Average Daily Influent Flow Rate given Reactor Volume Calculator

✖The Reactor Volume gives us the capacity of the reactor.ⓘ Reactor Volume [V]			+10% -10%
✖MLVSS is the concentration of microorganisms in the reactor.ⓘ MLVSS [X_a]			+10% -10%
✖Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS.ⓘ Endogenous decay coefficient [k_d]			+10% -10%
✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%
✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Influent Substrate Concentration is the concentration of BOD that is present in the influent.ⓘ Influent Substrate Concentration [S_o]			+10% -10%
✖Effluent substrate concentration is the concentration of the BOD present in the effluent.ⓘ Effluent substrate concentration [S]			+10% -10%

✖Average daily influent flow rate is the total discharge that comes in the reactor.ⓘ Average Daily Influent Flow Rate given Reactor Volume [Q]

⎘ Copy

👎

Formula

✖

Average Daily Influent Flow Rate given Reactor Volume

Formula

`"Q" = "V"*"X"_{"a"}*(1+("k"_{"d"}*"θ"_{"c"}))/("θ"_{"c"}*"Y"*("S"_{"o"}-"S"))`

Example

`"96428.57m³/d"="1000m³"*"2500mg/L"*(1+("0.050d⁻¹"*"7d"))/("7d"*"0.5"*("25mg/L"-"15mg/L"))`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Average Daily Influent Flow Rate given Reactor Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q = V*X_a*(1+(k_d*θ_c))/(θ_c*Y*(S_o-S))
This formula uses 8 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.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
MLVSS - (Measured in Kilogram per Cubic Meter) - MLVSS is the concentration of microorganisms in the reactor.
Endogenous decay coefficient - (Measured in 1 Per Second) - Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS.
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
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

Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
MLVSS: 2500 Milligram per Liter --> 2.5 Kilogram per Cubic Meter (Check conversion here)
Endogenous decay coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
Maximum Yield Coefficient: 0.5 --> 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 = V*X_a*(1+(k_d*θ_c))/(θ_c*Y*(S_o-S)) --> 1000*2.5*(1+(5.78703703703704E-07*604800))/(604800*0.5*(0.025-0.015))

Evaluating ... ...

Q = 1.11607142857143

STEP 3: Convert Result to Output's Unit

1.11607142857143 Cubic Meter per Second -->96428.5714285714 Cubic Meter per Day (Check conversion here)

FINAL ANSWER

96428.5714285714 ≈ 96428.57 Cubic Meter per Day <-- Average daily influent flow rate

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Design of a complete mix activated sludge reactor » Average Daily Influent Flow Rate » Average Daily Influent Flow Rate given Reactor Volume

Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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 Reactor Volume Formula

What is volume of reactor?

The volume of the reactor is the total capacity of the reactor which is allowed in it as influent sludge. It is calculated in cubic meters.

How to Calculate Average Daily Influent Flow Rate given Reactor Volume?

Average Daily Influent Flow Rate given Reactor Volume calculator uses 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)) to calculate the Average daily influent flow rate, Average Daily Influent Flow Rate given Reactor Volume is the total amount of sludge entering the reactor per day. Average daily influent flow rate is denoted by Q symbol.

How to calculate Average Daily Influent Flow Rate given Reactor Volume using this online calculator? To use this online calculator for Average Daily Influent Flow Rate given Reactor Volume, enter Reactor Volume (V), MLVSS (X_a), Endogenous decay coefficient (k_d), Mean Cell Residence Time (θ_c), Maximum Yield Coefficient (Y), Influent Substrate Concentration (S_o) & Effluent substrate concentration (S) and hit the calculate button. Here is how the Average Daily Influent Flow Rate given Reactor Volume calculation can be explained with given input values -> 6.5E+9 = 1000*2.5*(1+(5.78703703703704E-07*604800))/(604800*0.5*(0.025-0.015)).

FAQ

What is Average Daily Influent Flow Rate given Reactor Volume?

Average Daily Influent Flow Rate given Reactor Volume is the total amount of sludge entering the reactor per day and is represented as Q = V*X_a*(1+(k_d*θ_c))/(θ_c*Y*(S_o-S)) or 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)). The Reactor Volume gives us the capacity of the reactor, MLVSS is the concentration of microorganisms in the reactor, Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS, Mean Cell Residence Time is the average time that the sludge remains in the reactor, Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed, 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 Reactor Volume?

Average Daily Influent Flow Rate given Reactor Volume is the total amount of sludge entering the reactor per day is calculated using 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)). To calculate Average Daily Influent Flow Rate given Reactor Volume, you need Reactor Volume (V), MLVSS (X_a), Endogenous decay coefficient (k_d), Mean Cell Residence Time (θ_c), Maximum Yield Coefficient (Y), Influent Substrate Concentration (S_o) & Effluent substrate concentration (S). With our tool, you need to enter the respective value for Reactor Volume, MLVSS, Endogenous decay coefficient, Mean Cell Residence Time, Maximum Yield Coefficient, 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 Reactor Volume, MLVSS, Endogenous decay coefficient, Mean Cell Residence Time, Maximum Yield Coefficient, 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/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 = ((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

Home

FREE PDFs

🔍 Search