Sludge Age given MLSS Calculator

✖Volume of tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Volume of wasted sludge per day is measured in terms of discharge.ⓘ Volume of Wasted Sludge per day [Q_w]			+10% -10%
✖Concentration of solids in the returned sludge or in the wasted sludge.ⓘ Concentration of solids [X^R]			+10% -10%

✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age given MLSS [θ_c]

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Formula

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Sludge Age given MLSS

Formula

`"θ"_{"c"} = ("V"*"X")/("Q"_{"w"}*"X"^{"R"})`

Example

`"0.006579d"=("9m³"*"1200mg/L")/("9.5m³/s"*"2mg/L")`

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Sludge Age given MLSS Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids)
θ_c = (V*X)/(Q_w*X^R)
This formula uses 5 Variables

Variables Used

Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Volume of Tank - (Measured in Cubic Meter) - Volume of tank is defined as the capacity of flocculation and mixing tank.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of wasted sludge per day is measured in terms of discharge.
Concentration of solids - (Measured in Kilogram per Cubic Meter) - Concentration of solids in the returned sludge or in the wasted sludge.

STEP 1: Convert Input(s) to Base Unit

Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Volume of Wasted Sludge per day: 9.5 Cubic Meter per Second --> 9.5 Cubic Meter per Second No Conversion Required
Concentration of solids: 2 Milligram per Liter --> 0.002 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_c = (V*X)/(Q_w*X^R) --> (9*1.2)/(9.5*0.002)

Evaluating ... ...

θ_c = 568.421052631579

STEP 3: Convert Result to Output's Unit

568.421052631579 Second -->0.00657894736842105 Day (Check conversion here)

FINAL ANSWER

0.00657894736842105 ≈ 0.006579 Day <-- Sludge Age

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Sludge Age Calculators

Sludge Age given Concentration of Solids

Go Sludge Age = (Volume of Tank*MLSS)/((Volume of Wasted Sludge per day*Concentration of solids)+(Peak Sewage Flow-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)

Sludge Age given MLSS

Go Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids)

Sludge Age given Endogenous Respiration Rate Constant

Go Sludge Age = (1/((Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-Endogenous Respiration Rate Constant))

Sludge Age given Total Solids Removed

Go Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system

Sludge Age

Go Sludge Age = Mass of suspended solids/Mass of solids leaving the system

Sludge Age given MLSS Formula

Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids)
θ_c = (V*X)/(Q_w*X^R)

What is sludge ?

Sludge is a semi-solid slurry that can be produced from a range of industrial processes, from water treatment, wastewater treatment or on-site sanitation systems.

How to Calculate Sludge Age given MLSS?

Sludge Age given MLSS calculator uses Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids) to calculate the Sludge Age, Sludge Age given MLSS is most fundamental and important parameter in design, operation and control of biological nutrient removal (BNR) activated sludge (AS) systems. Sludge Age is denoted by θ_c symbol.

How to calculate Sludge Age given MLSS using this online calculator? To use this online calculator for Sludge Age given MLSS, enter Volume of Tank (V), MLSS (X), Volume of Wasted Sludge per day (Q_w) & Concentration of solids (X^R) and hit the calculate button. Here is how the Sludge Age given MLSS calculation can be explained with given input values -> 7.6E-8 = (9*1.2)/(9.5*0.002).

FAQ

What is Sludge Age given MLSS?

Sludge Age given MLSS is most fundamental and important parameter in design, operation and control of biological nutrient removal (BNR) activated sludge (AS) systems and is represented as θ_c = (V*X)/(Q_w*X^R) or Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids). Volume of tank is defined as the capacity of flocculation and mixing tank, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Volume of wasted sludge per day is measured in terms of discharge & Concentration of solids in the returned sludge or in the wasted sludge.

How to calculate Sludge Age given MLSS?

Sludge Age given MLSS is most fundamental and important parameter in design, operation and control of biological nutrient removal (BNR) activated sludge (AS) systems is calculated using Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids). To calculate Sludge Age given MLSS, you need Volume of Tank (V), MLSS (X), Volume of Wasted Sludge per day (Q_w) & Concentration of solids (X^R). With our tool, you need to enter the respective value for Volume of Tank, MLSS, Volume of Wasted Sludge per day & Concentration of solids 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 Sludge Age?

In this formula, Sludge Age uses Volume of Tank, MLSS, Volume of Wasted Sludge per day & Concentration of solids. We can use 4 other way(s) to calculate the same, which is/are as follows -

Sludge Age = Mass of suspended solids/Mass of solids leaving the system
Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system
Sludge Age = (Volume of Tank*MLSS)/((Volume of Wasted Sludge per day*Concentration of solids)+(Peak Sewage Flow-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)
Sludge Age = (1/((Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-Endogenous Respiration Rate Constant))

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