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 mlss is the flow rate of waste sludge from the return line.ⓘ WAS Pumping Rate from Return Line mlss [Q]			+10% -10%
✖Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.ⓘ 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%
✖Reactor Volume refers to the physical volume of a reactor used in chemical processes.ⓘ Reactor Volume [V]			+10% -10%

✖Mixed Liquor Suspended Solids refers to the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.ⓘ Mixed Liquor Suspended Solids given Wasting Rate from Return Line [X^']

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of a Complete Mix Activated Sludge Reactor Formula PDF PDF Image

Mixed Liquor Suspended Solids given Wasting Rate from Return Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mixed Liquor Suspended Solids = Mean Cell Residence Time*((WAS Pumping Rate from Return Line mlss*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/Reactor Volume
X^' = θ_c*((Q*X_r)+(Q_e*X_e))/V
This formula uses 7 Variables

Variables Used

Mixed Liquor Suspended Solids - (Measured in Kilogram per Cubic Meter) - Mixed Liquor Suspended Solids refers to the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.
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 mlss - (Measured in Cubic Meter per Second) - WAS Pumping Rate from Return Line mlss 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 refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank.
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) - Reactor Volume refers to the physical volume of a reactor used in chemical processes.

STEP 1: Convert Input(s) to Base Unit

Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
WAS Pumping Rate from Return Line mlss: 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: 1523.81 Cubic Meter per Day --> 0.0176366898148148 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*X_r)+(Q_e*X_e))/V --> 604800*((0.00347222222222222*0.2)+(0.0176366898148148*0.06))/1000

Evaluating ... ...

X^' = 1.0600002

STEP 3: Convert Result to Output's Unit

1.0600002 Kilogram per Cubic Meter -->1060.0002 Milligram per Liter (Check conversion here)

FINAL ANSWER

1060.0002 ≈ 1060 Milligram per Liter <-- Mixed Liquor Suspended Solids

(Calculation completed in 00.020 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!

< MLSS and MLVSS Calculators

Mixed Liquor Volatile Suspended Solids given Reactor Volume

LaTeX Go Mixed Liquor Volatile Suspended Solids = (Mean Cell Residence Time*Average Daily Influent Flow Rate*Maximum Yield Coefficient*(MLVSS-Effluent Substrate Concentration))/(Reactor Volume*(1+(Endogenous Decay Coefficient*Mean Cell Residence Time)))

Mixed Liquor Suspended Solids given Wasting Rate from Return Line

LaTeX Go Mixed Liquor Suspended Solids = Mean Cell Residence Time*((WAS Pumping Rate from Return Line mlss*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/Reactor Volume

MLSS given RAS Pumping Rate from Aeration Tank

LaTeX Go Mixed Liquor Suspended Solids = Sludge Concentration in Return Line*(Return Activated Sludge MLSS MLVSS+WAS Pumping Rate from Return Line mlss)/(Average Daily Influent Flow Rate+Return Activated Sludge MLSS MLVSS)

MLSS using Wasting Rate from Return Line when Concentration of Solid in Effluent is Low

LaTeX Go Mixed Liquor Suspended Solids = Mean Cell Residence Time*WAS Pumping Rate from Return Line mlss*Sludge Concentration in Return Line/Reactor Volume

Mixed Liquor Suspended Solids given Wasting Rate from Return Line Formula

LaTeX Go

What is Wasting Rate?

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 Mixed Liquor Suspended Solids = Mean Cell Residence Time*((WAS Pumping Rate from Return Line mlss*Sludge Concentration in Return Line)+(Effluent Flow Rate*Solid Concentration in Effluent))/Reactor Volume to calculate the Mixed Liquor Suspended Solids, The Mixed Liquor Suspended Solids given Wasting Rate from Return Line formula is defined as 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. Mixed Liquor Suspended Solids 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 mlss (Q), 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 -> 1.1E+6 = 604800*((0.00347222222222222*0.2)+(0.0176366898148148*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 formula is defined as 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*X_r)+(Q_e*X_e))/V or Mixed Liquor Suspended Solids = Mean Cell Residence Time*((WAS Pumping Rate from Return Line mlss*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 mlss is the flow rate of waste sludge from the return line, Sludge Concentration in Return Line refers to the concentration of suspended solids in the sludge that is being pumped back from the secondary clarifier to the aeration tank, 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 & Reactor Volume refers to the physical volume of a reactor used in chemical processes.

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

The Mixed Liquor Suspended Solids given Wasting Rate from Return Line formula is defined as 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 Mixed Liquor Suspended Solids = Mean Cell Residence Time*((WAS Pumping Rate from Return Line mlss*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 mlss (Q), 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 mlss, 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 Mixed Liquor Suspended Solids?

In this formula, Mixed Liquor Suspended Solids uses Mean Cell Residence Time, WAS Pumping Rate from Return Line mlss, 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 -

Mixed Liquor Suspended Solids = Mean Cell Residence Time*WAS Pumping Rate from Return Line mlss*Sludge Concentration in Return Line/Reactor Volume
Mixed Liquor Suspended Solids = Sludge Concentration in Return Line*(Return Activated Sludge MLSS MLVSS+WAS Pumping Rate from Return Line mlss)/(Average Daily Influent Flow Rate+Return Activated Sludge MLSS MLVSS)

Home

FREE PDFs

🔍 Search