Sewage Inflow 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%
✖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%
✖Concentration of solids in the effluent is in the terms of density.ⓘ Concentration of solids in the effluent [X^E]			+10% -10%

✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Inflow Per Day given Sludge Age [Q_s]

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Formula

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Sewage Inflow Per Day given Sludge Age

Formula

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

Example

`"3.175m³/s"=((("9m³"*"1200mg/L")/"5d")-("9.5m³/s"*("2mg/L"-"3mg/L")))/"3mg/L"`

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Sewage Inflow Per Day given Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.
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.
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.
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)
Sludge Age: 5 Day --> 432000 Second (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)
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

Q_s = (((V*X)/θ_c)-(Q_w*(X^R-X^E)))/X^E --> (((9*1.2)/432000)-(9.5*(0.002-0.003)))/0.003

Evaluating ... ...

Q_s = 3.175

STEP 3: Convert Result to Output's Unit

3.175 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

3.175 Cubic Meter per Second <-- Sewage Discharge

(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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< 4 Sewage Inflow Calculators

Sewage Inflow Per Day given Sludge Age

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

Sewage Inflow Per Day given Mass of Wasted Activated Sludge

Go Sewage Discharge = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))

Sewage Inflow Per Day given Total Solids Removed

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

Sewage Inflow Per Day given Mass of Solids Removed

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

Sewage Inflow Per Day given Sludge Age Formula

What is sewage ?

Sewage, or domestic/municipal wastewater, is a type of wastewater that is produced by a community of people.Sewage usually travels from a building's plumbing either into a sewer, which will carry it elsewhere, or into an onsite sewage facility (of which there are many kinds).

How to Calculate Sewage Inflow Per Day given Sludge Age?

Sewage Inflow Per Day given Sludge Age calculator uses Sewage Discharge = (((Volume of Tank*MLSS)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of solids-Concentration of solids in the effluent)))/Concentration of solids in the effluent to calculate the Sewage Discharge, Sewage Inflow Per Day given Sludge Age is type of wastewater that is produced by community of people per day . Sewage Discharge is denoted by Q_s symbol.

How to calculate Sewage Inflow Per Day given Sludge Age using this online calculator? To use this online calculator for Sewage Inflow Per Day given Sludge Age, enter Volume of Tank (V), MLSS (X), Sludge Age (θ_c), Volume of Wasted Sludge per day (Q_w), Concentration of solids (X^R) & Concentration of solids in the effluent (X^E) and hit the calculate button. Here is how the Sewage Inflow Per Day given Sludge Age calculation can be explained with given input values -> 3.175 = (((9*1.2)/432000)-(9.5*(0.002-0.003)))/0.003.

FAQ

What is Sewage Inflow Per Day given Sludge Age?

Sewage Inflow Per Day given Sludge Age is type of wastewater that is produced by community of people per day and is represented as Q_s = (((V*X)/θ_c)-(Q_w*(X^R-X^E)))/X^E or Sewage Discharge = (((Volume of Tank*MLSS)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of solids-Concentration of solids in the effluent)))/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, Volume of wasted sludge per day is measured in terms of discharge, Concentration of solids in the returned sludge or in the wasted sludge & Concentration of solids in the effluent is in the terms of density.

How to calculate Sewage Inflow Per Day given Sludge Age?

Sewage Inflow Per Day given Sludge Age is type of wastewater that is produced by community of people per day is calculated using Sewage Discharge = (((Volume of Tank*MLSS)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of solids-Concentration of solids in the effluent)))/Concentration of solids in the effluent. To calculate Sewage Inflow Per Day given Sludge Age, you need Volume of Tank (V), MLSS (X), Sludge Age (θ_c), Volume of Wasted Sludge per day (Q_w), Concentration of solids (X^R) & Concentration of solids in the effluent (X^E). With our tool, you need to enter the respective value for Volume of Tank, MLSS, Sludge Age, Volume of Wasted Sludge per day, Concentration of solids & 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 Sewage Discharge?

In this formula, Sewage Discharge uses Volume of Tank, MLSS, Sludge Age, Volume of Wasted Sludge per day, Concentration of solids & Concentration of solids in the effluent. We can use 3 other way(s) to calculate the same, which is/are as follows -

Sewage Discharge = (Mass of Solids/Concentration of solids in the effluent)+Volume of Wasted Sludge per day
Sewage Discharge = (Mass of solids leaving the system-(Volume of Wasted Sludge per day*(Concentration of solids-Concentration of solids in the effluent)))/Concentration of solids in the effluent
Sewage Discharge = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))

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