Mixed Liquor Suspended Solids given Wasting Rate from Return Line Calculator

✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%
✖WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line.ⓘ WAS Pumping Rate from Return Line [Q_w']			+10% -10%
✖Sludge Concentration in Return Line is the total BOD that is present in the return line.ⓘ Sludge Concentration in Return Line [X_r]			+10% -10%
✖Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier.ⓘ Effluent Flow Rate [Q_e]			+10% -10%
✖Solid Concentration in Effluent is the total amount of solids that are present in the effluent.ⓘ Solid Concentration in Effluent [X_e]			+10% -10%
✖The Reactor Volume gives us the capacity of the reactor.ⓘ Reactor Volume [V]			+10% -10%

✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ Mixed Liquor Suspended Solids given Wasting Rate from Return Line [X]

⎘ Copy

👎

Formula

✖

Mixed Liquor Suspended Solids given Wasting Rate from Return Line

Formula

`"X" = "θ"_{"c"}*((("Q"_{"w"}"'")*"X"_{"r"})+("Q"_{"e"}*"X"_{"e"}))/"V"`

Example

`"1260mg/L"="14d"*(("300m³/d"*"200mg/L")+("500m³/d"*"60mg/L"))/"1000m³"`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Mixed Liquor Suspended Solids given Wasting Rate from Return Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
X = θ_c*((Q_w'*X_r)+(Q_e*X_e))/V
This formula uses 7 Variables

Variables Used

MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
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.
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.
Effluent Flow Rate - (Measured in Cubic Meter per Second) - Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier.
Solid Concentration in Effluent - (Measured in Kilogram per Cubic Meter) - Solid Concentration in Effluent is the total amount of solids that are present in the effluent.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.

STEP 1: Convert Input(s) to Base Unit

Mean Cell Residence Time: 14 Day --> 1209600 Second (Check conversion here)
WAS Pumping Rate from Return Line: 300 Cubic Meter per Day --> 0.00347222222222222 Cubic Meter per Second (Check conversion here)
Sludge Concentration in Return Line: 200 Milligram per Liter --> 0.2 Kilogram per Cubic Meter (Check conversion here)
Effluent Flow Rate: 500 Cubic Meter per Day --> 0.00578703703703704 Cubic Meter per Second (Check conversion here)
Solid Concentration in Effluent: 60 Milligram per Liter --> 0.06 Kilogram per Cubic Meter (Check conversion here)
Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X = θ_c*((Q_w'*X_r)+(Q_e*X_e))/V --> 1209600*((0.00347222222222222*0.2)+(0.00578703703703704*0.06))/1000

Evaluating ... ...

X = 1.26

STEP 3: Convert Result to Output's Unit

1.26 Kilogram per Cubic Meter -->1260 Milligram per Liter (Check conversion here)

FINAL ANSWER

1260 Milligram per Liter <-- MLSS

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Design of a complete mix activated sludge reactor » MLSS and MLVSS » Mixed Liquor Suspended Solids given Wasting Rate from Return Line

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!

< 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 Suspended Solids given Wasting Rate from Return Line Formula

What is wasting rate?

The Wasting rate from return line is the time required to waste sludge from the return sludge line because return activated sludge is more concentrated and requires smaller waste sludge pumps.

How to Calculate Mixed Liquor Suspended Solids given Wasting Rate from Return Line?

Mixed Liquor Suspended Solids given Wasting Rate from Return Line calculator uses 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 to calculate the MLSS, The Mixed Liquor Suspended Solids given Wasting Rate from Return Line is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics). For a complete-mix activated sludge process, MLSS ranges from 1000 to 6500 mg/L. MLSS is denoted by X symbol.

How to calculate Mixed Liquor Suspended Solids given Wasting Rate from Return Line using this online calculator? To use this online calculator for Mixed Liquor Suspended Solids given Wasting Rate from Return Line, enter Mean Cell Residence Time (θ_c), WAS Pumping Rate from Return Line (Q_w'), Sludge Concentration in Return Line (X_r), Effluent Flow Rate (Q_e), Solid Concentration in Effluent (X_e) & Reactor Volume (V) and hit the calculate button. Here is how the Mixed Liquor Suspended Solids given Wasting Rate from Return Line calculation can be explained with given input values -> 980000 = 1209600*((0.00347222222222222*0.2)+(0.00578703703703704*0.06))/1000.

FAQ

What is Mixed Liquor Suspended Solids given Wasting Rate from Return Line?

The Mixed Liquor Suspended Solids given Wasting Rate from Return Line is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics). For a complete-mix activated sludge process, MLSS ranges from 1000 to 6500 mg/L and is represented as X = θ_c*((Q_w'*X_r)+(Q_e*X_e))/V or 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. Mean Cell Residence Time is the average time that the sludge remains in the reactor, WAS Pumping Rate from Return Line is the flow rate of waste sludge from the return line, Sludge Concentration in Return Line is the total BOD that is present in the return line, Effluent Flow Rate is the total quantity of the flow of sewage from the secondary clarifier, Solid Concentration in Effluent is the total amount of solids that are present in the effluent & The Reactor Volume gives us the capacity of the reactor.

How to calculate Mixed Liquor Suspended Solids given Wasting Rate from Return Line?

The Mixed Liquor Suspended Solids given Wasting Rate from Return Line is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics). For a complete-mix activated sludge process, MLSS ranges from 1000 to 6500 mg/L is calculated using 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. To calculate Mixed Liquor Suspended Solids given Wasting Rate from Return Line, you need Mean Cell Residence Time (θ_c), WAS Pumping Rate from Return Line (Q_w'), Sludge Concentration in Return Line (X_r), Effluent Flow Rate (Q_e), Solid Concentration in Effluent (X_e) & Reactor Volume (V). With our tool, you need to enter the respective value for Mean Cell Residence Time, WAS Pumping Rate from Return Line, Sludge Concentration in Return Line, Effluent Flow Rate, Solid Concentration in Effluent & Reactor Volume 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 MLSS?

In this formula, MLSS uses Mean Cell Residence Time, WAS Pumping Rate from Return Line, Sludge Concentration in Return Line, Effluent Flow Rate, Solid Concentration in Effluent & Reactor Volume. We can use 2 other way(s) to calculate the same, which is/are as follows -

MLSS = Mean Cell Residence Time*WAS Pumping Rate from Return Line*Sludge Concentration in Return Line/Reactor Volume
MLSS = Sludge Concentration in Return Line*(Return Activated Sludge+WAS Pumping Rate from Return Line)/(Average daily influent flow rate+Return Activated Sludge)

Home

FREE PDFs

🔍 Search