Volume of Wasted Sludge Per Day given Total Solids Removed Calculator

✖Mass of solids leaving the system is calculated in terms of mass per day.ⓘ Mass of solids leaving the system [M^']			+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 Total Solids Removed [Q_w]

⎘ Copy

👎

Formula

✖

Volume of Wasted Sludge Per Day given Total Solids Removed

Formula

`"Q"_{"w"} = ("M"^{"'"}-("Q"_{"s"}*"X"^{"E"}))/("X"^{"R"}-"X"^{"E"})`

Example

`"29.97685m³/s"=("2kg/d"-("10m³/s"*"3mg/L"))/("2mg/L"-"3mg/L")`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

Volume of Wasted Sludge Per Day given Total Solids Removed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_w = (M^'-(Q_s*X^E))/(X^R-X^E)
This formula uses 5 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.
Mass of solids leaving the system - (Measured in Kilogram per Second) - Mass of solids leaving the system is calculated in terms of mass per day.
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

Mass of solids leaving the system: 2 Kilogram per Day --> 2.31481481481481E-05 Kilogram per 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 = (M^'-(Q_s*X^E))/(X^R-X^E) --> (2.31481481481481E-05-(10*0.003))/(0.002-0.003)

Evaluating ... ...

Q_w = 29.9768518518519

STEP 3: Convert Result to Output's Unit

29.9768518518519 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

29.9768518518519 ≈ 29.97685 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 Total Solids Removed

Credits

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

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

< 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 Total Solids Removed Formula

What is sludge wasting ?

Wasting removes solids buildup in the activated-sludge system, formed when solids amounts in the aeration-tank influent are greater than the solids amounts in the secondary-clarifier effluent. If sludge is not wasted, the secondary clarifier eventually fills up with solids.

How to Calculate Volume of Wasted Sludge Per Day given Total Solids Removed?

Volume of Wasted Sludge Per Day given Total Solids Removed calculator uses 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) to calculate the Volume of Wasted Sludge per day, Volume of Wasted Sludge Per Day given Total Solids Removed 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 Total Solids Removed using this online calculator? To use this online calculator for Volume of Wasted Sludge Per Day given Total Solids Removed, enter Mass of solids leaving the system (M^'), 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 Total Solids Removed calculation can be explained with given input values -> 29.97685 = (2.31481481481481E-05-(10*0.003))/(0.002-0.003).

FAQ

What is Volume of Wasted Sludge Per Day given Total Solids Removed?

Volume of Wasted Sludge Per Day given Total Solids Removed calculates volume of wasted sludge per day when we have prior information of other parameters used and is represented as Q_w = (M^'-(Q_s*X^E))/(X^R-X^E) or 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). Mass of solids leaving the system is calculated in terms of mass per day, 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 Total Solids Removed?

Volume of Wasted Sludge Per Day given Total Solids Removed 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 = (Mass of solids leaving the system-(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 Total Solids Removed, you need Mass of solids leaving the system (M^'), 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 Mass of solids leaving the system, 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 Mass of solids leaving the system, 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 = (((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 = (MLSS*Volume of Tank)/(Concentration of solids*Sludge Age)

Home

FREE PDFs

🔍 Search