Mixed Liquor Volatile Suspended Solids given Reactor Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
MLVSS = (Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))/(Reactor Volume*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))
Xa = (θc*Q*Y*(So-S))/(V*(1+(kd*θc)))
This formula uses 8 Variables
Variables Used
MLVSS - (Measured in Kilogram per Cubic Meter) - MLVSS is the concentration of microorganisms in the reactor.
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 Second) - 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.
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.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of 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.
STEP 1: Convert Input(s) to Base Unit
Mean Cell Residence Time: 14 Day --> 1209600 Second (Check conversion here)
Average daily influent flow rate: 1.2 Cubic Meter per Day --> 1.38888888888889E-05 Cubic Meter per 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)
Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
Endogenous decay coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Xa = (θc*Q*Y*(So-S))/(V*(1+(kdc))) --> (1209600*1.38888888888889E-05*0.5*(0.025-0.015))/(1000*(1+(5.78703703703704E-07*1209600)))
Evaluating ... ...
Xa = 4.94117647058824E-05
STEP 3: Convert Result to Output's Unit
4.94117647058824E-05 Kilogram per Cubic Meter -->0.0494117647058824 Milligram per Liter (Check conversion here)
FINAL ANSWER
0.0494117647058824 0.049412 Milligram per Liter <-- MLVSS
(Calculation completed in 00.020 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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NSS College of Engineering (NSSCE), Palakkad
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4 MLSS and MLVSS Calculators

Mixed Liquor Volatile Suspended Solids given Reactor Volume
Go MLVSS = (Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))/(Reactor Volume*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))
Mixed Liquor Suspended Solids given Wasting Rate from Return Line
Go MLSS = Mean Cell Residence Time*((WAS Pumping Rate from Return Line*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/Reactor Volume
MLSS given RAS Pumping Rate from Aeration Tank
Go MLSS = Sludge Concentration in Return Line*(Return Activated Sludge+WAS Pumping Rate from Return Line)/(Average daily influent flow rate+Return Activated Sludge)
MLSS using Wasting rate from Return Line when Concentration of Solid in Effluent is Low
Go MLSS = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Reactor Volume

Mixed Liquor Volatile Suspended Solids given Reactor Volume Formula

MLVSS = (Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))/(Reactor Volume*(1+(Endogenous decay coefficient*Mean Cell Residence Time)))
Xa = (θc*Q*Y*(So-S))/(V*(1+(kd*θc)))

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 do you process sludge?

Step 1 – Sludge Thickening. The first step in the sewage sludge treatment plan is called thickening.
Step 2 – Sludge Digestion. After amassing all the solids from the sewage sludge begins the sludge digestion process
Step 3 – Dewatering
Step 4 – Disposal.

How to Calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume?

Mixed Liquor Volatile Suspended Solids given Reactor Volume calculator uses MLVSS = (Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))/(Reactor Volume*(1+(Endogenous decay coefficient*Mean Cell Residence Time))) to calculate the MLVSS, Mixed Liquor Volatile Suspended Solids given Reactor Volume is the concentration of microorganisms in the reactor. It is generally accepted that the ratio MLVSS/MLSS = 0.8, where MLSS is the mixed liquor suspended solids concentration in the reactor. MLVSS is denoted by Xa symbol.

How to calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume using this online calculator? To use this online calculator for Mixed Liquor Volatile Suspended Solids given Reactor Volume, enter Mean Cell Residence Time c), Average daily influent flow rate (Q), Maximum Yield Coefficient (Y), Influent Substrate Concentration (So), Effluent substrate concentration (S), Reactor Volume (V) & Endogenous decay coefficient (kd) and hit the calculate button. Here is how the Mixed Liquor Volatile Suspended Solids given Reactor Volume calculation can be explained with given input values -> 49.41176 = (1209600*1.38888888888889E-05*0.5*(0.025-0.015))/(1000*(1+(5.78703703703704E-07*1209600))).

FAQ

What is Mixed Liquor Volatile Suspended Solids given Reactor Volume?
Mixed Liquor Volatile Suspended Solids given Reactor Volume is the concentration of microorganisms in the reactor. It is generally accepted that the ratio MLVSS/MLSS = 0.8, where MLSS is the mixed liquor suspended solids concentration in the reactor and is represented as Xa = (θc*Q*Y*(So-S))/(V*(1+(kdc))) or MLVSS = (Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))/(Reactor Volume*(1+(Endogenous decay coefficient*Mean Cell Residence Time))). 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, 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, The Reactor Volume gives us the capacity of the reactor & Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS.
How to calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume?
Mixed Liquor Volatile Suspended Solids given Reactor Volume is the concentration of microorganisms in the reactor. It is generally accepted that the ratio MLVSS/MLSS = 0.8, where MLSS is the mixed liquor suspended solids concentration in the reactor is calculated using MLVSS = (Mean Cell Residence Time*Average daily influent flow rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent substrate concentration))/(Reactor Volume*(1+(Endogenous decay coefficient*Mean Cell Residence Time))). To calculate Mixed Liquor Volatile Suspended Solids given Reactor Volume, you need Mean Cell Residence Time c), Average daily influent flow rate (Q), Maximum Yield Coefficient (Y), Influent Substrate Concentration (So), Effluent substrate concentration (S), Reactor Volume (V) & Endogenous decay coefficient (kd). With our tool, you need to enter the respective value for Mean Cell Residence Time, Average daily influent flow rate, Maximum Yield Coefficient, Influent Substrate Concentration, Effluent substrate concentration, Reactor Volume & Endogenous decay coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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