Average Daily Influent Flow Rate given Theoretical Oxygen Requirement Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average daily influent flow rate = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*(Influent Substrate Concentration-Effluent substrate concentration)))
Q = (O2+(1.42*Px))*(f/(8.34*(So-S)))
This formula uses 6 Variables
Variables Used
Average daily influent flow rate - (Measured in Cubic Meter per Second) - Average daily influent flow rate is the total discharge that comes in the reactor.
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.
Net waste activated sludge - (Measured in Kilogram per Second) - Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process.
BOD conversion factor - BOD conversion factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD.
Influent Substrate Concentration - (Measured in Kilogram per Cubic Meter) - Influent Substrate Concentration is the concentration of BOD that is present in the influent.
Effluent substrate concentration - (Measured in Kilogram per Cubic Meter) - Effluent substrate concentration is the concentration of the BOD present in the effluent.
STEP 1: Convert Input(s) to Base Unit
Theoretical Oxygen Requirement: 2.5 Milligram per Day --> 2.89351851851852E-11 Kilogram per Second (Check conversion here)
Net waste activated sludge: 20 Milligram per Day --> 2.31481481481481E-10 Kilogram per Second (Check conversion here)
BOD conversion factor: 0.68 --> No Conversion Required
Influent Substrate Concentration: 25 Milligram per Liter --> 0.025 Kilogram per Cubic Meter (Check conversion here)
Effluent substrate concentration: 15 Milligram per Liter --> 0.015 Kilogram per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (O2+(1.42*Px))*(f/(8.34*(So-S))) --> (2.89351851851852E-11+(1.42*2.31481481481481E-10))*(0.68/(8.34*(0.025-0.015)))
Evaluating ... ...
Q = 2.916000532907E-09
STEP 3: Convert Result to Output's Unit
2.916000532907E-09 Cubic Meter per Second -->0.000251942446043165 Cubic Meter per Day (Check conversion here)
FINAL ANSWER
0.000251942446043165 0.000252 Cubic Meter per Day <-- Average daily influent flow rate
(Calculation completed in 00.020 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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6 Average Daily Influent Flow Rate Calculators

Average Daily Influent Flow Rate given Reactor Volume
Go Average daily influent flow rate = Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time))/(Mean Cell Residence Time*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))
Average Daily Influent Flow Rate given Theoretical Oxygen Requirement
Go Average daily influent flow rate = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*(Influent Substrate Concentration-Effluent substrate concentration)))
Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank
Go Average daily influent flow rate = ((Sludge Concentration in Return Line/MLSS)*(Return Activated Sludge+WAS Pumping Rate from Return Line))-Return Activated Sludge
Average Daily Influent Flow Rate given Net Waste Activated Sludge
Go Average daily influent flow rate = Net waste activated sludge/(8.34*Observed Cell Yield*(Influent Substrate Concentration-Effluent substrate concentration))
Average Daily Influent Flow Rate using Recirculation Ratio
Go Average daily influent flow rate = Return Activated Sludge/Recirculation Ratio
Average Daily Influent Flow Rate given Hydraulic Retention Time
Go Average daily influent flow rate = Reactor Volume/Hydraulic retention time

Average Daily Influent Flow Rate given Theoretical Oxygen Requirement Formula

Average daily influent flow rate = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*(Influent Substrate Concentration-Effluent substrate concentration)))
Q = (O2+(1.42*Px))*(f/(8.34*(So-S)))

What is theoretical oxygen requirement?

The Theoretical oxygen requirement for the removal of the carbonaceous organic matter is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.

How to Calculate Average Daily Influent Flow Rate given Theoretical Oxygen Requirement?

Average Daily Influent Flow Rate given Theoretical Oxygen Requirement calculator uses Average daily influent flow rate = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*(Influent Substrate Concentration-Effluent substrate concentration))) to calculate the Average daily influent flow rate, The Average Daily Influent Flow Rate given Theoretical Oxygen Requirement is the total quantity of incoming sewage that enters the activated sludge process. Average daily influent flow rate is denoted by Q symbol.

How to calculate Average Daily Influent Flow Rate given Theoretical Oxygen Requirement using this online calculator? To use this online calculator for Average Daily Influent Flow Rate given Theoretical Oxygen Requirement, enter Theoretical Oxygen Requirement (O2), Net waste activated sludge (Px), BOD conversion factor (f), Influent Substrate Concentration (So) & Effluent substrate concentration (S) and hit the calculate button. Here is how the Average Daily Influent Flow Rate given Theoretical Oxygen Requirement calculation can be explained with given input values -> 21.76783 = (2.89351851851852E-11+(1.42*2.31481481481481E-10))*(0.68/(8.34*(0.025-0.015))).

FAQ

What is Average Daily Influent Flow Rate given Theoretical Oxygen Requirement?
The Average Daily Influent Flow Rate given Theoretical Oxygen Requirement is the total quantity of incoming sewage that enters the activated sludge process and is represented as Q = (O2+(1.42*Px))*(f/(8.34*(So-S))) or Average daily influent flow rate = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*(Influent Substrate Concentration-Effluent substrate concentration))). Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products, Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process, BOD conversion factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD, Influent Substrate Concentration is the concentration of BOD that is present in the influent & Effluent substrate concentration is the concentration of the BOD present in the effluent.
How to calculate Average Daily Influent Flow Rate given Theoretical Oxygen Requirement?
The Average Daily Influent Flow Rate given Theoretical Oxygen Requirement is the total quantity of incoming sewage that enters the activated sludge process is calculated using Average daily influent flow rate = (Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*(Influent Substrate Concentration-Effluent substrate concentration))). To calculate Average Daily Influent Flow Rate given Theoretical Oxygen Requirement, you need Theoretical Oxygen Requirement (O2), Net waste activated sludge (Px), BOD conversion factor (f), Influent Substrate Concentration (So) & Effluent substrate concentration (S). With our tool, you need to enter the respective value for Theoretical Oxygen Requirement, Net waste activated sludge, BOD conversion factor, Influent Substrate Concentration & Effluent substrate concentration 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 Average daily influent flow rate?
In this formula, Average daily influent flow rate uses Theoretical Oxygen Requirement, Net waste activated sludge, BOD conversion factor, Influent Substrate Concentration & Effluent substrate concentration. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Average daily influent flow rate = Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time))/(Mean Cell Residence Time*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))
  • Average daily influent flow rate = Reactor Volume/Hydraulic retention time
  • Average daily influent flow rate = Net waste activated sludge/(8.34*Observed Cell Yield*(Influent Substrate Concentration-Effluent substrate concentration))
  • Average daily influent flow rate = ((Sludge Concentration in Return Line/MLSS)*(Return Activated Sludge+WAS Pumping Rate from Return Line))-Return Activated Sludge
  • Average daily influent flow rate = Return Activated Sludge/Recirculation Ratio
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