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Sewage Inflow Per Day given Sludge Age Formula

GoSewage Inflow Per Day given Mass of Solids Removed Formula

GoSewage Inflow Per Day given Total Solids Removed Formula

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Sewage Discharge is the flow rate of sewage when it is being discharged in the river. Check FAQs

Q s = \frac{(\frac{V \cdot X'}{θ c}) - (Q w \cdot (X R - X E))}{X E}

Q_s - Sewage Discharge?V - Volume of Tank?X^' - Mixed Liquor Suspended Solids?θ_c - Sludge Age?Q_w - Volume of Wasted Sludge per day?X^R - Concentration of Solids in Returned Sludge?X^E - Concentration of Solids in Effluent?

Sewage Inflow Per Day given Sludge Age Example

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Here is how the Sewage Inflow Per Day given Sludge Age equation looks like with Values.

Here is how the Sewage Inflow Per Day given Sludge Age equation looks like with Units.

Here is how the Sewage Inflow Per Day given Sludge Age equation looks like.

9.0028 = \frac{(\frac{9 \cdot 1200}{5}) - (9.5 \cdot (0.526 - 10))}{10}

9.0028m³/s = \frac{(\frac{9m³ \cdot 1200mg/L}{5d}) - (9.5m³/s \cdot (0.526mg/L - 10mg/L))}{10mg/L}

9.0028 = \frac{(\frac{9 \cdot 1200}{5}) - (9.5 \cdot (0.526 - 10))}{10}

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Sewage Inflow Per Day given Sludge Age Solution

Follow our step by step solution on how to calculate Sewage Inflow Per Day given Sludge Age?

FIRST Step Consider the formula

Q s = \frac{(\frac{V \cdot X'}{θ c}) - (Q w \cdot (X R - X E))}{X E}

Next Step Substitute values of Variables

∴

Q s = \frac{(\frac{9m³ \cdot 1200mg/L}{5d}) - (9.5m³/s \cdot (0.526mg/L - 10mg/L))}{10mg/L}

Next Step Convert Units

∴

Q s = \frac{(\frac{9m³ \cdot 1.2kg/m³}{432000s}) - (9.5m³/s \cdot (0.0005kg/m³ - 0.01kg/m³))}{0.01kg/m³}

Next Step Prepare to Evaluate

∴

Q s = \frac{(\frac{9 \cdot 1.2}{432000}) - (9.5 \cdot (0.0005 - 0.01))}{0.01}

LAST Step Evaluate

∴

Q s = 9.0028m³/s

Sewage Inflow Per Day given Sludge Age Formula Elements

Variables

Sewage Discharge

Sewage Discharge is the flow rate of sewage when it is being discharged in the river.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Discharge

Volume of Tank

Volume of Tank is defined as the capacity of flocculation and mixing tank.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tank

Mixed Liquor Suspended Solids

Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

Symbol: X^'

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find Mixed Liquor Suspended Solids

Sludge Age

Sludge Age is the average time for which the particle of suspended solids remains in aeration.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Sludge Age

Volume of Wasted Sludge per day

Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volume of Wasted Sludge per day

Concentration of Solids in Returned Sludge

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.

Symbol: X^R

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Concentration of Solids in Returned Sludge

Concentration of Solids in Effluent

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).

Symbol: X^E

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Concentration of Solids in Effluent

Other Formulas to find Sewage Discharge

Go Sewage Inflow Per Day given Mass of Solids Removed

Q s = (\frac{M s}{X E}) + Q w

Go Sewage Inflow Per Day given Total Solids Removed

Q s = \frac{M' - (Q w \cdot (X R - X E))}{X E}

How to Evaluate Sewage Inflow Per Day given Sludge Age?

Sewage Inflow Per Day given Sludge Age evaluator 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 evaluate 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 evaluate Sewage Inflow Per Day given Sludge Age using this online evaluator? To use this online evaluator 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.

FAQs on Sewage Inflow Per Day given Sludge Age

What is the formula to find Sewage Inflow Per Day given Sludge Age?

The formula of Sewage Inflow Per Day given Sludge Age is expressed as 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. Here is an example- 7.6025 = (((9*1.2)/432000)-(9.5*(concentration_solid_432000-0.01)))/0.01.

How to calculate Sewage Inflow Per Day given Sludge Age?

With 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) we can find Sewage Inflow Per Day given Sludge Age using the formula - 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.

What are the other ways to Calculate Sewage Discharge?

Here are the different ways to Calculate Sewage Discharge-

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))

Can the Sewage Inflow Per Day given Sludge Age be negative?

No, the Sewage Inflow Per Day given Sludge Age, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Sewage Inflow Per Day given Sludge Age?

Sewage Inflow Per Day given Sludge Age is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Sewage Inflow Per Day given Sludge Age can be measured.

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Sewage Inflow Per Day given Sludge Age Formula

​GoSewage Inflow Per Day given Mass of Solids Removed Formula

​GoSewage Inflow Per Day given Total Solids Removed Formula

Sewage Inflow Per Day given Sludge Age Example

Sewage Inflow Per Day given Sludge Age Solution

Sewage Inflow Per Day given Sludge Age Formula Elements

Other Formulas to find Sewage Discharge

How to Evaluate Sewage Inflow Per Day given Sludge Age?

FAQs on Sewage Inflow Per Day given Sludge Age

Variable Name

GoSewage Inflow Per Day given Mass of Solids Removed Formula

GoSewage Inflow Per Day given Total Solids Removed Formula