Volume of Wasted Sludge Per Day given Sludge Age 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%
✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%
✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Concentration of solids in the effluent is in the terms of density.ⓘ Concentration of solids in the effluent [X^E]			+10% -10%
✖Concentration of solids in the returned sludge or in the wasted sludge.ⓘ Concentration of solids [X^R]			+10% -10%

✖Volume of wasted sludge per day is measured in terms of discharge.ⓘ Volume of Wasted Sludge Per Day given Sludge Age [Q_w]

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Volume of Wasted Sludge Per Day given Sludge Age

Formula

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

Example

`"29.975m³/s"=((("9m³"*"1200mg/L")/"5d")-("10m³/s"*"3mg/L"))/("2mg/L"-"3mg/L")`

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Volume of Wasted Sludge Per Day given Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Wasted Sludge per day = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge*Concentration of solids in the effluent))/(Concentration of solids-Concentration of solids in the effluent)
Q_w = (((V*X)/θ_c)-(Q_s*X^E))/(X^R-X^E)
This formula uses 7 Variables

Variables Used

Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of wasted sludge per day is measured in terms of discharge.
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).
Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.
Concentration of solids in the effluent - (Measured in Kilogram per Cubic Meter) - Concentration of solids in the effluent is in the terms of density.
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)
Sludge Age: 5 Day --> 432000 Second (Check conversion here)
Sewage Discharge: 10 Cubic Meter per Second --> 10 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)
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

Q_w = (((V*X)/θ_c)-(Q_s*X^E))/(X^R-X^E) --> (((9*1.2)/432000)-(10*0.003))/(0.002-0.003)

Evaluating ... ...

Q_w = 29.975

STEP 3: Convert Result to Output's Unit

29.975 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

29.975 Cubic Meter per Second <-- Volume of Wasted Sludge per day

(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 Volume of Wasted Sludge Calculators

Volume of Wasted Sludge Per Day given Sludge Age

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

Volume of Wasted Sludge Per Day given Total Solids Removed

Go Volume of Wasted Sludge per day = (Mass of solids leaving the system-(Sewage Discharge*Concentration of solids in the effluent))/(Concentration of solids-Concentration of solids in the effluent)

Volume of Wasted Sludge Per Day given MLSS

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

Volume of Wasted Sludge Per Day given Mass of Solids Removed

Go Volume of Wasted Sludge per day = Sewage Discharge-(Mass of Solids/Concentration of solids in the effluent)

Volume of Wasted Sludge Per Day

Go Volume of Wasted Sludge per day = Mass of Solids/Concentration of solids

Volume of Wasted Sludge Per Day given Sludge Age Formula

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 Volume of Wasted Sludge Per Day given Sludge Age?

Volume of Wasted Sludge Per Day given Sludge Age calculator uses Volume of Wasted Sludge per day = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge*Concentration of solids in the effluent))/(Concentration of solids-Concentration of solids in the effluent) to calculate the Volume of Wasted Sludge per day, Volume of Wasted Sludge Per Day given Sludge Age calculates volume of wasted sludge per day when we have prior information of other parameters used. Volume of Wasted Sludge per day is denoted by Q_w symbol.

How to calculate Volume of Wasted Sludge Per Day given Sludge Age using this online calculator? To use this online calculator for Volume of Wasted Sludge Per Day given Sludge Age, enter Volume of Tank (V), MLSS (X), Sludge Age (θ_c), Sewage Discharge (Q_s), Concentration of solids in the effluent (X^E) & Concentration of solids (X^R) and hit the calculate button. Here is how the Volume of Wasted Sludge Per Day given Sludge Age calculation can be explained with given input values -> 29.975 = (((9*1.2)/432000)-(10*0.003))/(0.002-0.003).

FAQ

What is Volume of Wasted Sludge Per Day given Sludge Age?

Volume of Wasted Sludge Per Day given Sludge Age calculates volume of wasted sludge per day when we have prior information of other parameters used and is represented as Q_w = (((V*X)/θ_c)-(Q_s*X^E))/(X^R-X^E) or Volume of Wasted Sludge per day = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge*Concentration of solids in the effluent))/(Concentration of solids-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), Sludge Age is the average time for which the particle of suspended solids remains in aeration, Sewage discharge is the flow rate of sewage when it is being discharged in the river, Concentration of solids in the effluent is in the terms of density & Concentration of solids in the returned sludge or in the wasted sludge.

How to calculate Volume of Wasted Sludge Per Day given Sludge Age?

Volume of Wasted Sludge Per Day given Sludge Age calculates volume of wasted sludge per day when we have prior information of other parameters used is calculated using Volume of Wasted Sludge per day = (((Volume of Tank*MLSS)/Sludge Age)-(Sewage Discharge*Concentration of solids in the effluent))/(Concentration of solids-Concentration of solids in the effluent). To calculate Volume of Wasted Sludge Per Day given Sludge Age, you need Volume of Tank (V), MLSS (X), Sludge Age (θ_c), Sewage Discharge (Q_s), Concentration of solids in the effluent (X^E) & Concentration of solids (X^R). With our tool, you need to enter the respective value for Volume of Tank, MLSS, Sludge Age, Sewage Discharge, Concentration of solids in the effluent & 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 Volume of Wasted Sludge per day?

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

Volume of Wasted Sludge per day = Mass of Solids/Concentration of solids
Volume of Wasted Sludge per day = Sewage Discharge-(Mass of Solids/Concentration of solids in the effluent)
Volume of Wasted Sludge per day = (Mass of solids leaving the system-(Sewage Discharge*Concentration of solids in the effluent))/(Concentration of solids-Concentration of solids in the effluent)
Volume of Wasted Sludge per day = (MLSS*Volume of Tank)/(Concentration of solids*Sludge Age)

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