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%
✖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%
✖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 [Q_w]			+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%
✖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%

✖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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Sewage Inflow Per Day given Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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)
Volume of Wasted Sludge per day: 9.5 Cubic Meter per Second --> 9.5 Cubic Meter per Second No Conversion Required
Concentration of Solids in Returned Sludge: 0.526 Milligram per Liter --> 0.000526 Kilogram per Cubic Meter (Check conversion here)
Concentration of Solids in Effluent: 10 Milligram per Liter --> 0.01 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*(0.000526-0.01)))/0.01

Evaluating ... ...

Q_s = 9.0028

STEP 3: Convert Result to Output's Unit

9.0028 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

9.0028 Cubic Meter per Second <-- Sewage Discharge

(Calculation completed in 00.020 seconds)

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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

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< Sewage Inflow Calculators

Sewage Inflow Per Day given Sludge Age

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

Sewage Inflow Per Day given Mass of Wasted Activated Sludge

LaTeX Go Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))

Sewage Inflow Per Day given Total Solids Removed

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

Sewage Inflow Per Day given Mass of Solids Removed

LaTeX Go Sewage Discharge = (Mass of Solids/Concentration of Solids in Effluent)+Volume of Wasted Sludge per day

Sewage Inflow Per Day given Sludge Age Formula

LaTeX Go

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*Mixed Liquor Suspended Solids)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent to calculate the Sewage Discharge, The Sewage Inflow Per Day given Sludge Age formula is defined as the value of the amount of sewage or wastewater that enters a treatment facility daily. 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), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Volume of Wasted Sludge per day (Q_w), Concentration of Solids in Returned Sludge (X^R) & Concentration of Solids in 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 -> 7.6025 = (((9*1.2)/432000)-(9.5*(concentration_solid_432000-0.01)))/0.01.

FAQ

What is Sewage Inflow Per Day given Sludge Age?

The Sewage Inflow Per Day given Sludge Age formula is defined as the value of the amount of sewage or wastewater that enters a treatment facility daily and is represented as Q_s = (((V*X^')/θ_c)-(Q_w*(X^R-X^E)))/X^E or Sewage Discharge = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/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, Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period, 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 Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid).

How to calculate Sewage Inflow Per Day given Sludge Age?

The Sewage Inflow Per Day given Sludge Age formula is defined as the value of the amount of sewage or wastewater that enters a treatment facility daily is calculated using Sewage Discharge = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent. To calculate Sewage Inflow Per Day given Sludge Age, you need Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Volume of Wasted Sludge per day (Q_w), Concentration of Solids in Returned Sludge (X^R) & Concentration of Solids in Effluent (X^E). With our tool, you need to enter the respective value for Volume of Tank, Mixed Liquor Suspended Solids, Sludge Age, Volume of Wasted Sludge per day, Concentration of Solids in Returned Sludge & Concentration of Solids in 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, Mixed Liquor Suspended Solids, Sludge Age, Volume of Wasted Sludge per day, Concentration of Solids in Returned Sludge & Concentration of Solids in 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 Effluent)+Volume of Wasted Sludge per day
Sewage Discharge = (Mass of Solids Leaving the System-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent
Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))

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