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Sludge Recirculation Rate given MLSS and SVI Formula

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Sludge Recirculation Rate given MLSS is the rate at which sludge is returned from the secondary clarifier to the aeration tank in a wastewater treatment plant. Check FAQs

Q r' = Q s \cdot (\frac{X}{(\frac{10^{6}}{SVI s}) - X})

Q_r' - Sludge Recirculation Rate given MLSS?Q_s - Sewage Discharge?X - MLSS?SVI_s - Sludge Volume Index given Sewage Discharge?

Sludge Recirculation Rate given MLSS and SVI Example

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Here is how the Sludge Recirculation Rate given MLSS and SVI equation looks like with Values.

Here is how the Sludge Recirculation Rate given MLSS and SVI equation looks like with Units.

Here is how the Sludge Recirculation Rate given MLSS and SVI equation looks like.

0.5184 = 10 \cdot (\frac{1200}{(\frac{10^{6}}{0.5}) - 1200})

0.5184m³/d = 10m³/s \cdot (\frac{1200mg/L}{(\frac{10^{6}}{0.5L/g}) - 1200mg/L})

0.5184 = 10 \cdot (\frac{1200}{(\frac{10^{6}}{0.5}) - 1200})

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Sludge Recirculation Rate given MLSS and SVI Solution

Follow our step by step solution on how to calculate Sludge Recirculation Rate given MLSS and SVI?

FIRST Step Consider the formula

Q r' = Q s \cdot (\frac{X}{(\frac{10^{6}}{SVI s}) - X})

Next Step Substitute values of Variables

∴

Q r' = 10m³/s \cdot (\frac{1200mg/L}{(\frac{10^{6}}{0.5L/g}) - 1200mg/L})

Next Step Convert Units

∴

Q r' = 10m³/s \cdot (\frac{1.2kg/m³}{(\frac{10^{6}}{0.5m³/kg}) - 1.2kg/m³})

Next Step Prepare to Evaluate

∴

Q r' = 10 \cdot (\frac{1.2}{(\frac{10^{6}}{0.5}) - 1.2})

Next Step Evaluate

∴

Q r' = 6.00000360000216E-06m³/s

Next Step Convert to Output's Unit

∴

Q r' = 0.518400311040187m³/d

LAST Step Rounding Answer

∴

Q r' = 0.5184m³/d

Sludge Recirculation Rate given MLSS and SVI Formula Elements

Variables

Sludge Recirculation Rate given MLSS

Sludge Recirculation Rate given MLSS is the rate at which sludge is returned from the secondary clarifier to the aeration tank in a wastewater treatment plant.

Symbol: Q_r'

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Sludge Recirculation Rate given MLSS

Sewage Discharge

Sewage discharge is the flow rate of sewage when it is being discharged in the river.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Discharge

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

Sludge Volume Index given Sewage Discharge

Sludge Volume Index given Sewage Discharge is the ratio of volume to MLSS.

Symbol: SVI_s

Measurement: Specific VolumeUnit: L/g

Note: Value should be greater than 0.

Formulas to find Sludge Volume Index given Sewage Discharge

Other formulas in Sludge Recirculation Ratio category

Go Sludge Recirculation Ratio

α = \frac{Q r}{Q s}

Go Sludge Recirculation Rate given Sludge Recirculation Ratio

Qr' = α \cdot C s

Go Sludge Recirculation Ratio given Sludge Volume Index

α = (\frac{SSV}{X'}) \cdot 1000

How to Evaluate Sludge Recirculation Rate given MLSS and SVI?

Sludge Recirculation Rate given MLSS and SVI evaluator uses Sludge Recirculation Rate given MLSS = Sewage Discharge*(MLSS/(((10^6)/Sludge Volume Index given Sewage Discharge)-MLSS)) to evaluate the Sludge Recirculation Rate given MLSS, The Sludge Recirculation Rate given MLSS and SVI formula is defined as the calculation of value of sludge recirculation rate when we have prior information of MLSS and SVI. Sludge Recirculation Rate given MLSS is denoted by Q_r' symbol.

How to evaluate Sludge Recirculation Rate given MLSS and SVI using this online evaluator? To use this online evaluator for Sludge Recirculation Rate given MLSS and SVI, enter Sewage Discharge (Q_s), MLSS (X) & Sludge Volume Index given Sewage Discharge (SVI_s) and hit the calculate button.

FAQs on Sludge Recirculation Rate given MLSS and SVI

What is the formula to find Sludge Recirculation Rate given MLSS and SVI?

The formula of Sludge Recirculation Rate given MLSS and SVI is expressed as Sludge Recirculation Rate given MLSS = Sewage Discharge*(MLSS/(((10^6)/Sludge Volume Index given Sewage Discharge)-MLSS)). Here is an example- 44789.79 = 10*(1.2/(((10^6)/0.5)-1.2)).

How to calculate Sludge Recirculation Rate given MLSS and SVI?

With Sewage Discharge (Q_s), MLSS (X) & Sludge Volume Index given Sewage Discharge (SVI_s) we can find Sludge Recirculation Rate given MLSS and SVI using the formula - Sludge Recirculation Rate given MLSS = Sewage Discharge*(MLSS/(((10^6)/Sludge Volume Index given Sewage Discharge)-MLSS)).

Can the Sludge Recirculation Rate given MLSS and SVI be negative?

No, the Sludge Recirculation Rate given MLSS and SVI, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Sludge Recirculation Rate given MLSS and SVI?

Sludge Recirculation Rate given MLSS and SVI 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 Sludge Recirculation Rate given MLSS and SVI can be measured.

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Sludge Recirculation Rate given MLSS and SVI Formula

Sludge Recirculation Rate given MLSS and SVI Example

Sludge Recirculation Rate given MLSS and SVI Solution

Sludge Recirculation Rate given MLSS and SVI Formula Elements

Other formulas in Sludge Recirculation Ratio category

How to Evaluate Sludge Recirculation Rate given MLSS and SVI?

FAQs on Sludge Recirculation Rate given MLSS and SVI

Variable Name