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%
✖Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.ⓘ Mixed Liquor Suspended Solids [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 Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid).ⓘ Concentration of Solids in Effluent [X^E]			+10% -10%
✖Concentration of Solids in Returned Sludge is the density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank.ⓘ Concentration of Solids in Returned Sludge [X^R]			+10% -10%

✖Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period.ⓘ Volume of Wasted Sludge Per Day given Sludge Age [Q_w]

⎘ Copy

👎

Formula

✖

Volume of Wasted Sludge Per Day given Sludge Age

Formula

Q w = \frac{(\frac{V \cdot X'}{θ c}) - (Q s \cdot X E)}{X R - X E}

Example

10.55256 m³/s = \frac{(\frac{9 m³ \cdot 1200 mg/L}{5 d}) - (10 m³/s \cdot 10.0 mg/L)}{0.526 mg/L - 10.0 mg/L}

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

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*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in 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 the amount of sludge that is removed from a wastewater treatment process within a 24-hour period.
Volume of Tank - (Measured in Cubic Meter) - Volume of Tank is defined as the capacity of flocculation and mixing tank.
Mixed Liquor Suspended Solids - (Measured in Kilogram per Cubic Meter) - Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.
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 Effluent - (Measured in Kilogram per Cubic Meter) - Concentration of Solids in Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid).
Concentration of Solids in Returned Sludge - (Measured in Kilogram per Cubic Meter) - Concentration of Solids in Returned Sludge is the density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank.

STEP 1: Convert Input(s) to Base Unit

Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Mixed Liquor Suspended Solids: 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 Effluent: 10 Milligram per Liter --> 0.01 Kilogram per Cubic Meter (Check conversion here)
Concentration of Solids in Returned Sludge: 0.526 Milligram per Liter --> 0.000526 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*0.01))/(0.000526-0.01)

Evaluating ... ...

Q_w = 10.5525649145029

STEP 3: Convert Result to Output's Unit

10.5525649145029 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

10.5525649145029 ≈ 10.55256 Cubic Meter per Second <-- Volume of Wasted Sludge per day

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Sludge Age » Volume of Wasted Sludge » Volume of Wasted Sludge Per Day given Sludge Age

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Volume of Wasted Sludge Calculators

Volume of Wasted Sludge Per Day given Sludge Age

Go Volume of Wasted Sludge per day = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in 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 Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)

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 Effluent)

Volume of Wasted Sludge Per Day

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

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*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent) to calculate the Volume of Wasted Sludge per day, The Volume of Wasted Sludge Per Day given Sludge Age formula is defined as the calculation of volume of wasted sludge per day when we have prior information of sludge age. 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), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Sewage Discharge (Q_s), Concentration of Solids in Effluent (X^E) & Concentration of Solids in Returned Sludge (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 -> 12.49688 = (((9*1.2)/432000)-(10*0.01))/(concentration_solid_432000-0.01).

FAQ

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

The Volume of Wasted Sludge Per Day given Sludge Age formula is defined as the calculation of volume of wasted sludge per day when we have prior information of sludge age 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*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent). Volume of Tank is defined as the capacity of flocculation and mixing tank, Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process, 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 Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid) & Concentration of Solids in Returned Sludge is the density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank.

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

The Volume of Wasted Sludge Per Day given Sludge Age formula is defined as the calculation of volume of wasted sludge per day when we have prior information of sludge age is calculated using Volume of Wasted Sludge per day = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent). To calculate Volume of Wasted Sludge Per Day given Sludge Age, you need Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Sewage Discharge (Q_s), Concentration of Solids in Effluent (X^E) & Concentration of Solids in Returned Sludge (X^R). With our tool, you need to enter the respective value for Volume of Tank, Mixed Liquor Suspended Solids, Sludge Age, Sewage Discharge, Concentration of Solids in Effluent & Concentration of Solids in Returned Sludge 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, Mixed Liquor Suspended Solids, Sludge Age, Sewage Discharge, Concentration of Solids in Effluent & Concentration of Solids in Returned Sludge. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Wasted Sludge per day = Mass of Solids/Concentration of Solids in Returned Sludge
Volume of Wasted Sludge per day = Sewage Discharge-(Mass of Solids/Concentration of Solids in Effluent)
Volume of Wasted Sludge per day = (Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)

Home

FREE PDFs

🔍 Search