Sewage Discharge given Volume of Aeration Tank Calculator

Sewage Discharge Given Volume of Aeration Tank Calculator

Formula Used:

\[ Q_s = \frac{V}{\frac{Y \times (Q_i - Q_o) \times \theta_c}{X \times (1 + K_e \times \theta_c)}} \]

Volume of Tank (V):

m³

Maximum Yield Coefficient (Y):

Influent BOD (Qi):

kg/m³

Effluent BOD (Qo):

kg/m³

Sludge Age (θc):

seconds

MLSS (X):

kg/m³

Endogenous Respiration Rate Constant (Ke):

1/s

Sewage Discharge (Qs):

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1. What is Sewage Discharge Calculation?

The sewage discharge calculation determines the flow rate of sewage when discharged into water bodies, considering various biological and chemical parameters in the treatment process.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q_s = \frac{V}{\frac{Y \times (Q_i - Q_o) \times \theta_c}{X \times (1 + K_e \times \theta_c)}} \]

Where:

\( Q_s \) — Sewage discharge (m³/s)
\( V \) — Volume of tank (m³)
\( Y \) — Maximum yield coefficient
\( Q_i \) — Influent BOD (kg/m³)
\( Q_o \) — Effluent BOD (kg/m³)
\( \theta_c \) — Sludge age (seconds)
\( X \) — MLSS (kg/m³)
\( K_e \) — Endogenous respiration rate constant (1/s)

Explanation: This formula calculates sewage discharge based on the biological treatment process parameters in an aeration tank system.

3. Importance of Sewage Discharge Calculation

Details: Accurate sewage discharge calculation is crucial for designing wastewater treatment plants, ensuring regulatory compliance, and protecting receiving water bodies from pollution.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of sludge age in this calculation?
A: Sludge age represents the average retention time of microorganisms in the system, which affects treatment efficiency and biomass concentration.

Q2: How does MLSS affect sewage discharge?
A: MLSS (Mixed Liquor Suspended Solids) concentration influences the biological treatment capacity and thus affects the calculated sewage discharge rate.

Q3: What are typical values for the 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 endogenous respiration rate important?
A: This constant accounts for microbial decay and maintenance energy requirements, which affect the net biomass production in the system.

Q5: What units should be used for accurate calculations?
A: Consistent SI units must be used as specified in the input fields (m³ for volume, kg/m³ for concentrations, seconds for time).