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Sewage Discharge given Oxygen Demand of Biomass Formula

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Sewage Discharge given Oxygen Demand of Biomass is the volume or rate at which sewage is released or treated based on the oxygen demand required by the biomass present in the sewage. Check FAQs

Q sb = (\frac{f \cdot (O 2 + (D O2 \cdot Q w \cdot X R))}{Q i - Q})

Q_sb - Sewage Discharge given Oxygen Demand of Biomass?f - Ratio of BOD to Ultimate BOD?O₂ - Theoretical Oxygen Requirement?D^O2 - Oxygen Demand of Biomass?Q_w - Volume of Wasted Sludge per day?X^R - MLSS in Returned or Wasted Sludge?Q_i - Influent BOD?Q - Effluent BOD?

Sewage Discharge given Oxygen Demand of Biomass Example

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Here is how the Sewage Discharge given Oxygen Demand of Biomass equation looks like with Values.

Here is how the Sewage Discharge given Oxygen Demand of Biomass equation looks like with Units.

Here is how the Sewage Discharge given Oxygen Demand of Biomass equation looks like.

6.2967 = (\frac{3 \cdot (2.5 + (2.02 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

6.2967m³/s = (\frac{3 \cdot (2.5mg/d + (2.02 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

6.2967 = (\frac{3 \cdot (2.5 + (2.02 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

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Sewage Discharge given Oxygen Demand of Biomass Solution

Follow our step by step solution on how to calculate Sewage Discharge given Oxygen Demand of Biomass?

FIRST Step Consider the formula

Q sb = (\frac{f \cdot (O 2 + (D O2 \cdot Q w \cdot X R))}{Q i - Q})

Next Step Substitute values of Variables

∴

Q sb = (\frac{3 \cdot (2.5mg/d + (2.02 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

Next Step Convert Units

∴

Q sb = (\frac{3 \cdot (2.9E-11kg/s + (2.02 \cdot 9.5m³/s \cdot 0.0014kg/m³))}{0.0132kg/m³ - 0.0004kg/m³})

Next Step Prepare to Evaluate

∴

Q sb = (\frac{3 \cdot (2.9E-11 + (2.02 \cdot 9.5 \cdot 0.0014))}{0.0132 - 0.0004})

Next Step Evaluate

∴

Q sb = 6.29671875678168m³/s

LAST Step Rounding Answer

∴

Q sb = 6.2967m³/s

Sewage Discharge given Oxygen Demand of Biomass Formula Elements

Variables

Sewage Discharge given Oxygen Demand of Biomass

Sewage Discharge given Oxygen Demand of Biomass is the volume or rate at which sewage is released or treated based on the oxygen demand required by the biomass present in the sewage.

Symbol: Q_sb

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Discharge given Oxygen Demand of Biomass

Ratio of BOD to Ultimate BOD

Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of BOD to Ultimate BOD

Theoretical Oxygen Requirement

Theoretical Oxygen Requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.

Symbol: O₂

Measurement: Mass Flow RateUnit: mg/d

Note: Value should be greater than 0.

Formulas to find Theoretical Oxygen Requirement

Oxygen Demand of Biomass

Oxygen Demand of Biomass is the amount of oxygen required by the microorganisms to decompose organic matter present in biomass.

Symbol: D^O2

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Oxygen Demand of Biomass

Volume of Wasted Sludge per day

Volume of Wasted Sludge per day is the amount of sludge that is removed or wasted from a wastewater treatment process on a daily basis.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volume of Wasted Sludge per day

MLSS in Returned or Wasted Sludge

MLSS in Returned or Wasted Sludge is the mixed liquor suspended solids in returned sludge in terms of mg per liter.

Symbol: X^R

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find MLSS in Returned or Wasted Sludge

Influent BOD

Influent BOD is the total amount of BOD which is present in the incoming sewage.

Symbol: Q_i

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Influent BOD

Effluent BOD

Effluent BOD is the amount of BOD present in the outing sewage.

Symbol: Q

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent BOD

Other formulas in Sewage Discharge category

Go Sewage Discharge given Oxygen Required in Aeration Tank

Q oxy = (\frac{f \cdot (O 2 + (1.42 \cdot Q w \cdot X R))}{Q i - Q})

Go Sewage Discharge given Ultimate BOD

Q ui = (\frac{(\frac{BOD5}{BOD u}) \cdot (O 2 + (1.42 \cdot Q w \cdot X R))}{Q i - Q})

How to Evaluate Sewage Discharge given Oxygen Demand of Biomass?

Sewage Discharge given Oxygen Demand of Biomass evaluator uses Sewage Discharge given Oxygen Demand of Biomass = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)) to evaluate the Sewage Discharge given Oxygen Demand of Biomass, The Sewage Discharge given Oxygen Demand of Biomass is defined as the calculation of sewage discharge when we have prior information of oxygen demand of biomass. Sewage Discharge given Oxygen Demand of Biomass is denoted by Q_sb symbol.

How to evaluate Sewage Discharge given Oxygen Demand of Biomass using this online evaluator? To use this online evaluator for Sewage Discharge given Oxygen Demand of Biomass, enter Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂), Oxygen Demand of Biomass (D^O2), Volume of Wasted Sludge per day (Q_w), MLSS in Returned or Wasted Sludge (X^R), Influent BOD (Q_i) & Effluent BOD (Q) and hit the calculate button.

FAQs on Sewage Discharge given Oxygen Demand of Biomass

What is the formula to find Sewage Discharge given Oxygen Demand of Biomass?

The formula of Sewage Discharge given Oxygen Demand of Biomass is expressed as Sewage Discharge given Oxygen Demand of Biomass = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)). Here is an example- 6.296719 = ((3*(2.89351851851852E-11+(2.02*9.5*0.0014)))/(0.0132-0.0004)).

How to calculate Sewage Discharge given Oxygen Demand of Biomass?

With Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂), Oxygen Demand of Biomass (D^O2), Volume of Wasted Sludge per day (Q_w), MLSS in Returned or Wasted Sludge (X^R), Influent BOD (Q_i) & Effluent BOD (Q) we can find Sewage Discharge given Oxygen Demand of Biomass using the formula - Sewage Discharge given Oxygen Demand of Biomass = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)).

Can the Sewage Discharge given Oxygen Demand of Biomass be negative?

No, the Sewage Discharge given Oxygen Demand of Biomass, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Sewage Discharge given Oxygen Demand of Biomass?

Sewage Discharge given Oxygen Demand of Biomass is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Sewage Discharge given Oxygen Demand of Biomass can be measured.

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Sewage Discharge given Oxygen Demand of Biomass Formula

Sewage Discharge given Oxygen Demand of Biomass Example

Sewage Discharge given Oxygen Demand of Biomass Solution

Sewage Discharge given Oxygen Demand of Biomass Formula Elements

Other formulas in Sewage Discharge category

How to Evaluate Sewage Discharge given Oxygen Demand of Biomass?

FAQs on Sewage Discharge given Oxygen Demand of Biomass

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