Sewage Inflow Per Day given Mass of Wasted Activated Sludge Calculator

✖Mass of solids means the actuall weight of the solid particle present in the sewage.ⓘ Mass of Solids [M_s]			+10% -10%
✖Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.ⓘ Endogenous Respiration Rate Constant [K^e]			+10% -10%
✖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%
✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%

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

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Formula

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Sewage Inflow Per Day given Mass of Wasted Activated Sludge

Formula

`"Q"_{"s"} = ("M"_{"s"}+("K"^{"e"}*"V"*"X"))/("Y"*("Q"_{"i"}-"Q"_{"o"}))`

Example

`"0.99537m³/s"=("5g"+("3d⁻¹"*"9m³"*"1200mg/L"))/("0.5"*("11.2mg/L"-"0.4mg/L"))`

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Sewage Inflow Per Day given Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sewage Discharge = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))
Q_s = (M_s+(K^e*V*X))/(Y*(Q_i-Q_o))
This formula uses 8 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.
Mass of Solids - (Measured in Kilogram) - Mass of solids means the actuall weight of the solid particle present in the sewage.
Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.
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).
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.

STEP 1: Convert Input(s) to Base Unit

Mass of Solids: 5 Gram --> 0.005 Kilogram (Check conversion here)
Endogenous Respiration Rate Constant: 3 1 Per Day --> 3.47222222222222E-05 1 Per Second (Check conversion here)
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)
Maximum Yield Coefficient: 0.5 --> No Conversion Required
Influent BOD: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = (M_s+(K^e*V*X))/(Y*(Q_i-Q_o)) --> (0.005+(3.47222222222222E-05*9*1.2))/(0.5*(0.0112-0.0004))

Evaluating ... ...

Q_s = 0.99537037037037

STEP 3: Convert Result to Output's Unit

0.99537037037037 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.99537037037037 ≈ 0.99537 Cubic Meter per Second <-- Sewage Discharge

(Calculation completed in 00.004 seconds)

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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

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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 Mass of Wasted Activated Sludge Formula

Sewage Discharge = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))
Q_s = (M_s+(K^e*V*X))/(Y*(Q_i-Q_o))

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 Mass of Wasted Activated Sludge?

Sewage Inflow Per Day given Mass of Wasted Activated Sludge calculator uses Sewage Discharge = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)) to calculate the Sewage Discharge, Sewage Inflow Per Day given Mass of Wasted Activated Sludge calculates sewage inflow per day when we have prior information of other parameters used. Sewage Discharge is denoted by Q_s symbol.

How to calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge using this online calculator? To use this online calculator for Sewage Inflow Per Day given Mass of Wasted Activated Sludge, enter Mass of Solids (M_s), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), MLSS (X), Maximum Yield Coefficient (Y), Influent BOD (Q_i) & Effluent BOD (Q_o) and hit the calculate button. Here is how the Sewage Inflow Per Day given Mass of Wasted Activated Sludge calculation can be explained with given input values -> 0.99537 = (0.005+(3.47222222222222E-05*9*1.2))/(0.5*(0.0112-0.0004)).

FAQ

What is Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

Sewage Inflow Per Day given Mass of Wasted Activated Sludge calculates sewage inflow per day when we have prior information of other parameters used and is represented as Q_s = (M_s+(K^e*V*X))/(Y*(Q_i-Q_o)) or Sewage Discharge = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)). Mass of solids means the actuall weight of the solid particle present in the sewage, Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system, 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), Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed, Influent BOD is the total amount of BOD which is present in the incoming sewage & Effluent BOD is the amount of BOD present in the outing sewage.

How to calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge?

Sewage Inflow Per Day given Mass of Wasted Activated Sludge calculates sewage inflow per day when we have prior information of other parameters used is calculated using Sewage Discharge = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)). To calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge, you need Mass of Solids (M_s), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), MLSS (X), Maximum Yield Coefficient (Y), Influent BOD (Q_i) & Effluent BOD (Q_o). With our tool, you need to enter the respective value for Mass of Solids, Endogenous Respiration Rate Constant, Volume of Tank, MLSS, Maximum Yield Coefficient, Influent BOD & Effluent BOD 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 Mass of Solids, Endogenous Respiration Rate Constant, Volume of Tank, MLSS, Maximum Yield Coefficient, Influent BOD & Effluent BOD. 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 = (((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

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