Final answer:
In option 1, the primary sludge is transported in a separate pipeline to the digester, while in option 2, the primary and secondary sludge are mixed before being sent to the digester. For option 1, the volume required for 15 days of complete digestion is 11,812.5 m³, and for option 2, it is 14,362.5 m³. Option 1 is the better option as it requires a smaller volume for digestion.
Step-by-step explanation:
(a) Flow Diagrams:
Option 1: Raw wastewater ➡ Primary clarifier ➡ Primary sludge pipeline ➡ Digester
Option 2: Raw wastewater ➡ Primary clarifier ➡ Secondary clarifier ➡ Secondary sludge pipeline ➡ Mixing Tank ➡ Digester
(b) Volume Calculation for Option 1:
The primary sludge concentration is 5% solids. The primary sludge flow rate can be calculated by multiplying the raw wastewater flow rate by the removal efficiency: 22,500 m³/d × (100% - 30% = 70%) × 5% = 787.5 m³/d. To calculate the volume required for 15 days of complete digestion, we use the formula: volume = flow rate × digestion time = 787.5 m³/d × 15 days = 11,812.5 m³.
(c) Volume Calculation for Option 2:
The mixed sludge concentration is 3.5% solids. The mixed sludge flow rate can be calculated by adding the primary and secondary sludge flow rates: 787.5 m³/d + 1180 kg/d = 957.5 m³/d. Using the same volume calculation formula, the volume required for 15 days of complete digestion is: 957.5 m³/d × 15 days = 14,362.5 m³.
(d) Comment on the Better Option:
Option 1 is the better option because it requires a smaller volume for digestion compared to Option 2. This means that Option 1 is more efficient in terms of space requirements and may be more cost-effective.