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Sewage Discharge given Oxygen Demand and Ultimate BOD Both Formula

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Sewage Discharge given Oxygen Demand is a measure used to determine the volume of sewage that can be discharged based on its oxygen demand and the ultimate Biochemical Oxygen Demand (BOD). Check FAQs

Q od = (\frac{(\frac{BOD5}{BOD u}) \cdot (O r + (D O2 \cdot Q w \cdot X R))}{Q i - Q})

Q_od - Sewage Discharge given Oxygen Demand?BOD5 - 5 Days BOD?BOD^u - Ultimate BOD?O_r - Oxygen Required?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 and Ultimate BOD Both Example

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Here is how the Sewage Discharge given Oxygen Demand and Ultimate BOD Both equation looks like with Values.

Here is how the Sewage Discharge given Oxygen Demand and Ultimate BOD Both equation looks like with Units.

Here is how the Sewage Discharge given Oxygen Demand and Ultimate BOD Both equation looks like.

1.4273 = (\frac{(\frac{1.36}{2}) \cdot (0.16 + (2.02 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

1.4273m³/s = (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (0.16mg/d + (2.02 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

1.4273 = (\frac{(\frac{1.36}{2}) \cdot (0.16 + (2.02 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

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Sewage Discharge given Oxygen Demand and Ultimate BOD Both Solution

Follow our step by step solution on how to calculate Sewage Discharge given Oxygen Demand and Ultimate BOD Both?

FIRST Step Consider the formula

Q od = (\frac{(\frac{BOD5}{BOD u}) \cdot (O r + (D O2 \cdot Q w \cdot X R))}{Q i - Q})

Next Step Substitute values of Variables

∴

Q od = (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (0.16mg/d + (2.02 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

Next Step Convert Units

∴

Q od = (\frac{(\frac{0.0014kg/m³}{0.002kg/m³}) \cdot (1.9E-12kg/s + (2.02 \cdot 9.5m³/s \cdot 0.0014kg/m³))}{0.0132kg/m³ - 0.0004kg/m³})

Next Step Prepare to Evaluate

∴

Q od = (\frac{(\frac{0.0014}{0.002}) \cdot (1.9E-12 + (2.02 \cdot 9.5 \cdot 0.0014))}{0.0132 - 0.0004})

Next Step Evaluate

∴

Q od = 1.42725625009838m³/s

LAST Step Rounding Answer

∴

Q od = 1.4273m³/s

Sewage Discharge given Oxygen Demand and Ultimate BOD Both Formula Elements

Variables

Sewage Discharge given Oxygen Demand

Sewage Discharge given Oxygen Demand is a measure used to determine the volume of sewage that can be discharged based on its oxygen demand and the ultimate Biochemical Oxygen Demand (BOD).

Symbol: Q_od

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Discharge given Oxygen Demand

5 Days BOD

5 Days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C.

Symbol: BOD5

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find 5 Days BOD

Ultimate BOD

Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time.

Symbol: BOD^u

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Ultimate BOD

Oxygen Required

Oxygen Required is the amount of oxygen needed to sustain biological processes in an aeration tank, which is a critical component of wastewater treatment systems.

Symbol: O_r

Measurement: Mass Flow RateUnit: mg/d

Note: Value should be greater than 0.

Formulas to find Oxygen Required

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 Oxygen Demand of Biomass

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

How to Evaluate Sewage Discharge given Oxygen Demand and Ultimate BOD Both?

Sewage Discharge given Oxygen Demand and Ultimate BOD Both evaluator uses Sewage Discharge given Oxygen Demand = (((5 Days BOD/Ultimate BOD)*(Oxygen Required+(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, The Sewage Discharge given Oxygen Demand and Ultimate BOD Both formula is defined as the calculation of sewage discharge when we have prior information of oxygen demand and ultimate BOD both. Sewage Discharge given Oxygen Demand is denoted by Q_od symbol.

How to evaluate Sewage Discharge given Oxygen Demand and Ultimate BOD Both using this online evaluator? To use this online evaluator for Sewage Discharge given Oxygen Demand and Ultimate BOD Both, enter 5 Days BOD (BOD5), Ultimate BOD (BOD^u), Oxygen Required (O_r), 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 and Ultimate BOD Both

What is the formula to find Sewage Discharge given Oxygen Demand and Ultimate BOD Both?

The formula of Sewage Discharge given Oxygen Demand and Ultimate BOD Both is expressed as Sewage Discharge given Oxygen Demand = (((5 Days BOD/Ultimate BOD)*(Oxygen Required+(Oxygen Demand of Biomass*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)). Here is an example- 1.427256 = (((0.00136/0.002)*(1.85185185185185E-12+(2.02*9.5*0.0014)))/(0.0132-0.0004)).

How to calculate Sewage Discharge given Oxygen Demand and Ultimate BOD Both?

With 5 Days BOD (BOD5), Ultimate BOD (BOD^u), Oxygen Required (O_r), 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 and Ultimate BOD Both using the formula - Sewage Discharge given Oxygen Demand = (((5 Days BOD/Ultimate BOD)*(Oxygen Required+(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 and Ultimate BOD Both be negative?

No, the Sewage Discharge given Oxygen Demand and Ultimate BOD Both, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Sewage Discharge given Oxygen Demand and Ultimate BOD Both?

Sewage Discharge given Oxygen Demand and Ultimate BOD Both 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 and Ultimate BOD Both can be measured.

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Sewage Discharge given Oxygen Demand and Ultimate BOD Both Formula

Sewage Discharge given Oxygen Demand and Ultimate BOD Both Example

Sewage Discharge given Oxygen Demand and Ultimate BOD Both Solution

Sewage Discharge given Oxygen Demand and Ultimate BOD Both Formula Elements

Other formulas in Sewage Discharge category

How to Evaluate Sewage Discharge given Oxygen Demand and Ultimate BOD Both?

FAQs on Sewage Discharge given Oxygen Demand and Ultimate BOD Both

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