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)
Qw = (((V*X')/θc)-(Qs*XE))/(XR-XE)
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
Qw = (((V*X')/θc)-(Qs*XE))/(XR-XE) --> (((9*1.2)/432000)-(10*0.01))/(0.000526-0.01)
Evaluating ... ...
Qw = 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)

Credits

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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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Volume of Wasted Sludge Calculators

Volume of Wasted Sludge Per Day given Sludge Age
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Volume of Wasted Sludge per day = Sewage Discharge-(Mass of Solids/Concentration of Solids in Effluent)
Volume of Wasted Sludge Per Day
​ LaTeX ​ 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

​LaTeX ​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)
Qw = (((V*X')/θc)-(Qs*XE))/(XR-XE)

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 Qw 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 c), Sewage Discharge (Qs), Concentration of Solids in Effluent (XE) & Concentration of Solids in Returned Sludge (XR) 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 Qw = (((V*X')/θc)-(Qs*XE))/(XR-XE) 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 c), Sewage Discharge (Qs), Concentration of Solids in Effluent (XE) & Concentration of Solids in Returned Sludge (XR). 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)
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