Effluent Substrate Concentration given Volume of Reactor Calculator

✖Influent Substrate Concentration is the concentration of BOD that is present in the influent.ⓘ Influent Substrate Concentration [S_o]			+10% -10%
✖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%
✖Average daily influent flow rate is the total discharge that comes in the reactor.ⓘ Average daily influent flow rate [Q]			+10% -10%
✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%

✖Effluent substrate concentration is the concentration of the BOD present in the effluent.ⓘ Effluent Substrate Concentration given Volume of Reactor [S]

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Formula

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Effluent Substrate Concentration given Volume of Reactor

Formula

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

Example

`"15.6994mg/L"="25mg/L"-(("1000m³"*"2500mg/L"*(1+("0.050d⁻¹"*"7d")))/("7d"*"1.2m³/d"*"0.5"))`

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Effluent Substrate Concentration given Volume of Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effluent substrate concentration = Influent Substrate Concentration-((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient))
S = S_o-((V*X_a*(1+(k_d*θ_c)))/(θ_c*Q*Y))
This formula uses 8 Variables

Variables Used

Effluent substrate concentration - (Measured in Milligram per Liter) - Effluent substrate concentration is the concentration of the BOD present in the effluent.
Influent Substrate Concentration - (Measured in Milligram per Liter) - Influent Substrate Concentration is the concentration of BOD that is present in the influent.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
MLVSS - (Measured in Milligram per Liter) - 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.
Average daily influent flow rate - (Measured in Cubic Meter per Day) - Average daily influent flow rate is the total discharge that comes in the reactor.
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.

STEP 1: Convert Input(s) to Base Unit

Influent Substrate Concentration: 25 Milligram per Liter --> 25 Milligram per Liter No Conversion Required
Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
MLVSS: 2500 Milligram per Liter --> 2500 Milligram per Liter No Conversion Required
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)
Average daily influent flow rate: 1.2 Cubic Meter per Day --> 1.2 Cubic Meter per Day No Conversion Required
Maximum Yield Coefficient: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = S_o-((V*X_a*(1+(k_d*θ_c)))/(θ_c*Q*Y)) --> 25-((1000*2500*(1+(5.78703703703704E-07*604800)))/(604800*1.2*0.5))

Evaluating ... ...

S = 15.6994047619048

STEP 3: Convert Result to Output's Unit

0.0156994047619048 Kilogram per Cubic Meter -->15.6994047619048 Milligram per Liter (Check conversion here)

FINAL ANSWER

15.6994047619048 ≈ 15.6994 Milligram per Liter <-- Effluent substrate concentration

(Calculation completed in 00.020 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 4 Effluent Substrate Concentration Calculators

Effluent Substrate Concentration given Volume of Reactor

Go Effluent substrate concentration = Influent Substrate Concentration-((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient))

Effluent Flow Rate given Wasting Rate from Return Line

Go Effluent Flow Rate = (Reactor Volume*MLSS/(Mean Cell Residence Time*Solid Concentration in Effluent))-(WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Solid Concentration in Effluent)

Effluent Substrate Concentration given Theoretical Oxygen Requirement

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

Effluent Substrate Concentration given Net Waste Activated Sludge

Go Effluent substrate concentration = Influent Substrate Concentration-(Net waste activated sludge/(Observed Cell Yield*Average daily influent flow rate*8.34))

Effluent Substrate Concentration given Volume of Reactor Formula

What is volume of reactor?

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

How is sludge treated?

Many sludges are treated using a variety of digestion techniques, the purpose of which is to reduce the amount of organic matter and the number of disease-causing microorganisms present in the solids. The most common treatment options include anaerobic digestion, aerobic digestion, and composting.

How to Calculate Effluent Substrate Concentration given Volume of Reactor?

Effluent Substrate Concentration given Volume of Reactor calculator uses Effluent substrate concentration = Influent Substrate Concentration-((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient)) to calculate the Effluent substrate concentration, Effluent Substrate Concentration given Volume of Reactor is the total concentration of BOD present in the sludge which came out after treatment. Effluent substrate concentration is denoted by S symbol.

How to calculate Effluent Substrate Concentration given Volume of Reactor using this online calculator? To use this online calculator for Effluent Substrate Concentration given Volume of Reactor, enter Influent Substrate Concentration (S_o), Reactor Volume (V), MLVSS (X_a), Endogenous decay coefficient (k_d), Mean Cell Residence Time (θ_c), Average daily influent flow rate (Q) & Maximum Yield Coefficient (Y) and hit the calculate button. Here is how the Effluent Substrate Concentration given Volume of Reactor calculation can be explained with given input values -> 17766.2 = 0.025-((1000*2.5*(1+(5.78703703703704E-07*604800)))/(604800*1.38888888888889E-05*0.5)).

FAQ

What is Effluent Substrate Concentration given Volume of Reactor?

Effluent Substrate Concentration given Volume of Reactor is the total concentration of BOD present in the sludge which came out after treatment and is represented as S = S_o-((V*X_a*(1+(k_d*θ_c)))/(θ_c*Q*Y)) or Effluent substrate concentration = Influent Substrate Concentration-((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient)). Influent Substrate Concentration is the concentration of BOD that is present in the influent, 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, Average daily influent flow rate is the total discharge that comes in the reactor & Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.

How to calculate Effluent Substrate Concentration given Volume of Reactor?

Effluent Substrate Concentration given Volume of Reactor is the total concentration of BOD present in the sludge which came out after treatment is calculated using Effluent substrate concentration = Influent Substrate Concentration-((Reactor Volume*MLVSS*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))/(Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient)). To calculate Effluent Substrate Concentration given Volume of Reactor, you need Influent Substrate Concentration (S_o), Reactor Volume (V), MLVSS (X_a), Endogenous decay coefficient (k_d), Mean Cell Residence Time (θ_c), Average daily influent flow rate (Q) & Maximum Yield Coefficient (Y). With our tool, you need to enter the respective value for Influent Substrate Concentration, Reactor Volume, MLVSS, Endogenous decay coefficient, Mean Cell Residence Time, Average daily influent flow rate & Maximum Yield Coefficient 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 Effluent substrate concentration?

In this formula, Effluent substrate concentration uses Influent Substrate Concentration, Reactor Volume, MLVSS, Endogenous decay coefficient, Mean Cell Residence Time, Average daily influent flow rate & Maximum Yield Coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -

Effluent substrate concentration = Influent Substrate Concentration-(Net waste activated sludge/(Observed Cell Yield*Average daily influent flow rate*8.34))
Effluent substrate concentration = Influent Substrate Concentration-((Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))*(BOD conversion factor/(8.34*Average daily influent flow rate)))

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