Sewage Inflow Per Day Given Mass Of Wasted Activated Sludge Calculator

Formula Used:

\[ Q_s = \frac{M_{ws} + (K_e \times V \times X')}{Y \times (Q_i - Q_o)} \]

Mass of Wasted Activated Sludge (Mws):

Endogenous Respiration Rate Constant (Ke):

1/s

Volume of Tank (V):

m³

Mixed Liquor Suspended Solids (X'):

kg/m³

Maximum Yield Coefficient (Y):

Influent BOD (Qi):

kg/m³

Effluent BOD (Qo):

kg/m³

Sewage Discharge (Qs):

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1. What is Sewage Inflow Per Day Given Mass Of Wasted Activated Sludge?

This calculation determines the sewage discharge flow rate based on the mass of wasted activated sludge and other wastewater treatment parameters. It's essential for designing and optimizing activated sludge systems in wastewater treatment plants.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q_s = \frac{M_{ws} + (K_e \times V \times X')}{Y \times (Q_i - Q_o)} \]

Where:

\( Q_s \) — Sewage Discharge (m³/s)
\( M_{ws} \) — Mass of Wasted Activated Sludge (kg)
\( K_e \) — Endogenous Respiration Rate Constant (1/s)
\( V \) — Volume of Tank (m³)
\( X' \) — Mixed Liquor Suspended Solids (kg/m³)
\( Y \) — Maximum Yield Coefficient
\( Q_i \) — Influent BOD (kg/m³)
\( Q_o \) — Effluent BOD (kg/m³)

Explanation: This formula calculates the sewage discharge rate by considering the mass balance of organic matter and biomass in the activated sludge system.

3. Importance of Sewage Discharge Calculation

Details: Accurate calculation of sewage discharge is crucial for proper design of wastewater treatment plants, optimizing treatment efficiency, and ensuring compliance with environmental regulations.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure Influent BOD is greater than Effluent BOD for valid calculation. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the Endogenous Respiration Rate Constant?
A: The endogenous respiration rate constant represents the rate at which microorganisms consume their own cellular material under starvation conditions.

Q2: How does Mixed Liquor Suspended Solids affect the calculation?
A: MLSS concentration directly impacts the biomass available for organic matter degradation and thus affects the sewage discharge calculation.

Q3: What is the typical range for Maximum Yield Coefficient?
A: The maximum yield coefficient typically ranges from 0.4 to 0.8 mg cells/mg substrate for most wastewater treatment systems.

Q4: Why is the difference between Influent and Effluent BOD important?
A: This difference represents the amount of organic matter removed by the treatment process, which is directly related to the biomass production.

Q5: What are the limitations of this calculation?
A: This calculation assumes steady-state conditions and may not accurately represent dynamic changes in wastewater characteristics or treatment performance.