The perfectly mixed aeration pond with no recycle (return line) above serves as the biological reactor for a small community. The pond receives 30 m3/d of influent with a BOD5 of 350 mg/L that must be reduced to 20 mg/L before discharge. It has been found that the kinetic constants for the system are Ks=100mg/L BOD5, kd=0.10 d—1 , μm = 1.6 d—1 , and Y is 0.60 mg VSS/mg BOD5.  Note:  In this system each day, the bacteria have to grow at the same rate as they leave in the effluent, in order for the bacteria population to stay at a steady state concentration.   What must the hydraulic detention time be in the aeration pond?  You should perform a mass balance on microbe mass to solve this question.

Structural Analysis
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Chapter2: Loads On Structures
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The question refers to a well-mixed aeration pond or aeration lagoon that can be modeled according to the diagram below. The pond is simply a body of water that holds the wastewater for some detention time before the waste degrades or leaves in the effluent stream. There is no recycle line. You should derive a mass balance on X to solve these problems, make sure to include all terms in the mass balance. You may assume no X flows in with the influent. 

The perfectly mixed aeration pond with no recycle (return line) above serves as the biological reactor for a small community. The pond receives 30 m3/d of influent with a BOD5 of 350 mg/L that must be reduced to 20 mg/L before discharge. It has been found that the kinetic constants for the system are Ks=100mg/L BOD5, kd=0.10 d—1 , μm = 1.6 d—1 , and Y is 0.60 mg VSS/mg BOD5.  Note:  In this system each day, the bacteria have to grow at the same rate as they leave in the effluent, in order for the bacteria population to stay at a steady state concentration.   What must the hydraulic detention time be in the aeration pond?  You should perform a mass balance on microbe mass to solve this question. 

 

This diagram illustrates a well-mixed aeration lagoon used in water treatment processes.

**Components and Labels:**

1. **Inflow and Outflow:**
   - On the left side, the inflow is labeled as \( Q, S_0, X_0 \).
     - \( Q \) represents the flow rate.
     - \( S_0 \) represents the initial substrate concentration.
     - \( X_0 \) represents the initial biomass concentration.
   - On the right side, the outflow is labeled as \( Q, S, X \).
     - \( Q \) remains the flow rate, assuming steady state conditions.
     - \( S \) represents the substrate concentration in the outflow.
     - \( X \) represents the biomass concentration in the outflow.

2. **Aeration Lagoon:**
   - The central rectangular box represents the well-mixed aeration lagoon.
   - It contains an agitator symbol, indicating the mixing process within the lagoon.
   - Inside the lagoon, the following variables are present:
     - \( V \): Volume of the lagoon.
     - \( S \): Substrate concentration within the lagoon.
     - \( X \): Biomass concentration within the lagoon.
     - \( r_g \): Rate of biomass growth.
     - \( r_{su} \): Rate of substrate utilization.

This system design ensures that the lagoon maintains a constant and even distribution of biomass and substrate through continuous stirring, allowing for effective biological treatment of wastewater.
Transcribed Image Text:This diagram illustrates a well-mixed aeration lagoon used in water treatment processes. **Components and Labels:** 1. **Inflow and Outflow:** - On the left side, the inflow is labeled as \( Q, S_0, X_0 \). - \( Q \) represents the flow rate. - \( S_0 \) represents the initial substrate concentration. - \( X_0 \) represents the initial biomass concentration. - On the right side, the outflow is labeled as \( Q, S, X \). - \( Q \) remains the flow rate, assuming steady state conditions. - \( S \) represents the substrate concentration in the outflow. - \( X \) represents the biomass concentration in the outflow. 2. **Aeration Lagoon:** - The central rectangular box represents the well-mixed aeration lagoon. - It contains an agitator symbol, indicating the mixing process within the lagoon. - Inside the lagoon, the following variables are present: - \( V \): Volume of the lagoon. - \( S \): Substrate concentration within the lagoon. - \( X \): Biomass concentration within the lagoon. - \( r_g \): Rate of biomass growth. - \( r_{su} \): Rate of substrate utilization. This system design ensures that the lagoon maintains a constant and even distribution of biomass and substrate through continuous stirring, allowing for effective biological treatment of wastewater.
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