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Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Calculator

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Volume of Wasted Sludge Important Formulas of Oxygen Requirement of the Aeration Tank BOD to Ultimate BOD BOD5 More >>

✖Sewage Discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+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]			+10% -10%
✖Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.ⓘ Ratio of BOD to Ultimate BOD [f]			+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%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%

✖Volume of Wasted Sludge is the amount of sludge that is removed or wasted from a wastewater treatment process on a daily basis.ⓘ Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank [Q_w']

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Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS)
V_w' = (((Q_s*(Q_i-Q))/f)-O₂)/(1.42*X)
This formula uses 7 Variables

Variables Used

Volume of Wasted Sludge - (Measured in Cubic Meter per Second) - Volume of Wasted Sludge is the amount of sludge that is removed or wasted from a wastewater treatment process on a daily basis.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
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.
Ratio of BOD to Ultimate BOD - Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.
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.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

STEP 1: Convert Input(s) to Base Unit

Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Influent BOD: 13.2 Milligram per Liter --> 0.0132 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
Ratio of BOD to Ultimate BOD: 3 --> No Conversion Required
Theoretical Oxygen Requirement: 2.5 Milligram per Day --> 2.89351851851852E-11 Kilogram per Second (Check conversion here)
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_w' = (((Q_s*(Q_i-Q))/f)-O₂)/(1.42*X) --> (((10*(0.0132-0.0004))/3)-2.89351851851852E-11)/(1.42*1.2)

Evaluating ... ...

V_w' = 0.0250391236136922

STEP 3: Convert Result to Output's Unit

0.0250391236136922 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0250391236136922 ≈ 0.025039 Cubic Meter per Second <-- Volume of Wasted Sludge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Oxygen Requirement of the Aeration Tanks » Volume of Wasted Sludge » Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Volume of Wasted Sludge Calculators

Volume of Wasted Sludge Per Day given Oxygen Demand and Ultimate BOD Both

Go Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 Days BOD/Ultimate BOD))-Theoretical Oxygen Requirement)/(Oxygen Demand of Biomass*MLSS)

Volume of Wasted Sludge Per Day given Oxygen Demand of Biomass

Go Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(Oxygen Demand of Biomass*MLSS)

Volume of Wasted Sludge Per Day given Ultimate BOD

Go Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 Days BOD/Ultimate BOD))-Theoretical Oxygen Requirement)/(1.42*MLSS)

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank

Go Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS)

< Important Formulas of Oxygen Requirement of the Aeration Tank Calculators

BOD5 given Oxygen Required in Aeration Tank

Go BOD5 given Oxygen Required in Aeration Tank = Ultimate BOD*(Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge))

BOD5 given Ratio of BOD to Ultimate BOD

Go BOD5 given Ratio of BOD to Ultimate BOD = Ratio of BOD to Ultimate BOD*Ultimate BOD

Ratio of BOD to Ultimate BOD

Go Ratio of BOD to Ultimate BOD = BOD of 5 days at 20° C/Ultimate BOD

BOD5 when Ratio of BOD to Ultimate BOD is 0.68

Go 5 Days BOD = Ultimate BOD*0.68

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Formula

Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS)
V_w' = (((Q_s*(Q_i-Q))/f)-O₂)/(1.42*X)

What is Sludge?

Sludge is a semi-solid slurry that can be produced from a range of industrial processes, from water treatment, wastewater treatment or on-site sanitation systems.

How to Calculate Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank calculator uses Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS) to calculate the Volume of Wasted Sludge, Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank formula is defined as the quantity of sludge wasted daily, which is influenced by the oxygen required in the aeration tank, and is a critical parameter in wastewater treatment processes to ensure efficient removal of organic matter. Volume of Wasted Sludge is denoted by Q_w' symbol.

How to calculate Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank using this online calculator? To use this online calculator for Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank, enter Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q), Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂) & MLSS (X) and hit the calculate button. Here is how the Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank calculation can be explained with given input values -> 0.025039 = (((10*(0.0132-0.0004))/3)-2.89351851851852E-11)/(1.42*1.2).

FAQ

What is Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank formula is defined as the quantity of sludge wasted daily, which is influenced by the oxygen required in the aeration tank, and is a critical parameter in wastewater treatment processes to ensure efficient removal of organic matter and is represented as V_w' = (((Q_s*(Q_i-Q))/f)-O₂)/(1.42*X) or Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS). Sewage Discharge is the flow rate of sewage when it is being discharged in the river, 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, Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod, Theoretical Oxygen Requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products & MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

How to calculate Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank formula is defined as the quantity of sludge wasted daily, which is influenced by the oxygen required in the aeration tank, and is a critical parameter in wastewater treatment processes to ensure efficient removal of organic matter is calculated using Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS). To calculate Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank, you need Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q), Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂) & MLSS (X). With our tool, you need to enter the respective value for Sewage Discharge, Influent BOD, Effluent BOD, Ratio of BOD to Ultimate BOD, Theoretical Oxygen Requirement & MLSS 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 Volume of Wasted Sludge?

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

Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(Oxygen Demand of Biomass*MLSS)
Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 Days BOD/Ultimate BOD))-Theoretical Oxygen Requirement)/(1.42*MLSS)
Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 Days BOD/Ultimate BOD))-Theoretical Oxygen Requirement)/(Oxygen Demand of Biomass*MLSS)

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