Sludge Age given Concentration of Solids 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%
✖Peak Sewage Flow means the maximum amount of sewage that is discharged.ⓘ Peak Sewage Flow [Q_max]			+10% -10%
✖Concentration of solids in the effluent is in the terms of density.ⓘ Concentration of solids in the effluent [X^E]			+10% -10%

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

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Formula

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Sludge Age given Concentration of Solids

Formula

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

Example

`"0.005206d"=("9m³"*"1200mg/L")/(("9.5m³/s"*"2mg/L")+("11.17m³/s"-"9.5m³/s")*"3mg/L")`

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Sludge Age given Concentration of Solids Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
θ_c = (V*X)/((Q_w*X^R)+(Q_max-Q_w)*X^E)
This formula uses 7 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.
Peak Sewage Flow - (Measured in Cubic Meter per Second) - Peak Sewage Flow means the maximum amount of sewage that is discharged.
Concentration of solids in the effluent - (Measured in Kilogram per Cubic Meter) - Concentration of solids in the effluent is in the terms of density.

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)
Peak Sewage Flow: 11.17 Cubic Meter per Second --> 11.17 Cubic Meter per Second No Conversion Required
Concentration of solids in the effluent: 3 Milligram per Liter --> 0.003 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_c = (V*X)/((Q_w*X^R)+(Q_max-Q_w)*X^E) --> (9*1.2)/((9.5*0.002)+(11.17-9.5)*0.003)

Evaluating ... ...

θ_c = 449.812578092461

STEP 3: Convert Result to Output's Unit

449.812578092461 Second -->0.00520616409829238 Day (Check conversion here)

FINAL ANSWER

0.00520616409829238 ≈ 0.005206 Day <-- Sludge Age

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Concentration of Solids Formula

What is sludge age ?

The common range for sludge age for a conventional activated sludge plant is between 3 and 15 days. For extended aeration activated sludge plants the range is between about 15 and 30 days. Generally during the winter months, higher sludge ages are required to maintain a sufficient biological mass.

How to Calculate Sludge Age given Concentration of Solids?

Sludge Age given Concentration of Solids calculator uses 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) to calculate the Sludge Age, The Sludge Age given Concentration of Solids calculates the sludge age when we have prior information of other parameters used. Sludge Age is denoted by θ_c symbol.

How to calculate Sludge Age given Concentration of Solids using this online calculator? To use this online calculator for Sludge Age given Concentration of Solids, enter Volume of Tank (V), MLSS (X), Volume of Wasted Sludge per day (Q_w), Concentration of solids (X^R), Peak Sewage Flow (Q_max) & Concentration of solids in the effluent (X^E) and hit the calculate button. Here is how the Sludge Age given Concentration of Solids calculation can be explained with given input values -> 2.9E-8 = (9*1.2)/((9.5*0.002)+(11.17-9.5)*0.003).

FAQ

What is Sludge Age given Concentration of Solids?

The Sludge Age given Concentration of Solids calculates the sludge age when we have prior information of other parameters used and is represented as θ_c = (V*X)/((Q_w*X^R)+(Q_max-Q_w)*X^E) or 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). 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, Peak Sewage Flow means the maximum amount of sewage that is discharged & Concentration of solids in the effluent is in the terms of density.

How to calculate Sludge Age given Concentration of Solids?

The Sludge Age given Concentration of Solids calculates the sludge age when we have prior information of other parameters used is calculated using 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). To calculate Sludge Age given Concentration of Solids, you need Volume of Tank (V), MLSS (X), Volume of Wasted Sludge per day (Q_w), Concentration of solids (X^R), Peak Sewage Flow (Q_max) & Concentration of solids in the effluent (X^E). With our tool, you need to enter the respective value for Volume of Tank, MLSS, Volume of Wasted Sludge per day, Concentration of solids, Peak Sewage Flow & Concentration of solids in the effluent 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, Peak Sewage Flow & Concentration of solids in the effluent. 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)
Sludge Age = (1/((Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-Endogenous Respiration Rate Constant))

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