Maximum Yield Coefficient Given Volume Of Aeration Tank Calculator

Maximum Yield Coefficient Formula:

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

Volume Of Tank (V):

m³

Sewage Discharge (Qₛ):

m³/s

Influent BOD (Qᵢ):

kg/m³

Effluent BOD (Qₒ):

kg/m³

Sludge Age (θc):

MLSS (X):

kg/m³

Endogenous Respiration Rate Constant (Kₑ):

1/s

Maximum Yield Coefficient (Y):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Is Maximum Yield Coefficient?

The Maximum Yield Coefficient (Y) represents the maximum mg of cells produced per mg organic matter removed in biological wastewater treatment systems. It's a key parameter in activated sludge process design and optimization.

2. How Does The Calculator Work?

The calculator uses the formula:

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

Where:

\( Y \) — Maximum Yield Coefficient (mg cells/mg organic matter)
\( V \) — Volume of tank (m³)
\( Q_s \) — Sewage discharge (m³/s)
\( Q_i \) — Influent BOD (kg/m³)
\( Q_o \) — Effluent BOD (kg/m³)
\( \theta_c \) — Sludge age (s)
\( X \) — MLSS (kg/m³)
\( K_e \) — Endogenous respiration rate constant (1/s)

Explanation: This formula calculates the maximum cell yield based on tank volume, flow characteristics, and biological process parameters.

3. Importance Of Maximum Yield Coefficient Calculation

Details: Accurate calculation of maximum yield coefficient is crucial for designing efficient wastewater treatment systems, predicting biomass production, and optimizing process performance in activated sludge plants.

4. Using The Calculator

Tips: Enter all required parameters with appropriate units. Ensure influent BOD is greater than effluent BOD for meaningful results. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Maximum Yield Coefficient?
A: Typically ranges from 0.4 to 0.8 mg cells/mg BOD removed, depending on wastewater characteristics and microbial population.

Q2: How does sludge age affect the yield coefficient?
A: Longer sludge ages generally result in lower observed yield coefficients due to increased endogenous respiration.

Q3: What factors influence the Maximum Yield Coefficient?
A: Wastewater composition, temperature, microbial community, and substrate type all influence the yield coefficient.

Q4: How is this parameter used in process design?
A: It helps determine oxygen requirements, sludge production rates, and reactor sizing in biological treatment systems.

Q5: What's the difference between maximum and observed yield coefficient?
A: Maximum yield coefficient represents theoretical maximum cell production, while observed yield accounts for cell decay and maintenance energy requirements.