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Sewage Discharge given Ultimate BOD Formula

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Sewage Discharge given Ultimate BOD is the volume or rate of sewage flow that corresponds to a specified Ultimate Biochemical Oxygen Demand (BOD). Check FAQs

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

Q_ui - Sewage Discharge given Ultimate BOD?BOD5 - 5 Days BOD?BOD^u - Ultimate BOD?O₂ - Theoretical Oxygen Requirement?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 Ultimate BOD Example

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With units

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Here is how the Sewage Discharge given Ultimate BOD equation looks like with Values.

Here is how the Sewage Discharge given Ultimate BOD equation looks like with Units.

Here is how the Sewage Discharge given Ultimate BOD equation looks like.

1.0033 = (\frac{(\frac{1.36}{2}) \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

1.0033m³/s = (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

1.0033 = (\frac{(\frac{1.36}{2}) \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

Tip: Use pencil () icon above to edit Input Values and Units.

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Sewage Discharge given Ultimate BOD Solution

Follow our step by step solution on how to calculate Sewage Discharge given Ultimate BOD?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q ui = (\frac{(\frac{1.36mg/L}{2mg/L}) \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

Next Step Convert Units

∴

Q ui = (\frac{(\frac{0.0014kg/m³}{0.002kg/m³}) \cdot (2.9E-11kg/s + (1.42 \cdot 9.5m³/s \cdot 0.0014kg/m³))}{0.0132kg/m³ - 0.0004kg/m³})

Next Step Prepare to Evaluate

∴

Q ui = (\frac{(\frac{0.0014}{0.002}) \cdot (2.9E-11 + (1.42 \cdot 9.5 \cdot 0.0014))}{0.0132 - 0.0004})

Next Step Evaluate

∴

Q ui = 1.00331875153718m³/s

LAST Step Rounding Answer

∴

Q ui = 1.0033m³/s

Sewage Discharge given Ultimate BOD Formula Elements

Variables

Sewage Discharge given Ultimate BOD

Sewage Discharge given Ultimate BOD is the volume or rate of sewage flow that corresponds to a specified Ultimate Biochemical Oxygen Demand (BOD).

Symbol: Q_ui

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

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.

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.

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.

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.

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.

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.

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.

Credits

Creator Image

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verifier Image

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

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 Ultimate BOD?

Sewage Discharge given Ultimate BOD evaluator uses Sewage Discharge given Ultimate BOD = (((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)) to evaluate the Sewage Discharge given Ultimate BOD, The Sewage Discharge given Ultimate BOD formula is defined as the calculation of sewage discharge when we have prior information of ultimate BOD. Sewage Discharge given Ultimate BOD is denoted by Q_ui symbol.

How to evaluate Sewage Discharge given Ultimate BOD using this online evaluator? To use this online evaluator for Sewage Discharge given Ultimate BOD, enter 5 Days BOD (BOD5), Ultimate BOD (BOD^u), Theoretical Oxygen Requirement (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 Ultimate BOD

What is the formula to find Sewage Discharge given Ultimate BOD?

The formula of Sewage Discharge given Ultimate BOD is expressed as Sewage Discharge given Ultimate BOD = (((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)). Here is an example- 1.003319 = (((0.00136/0.002)*(2.89351851851852E-11+(1.42*9.5*0.0014)))/(0.0132-0.0004)).

How to calculate Sewage Discharge given Ultimate BOD?

With 5 Days BOD (BOD5), Ultimate BOD (BOD^u), Theoretical Oxygen Requirement (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 Ultimate BOD using the formula - Sewage Discharge given Ultimate BOD = (((5 Days BOD/Ultimate BOD)*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)).

Can the Sewage Discharge given Ultimate BOD be negative?

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

Which unit is used to measure Sewage Discharge given Ultimate BOD?

Sewage Discharge given Ultimate BOD 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 Ultimate BOD can be measured.

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