Sewage Discharge given Ultimate BOD Calculator

✖5 days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C.ⓘ 5 days BOD [BOD5]			+10% -10%
✖Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time.ⓘ Ultimate BOD [BOD^u]			+10% -10%
✖Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.ⓘ Theoretical Oxygen Requirement [O₂]			+10% -10%
✖Volume of wasted sludge per day is measured in terms of discharge.ⓘ Volume of Wasted Sludge per day [Q_w]			+10% -10%
✖MLSS in returned or wasted sludge is the mixed liquor suspended solids in returned sludge in terms of mg per litre.ⓘ MLSS in returned or wasted sludge [X^R]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%

✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge given Ultimate BOD [Q_s]

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Formula

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Sewage Discharge given Ultimate BOD

Formula

`"Q"_{"s"} = ((("BOD5"/"BOD"^{"u"})*("O"_{"2"}+(1.42*"Q"_{"w"}*"X"^{"R"})))/("Q"_{"i"}-"Q"_{"o"}))`

Example

`"2.498148m³/s"=((("2mg/L"/"2mg/L")*("2.5mg/d"+(1.42*"9.5m³/s"*"2mg/L")))/("11.2mg/L"-"0.4mg/L"))`

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Sewage Discharge given Ultimate BOD Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sewage Discharge = (((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))
Q_s = (((BOD5/BOD^u)*(O₂+(1.42*Q_w*X^R)))/(Q_i-Q_o))
This formula uses 8 Variables

Variables Used

Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.
5 days BOD - (Measured in Kilogram per Cubic Meter) - 5 days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C.
Ultimate BOD - (Measured in Kilogram per Cubic Meter) - Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time.
Theoretical Oxygen Requirement - (Measured in Kilogram per Second) - Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.
Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of wasted sludge per day is measured in terms of discharge.
MLSS in returned or wasted sludge - (Measured in Kilogram per Cubic Meter) - MLSS in returned or wasted sludge is the mixed liquor suspended solids in returned sludge in terms of mg per litre.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.

STEP 1: Convert Input(s) to Base Unit

5 days BOD: 2 Milligram per Liter --> 0.002 Kilogram per Cubic Meter (Check conversion here)
Ultimate BOD: 2 Milligram per Liter --> 0.002 Kilogram per Cubic Meter (Check conversion here)
Theoretical Oxygen Requirement: 2.5 Milligram per Day --> 2.89351851851852E-11 Kilogram per Second (Check conversion here)
Volume of Wasted Sludge per day: 9.5 Cubic Meter per Second --> 9.5 Cubic Meter per Second No Conversion Required
MLSS in returned or wasted sludge: 2 Milligram per Liter --> 0.002 Kilogram per Cubic Meter (Check conversion here)
Influent BOD: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = (((BOD5/BOD^u)*(O₂+(1.42*Q_w*X^R)))/(Q_i-Q_o)) --> (((0.002/0.002)*(2.89351851851852E-11+(1.42*9.5*0.002)))/(0.0112-0.0004))

Evaluating ... ...

Q_s = 2.49814815082733

STEP 3: Convert Result to Output's Unit

2.49814815082733 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2.49814815082733 ≈ 2.498148 Cubic Meter per Second <-- Sewage Discharge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 4 Sewage Discharge Calculators

Sewage Discharge given Oxygen Demand and Ultimate BOD Both

Go Sewage Discharge = (((5 days BOD/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))

Sewage Discharge given Oxygen Demand of Biomass

Go Sewage Discharge = ((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))

Sewage Discharge given Ultimate BOD

Go Sewage Discharge = (((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))

Sewage Discharge given Oxygen Required in Aeration Tank

Go Sewage Discharge = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)))/(Influent BOD-Effluent BOD))

Sewage Discharge given Ultimate BOD Formula

What is sewage ?

Sewage, or domestic/municipal wastewater, is a type of wastewater that is produced by a community of people. It is characterized by volume or rate of flow, physical condition, chemical and toxic constituents, and its bacteriologic status (which organisms it contains and in what quantities).

How to Calculate Sewage Discharge given Ultimate BOD?

Sewage Discharge given Ultimate BOD calculator uses Sewage Discharge = (((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 calculate the Sewage Discharge, Sewage Discharge given Ultimate BOD calculates sewage discharge when we have prior information of other parameters used. Sewage Discharge is denoted by Q_s symbol.

How to calculate Sewage Discharge given Ultimate BOD using this online calculator? To use this online calculator 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_o) and hit the calculate button. Here is how the Sewage Discharge given Ultimate BOD calculation can be explained with given input values -> 2.498148 = (((0.002/0.002)*(2.89351851851852E-11+(1.42*9.5*0.002)))/(0.0112-0.0004)).

FAQ

What is Sewage Discharge given Ultimate BOD?

Sewage Discharge given Ultimate BOD calculates sewage discharge when we have prior information of other parameters used and is represented as Q_s = (((BOD5/BOD^u)*(O₂+(1.42*Q_w*X^R)))/(Q_i-Q_o)) or Sewage Discharge = (((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)). 5 days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C, Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time, Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products, Volume of wasted sludge per day is measured in terms of discharge, MLSS in returned or wasted sludge is the mixed liquor suspended solids in returned sludge in terms of mg per litre, Influent BOD is the total amount of BOD which is present in the incoming sewage & Effluent BOD is the amount of BOD present in the outing sewage.

How to calculate Sewage Discharge given Ultimate BOD?

Sewage Discharge given Ultimate BOD calculates sewage discharge when we have prior information of other parameters used is calculated using Sewage Discharge = (((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 calculate Sewage Discharge given Ultimate BOD, you need 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_o). With our tool, you need to enter the respective value for 5 days BOD, Ultimate BOD, Theoretical Oxygen Requirement, Volume of Wasted Sludge per day, MLSS in returned or wasted sludge, Influent BOD & Effluent BOD and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sewage Discharge?

In this formula, Sewage Discharge uses 5 days BOD, Ultimate BOD, Theoretical Oxygen Requirement, Volume of Wasted Sludge per day, MLSS in returned or wasted sludge, Influent BOD & Effluent BOD. We can use 3 other way(s) to calculate the same, which is/are as follows -

Sewage Discharge = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)))/(Influent BOD-Effluent BOD))
Sewage Discharge = ((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))
Sewage Discharge = (((5 days BOD/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))

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