cdot \frac{1200mg/L}{7d \cdot 60mg/L}) - (400m³/d \cdot \frac{200mg/L}{60mg/L})

Next Step Convert Units

∴

Q e = (1000m³ \cdot \frac{1.2kg/m³}{604800s \cdot 0.06kg/m³}) - (0.0046m³/s \cdot \frac{0.2kg/m³}{0.06kg/m³})

Next Step Prepare to Evaluate

∴

Q e = (1000 \cdot \frac{1.2}{604800 \cdot 0.06}) - (0.0046 \cdot \frac{0.2}{0.06})

Next Step Evaluate

∴

Q e = 0.017636684303351m³/s

Next Step Convert to Output's Unit

∴

Q e = 1523.80952380952m³/d

LAST Step Rounding Answer

∴

Q e = 1523.8095m³/d

Effluent Flow Rate given Wasting Rate from Return Line Formula Elements

Variables

Effluent Flow Rate

Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier.

Symbol: Q_e

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Effluent Flow Rate

Reactor Volume

Reactor Volume refers to the physical volume of a reactor used in chemical processes.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Reactor Volume

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

Mean Cell Residence Time

Mean Cell Residence Time is the average time that the sludge remains in the reactor.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be between 5 to 15.

Formulas to find Mean Cell Residence Time

Solid Concentration in Effluent

Solid Concentration in Effluent is the total amount of solids that are present in the effluent.

Symbol: X_e

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Solid Concentration in Effluent

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

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

Other formulas in Effluent Substrate Concentration category

Go Effluent Substrate Concentration given Volume of Reactor

S = S o - (\frac{V \cdot X a \cdot (1 + (k d \cdot θ c))}{θ c \cdot Q a \cdot Y})

Go Effluent Substrate Concentration given Net Waste Activated Sludge

S = S o - (\frac{P x}{Y obs \cdot Q a \cdot 8.34})

How to Evaluate Effluent Flow Rate given Wasting Rate from Return Line?

Effluent Flow Rate given Wasting Rate from Return Line evaluator uses Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent) to evaluate the Effluent Flow Rate, The Effluent Flow Rate given Wasting Rate from Return Line formula is defined as the total amount of flow which is generated after the treatment is applied per day. Effluent Flow Rate is denoted by Q_e symbol.

How to evaluate Effluent Flow Rate given Wasting Rate from Return Line using this online evaluator? To use this online evaluator for Effluent Flow Rate given Wasting Rate from Return Line, enter Reactor Volume (V), MLSS (X), Mean Cell Residence Time (θ_c), Solid Concentration in Effluent (X_e), WAS Pumping Rate from Return Line (Q_w') & Sludge Concentration in Return Line (X_r) and hit the calculate button.

FAQs on Effluent Flow Rate given Wasting Rate from Return Line

What is the formula to find Effluent Flow Rate given Wasting Rate from Return Line?

The formula of Effluent Flow Rate given Wasting Rate from Return Line is expressed as Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent). Here is an example- 1.3E+8 = (1000*1.2/(604800*0.06))-(0.00462962962962963*0.2/0.06).

How to calculate Effluent Flow Rate given Wasting Rate from Return Line?

With Reactor Volume (V), MLSS (X), Mean Cell Residence Time (θ_c), Solid Concentration in Effluent (X_e), WAS Pumping Rate from Return Line (Q_w') & Sludge Concentration in Return Line (X_r) we can find Effluent Flow Rate given Wasting Rate from Return Line using the formula - Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent).

Can the Effluent Flow Rate given Wasting Rate from Return Line be negative?

No, the Effluent Flow Rate given Wasting Rate from Return Line, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Effluent Flow Rate given Wasting Rate from Return Line?

Effluent Flow Rate given Wasting Rate from Return Line 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 Effluent Flow Rate given Wasting Rate from Return Line can be measured.

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Effluent Flow Rate given Wasting Rate from Return Line Formula

Effluent Flow Rate given Wasting Rate from Return Line Example

Effluent Flow Rate given Wasting Rate from Return Line Solution

Effluent Flow Rate given Wasting Rate from Return Line Formula Elements

Other formulas in Effluent Substrate Concentration category

How to Evaluate Effluent Flow Rate given Wasting Rate from Return Line?

FAQs on Effluent Flow Rate given Wasting Rate from Return Line

Variable Name