Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average daily influent flow rate = ((Sludge Concentration in Return Line/MLSS)*(Return Activated Sludge+WAS Pumping Rate from Return Line))-Return Activated Sludge
Q = ((Xr/X)*(Qr+Qw'))-Qr
This formula uses 5 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.
Sludge Concentration in Return Line - (Measured in Kilogram per Cubic Meter) - Sludge Concentration in Return Line is the total BOD that is present in the return line.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Return Activated Sludge - (Measured in Cubic Meter per Second) - Return activated sludge flow rate will vary with each installation and with different load factors.
WAS Pumping Rate from Return Line - (Measured in Cubic Meter per Second) - WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.
STEP 1: Convert Input(s) to Base Unit
Sludge Concentration in Return Line: 200 Milligram per Liter --> 0.2 Kilogram per Cubic Meter (Check conversion ​here)
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion ​here)
Return Activated Sludge: 10 Cubic Meter per Day --> 0.000115740740740741 Cubic Meter per Second (Check conversion ​here)
WAS Pumping Rate from Return Line: 400 Cubic Meter per Day --> 0.00462962962962963 Cubic Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = ((Xr/X)*(Qr+Qw'))-Qr --> ((0.2/1.2)*(0.000115740740740741+0.00462962962962963))-0.000115740740740741
Evaluating ... ...
Q = 0.000675154320987654
STEP 3: Convert Result to Output's Unit
0.000675154320987654 Cubic Meter per Second -->58.3333333333333 Cubic Meter per Day (Check conversion ​here)
FINAL ANSWER
58.3333333333333 58.33333 Cubic Meter per Day <-- Average daily influent flow rate
(Calculation completed in 00.004 seconds)

Credits

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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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 RAS Pumping Rate from Aeration Tank Formula

Average daily influent flow rate = ((Sludge Concentration in Return Line/MLSS)*(Return Activated Sludge+WAS Pumping Rate from Return Line))-Return Activated Sludge
Q = ((Xr/X)*(Qr+Qw'))-Qr

What is aeration tank?

Aeration tank where air (or oxygen) is injected in the mixed liquor. Settling tank (usually referred to as "final clarifier" or "secondary settling tank") to allow the biological flocs (the sludge blanket) to settle, thus separating the biological sludge from the clear treated water.

How to Calculate Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank?

Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank calculator uses Average daily influent flow rate = ((Sludge Concentration in Return Line/MLSS)*(Return Activated Sludge+WAS Pumping Rate from Return Line))-Return Activated Sludge to calculate the Average daily influent flow rate, The Average daily influent flow rate given RAS pumping rate from aeration tank is the total amount of influent sludge that enters the reactor daily. Average daily influent flow rate is denoted by Q symbol.

How to calculate Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank using this online calculator? To use this online calculator for Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank, enter Sludge Concentration in Return Line (Xr), MLSS (X), Return Activated Sludge (Qr) & WAS Pumping Rate from Return Line (Qw') and hit the calculate button. Here is how the Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank calculation can be explained with given input values -> 2.7E+6 = ((0.2/1.2)*(0.000115740740740741+0.00462962962962963))-0.000115740740740741.

FAQ

What is Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank?
The Average daily influent flow rate given RAS pumping rate from aeration tank is the total amount of influent sludge that enters the reactor daily and is represented as Q = ((Xr/X)*(Qr+Qw'))-Qr or Average daily influent flow rate = ((Sludge Concentration in Return Line/MLSS)*(Return Activated Sludge+WAS Pumping Rate from Return Line))-Return Activated Sludge. Sludge Concentration in Return Line is the total BOD that is present in the return line, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Return activated sludge flow rate will vary with each installation and with different load factors & WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.
How to calculate Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank?
The Average daily influent flow rate given RAS pumping rate from aeration tank is the total amount of influent sludge that enters the reactor daily is calculated using Average daily influent flow rate = ((Sludge Concentration in Return Line/MLSS)*(Return Activated Sludge+WAS Pumping Rate from Return Line))-Return Activated Sludge. To calculate Average Daily Influent Flow Rate given RAS Pumping Rate from Aeration Tank, you need Sludge Concentration in Return Line (Xr), MLSS (X), Return Activated Sludge (Qr) & WAS Pumping Rate from Return Line (Qw'). With our tool, you need to enter the respective value for Sludge Concentration in Return Line, MLSS, Return Activated Sludge & WAS Pumping Rate from Return Line 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 Sludge Concentration in Return Line, MLSS, Return Activated Sludge & WAS Pumping Rate from Return Line. 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 = (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 = Return Activated Sludge/Recirculation Ratio
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