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Rectangular sedimentation tank for 3000 persons

Short answer

Plan dimensions are 9.5 m × 3.2 m with 3 m effective depth and total depth 3.8 m. Detention time is 6.08 h, SOR 11.8 m³/m²/day, and horizontal velocity 0.026 m/min, all satisfactory.

A rectangular sedimentation tank is to be provided to treat water for 3000 persons at per capita daily allowance of 120 liters. Propose the dimensions of the sedimentation tank assuming detention period of 6 hours.

Data and assumptions

Population 3000; 120 lpcd; t=6t=6 h. Assumed: effective depth H=3H=3 m, L:B=3:1L:B=3:1 (no peak factor is given).

Step 1: Flow and volume

Q=3000×120=360 000 l/day=360 m3/dayQ=3000\times120=360\,000\ \text{l/day}=360\ \text{m}^3/\text{day} V=36024×6=90.0 m3V=\frac{360}{24}\times6=90.0\ \text{m}^3

Step 2: Plan area and size

A=VH=90.03=30.0 m2,3B2=30.0⇒B=3.16 m, L=3B=9.49 mA=\frac{V}{H}=\frac{90.0}{3}=30.0\ \text{m}^2,\qquad 3B^2=30.0\Rightarrow B=3.16\ \text{m},\ L=3B=9.49\ \text{m}

Adopt B=3.2B=3.2 m and L=9.5L=9.5 m.

Step 3: Checks

t=3.2×9.5×3360×24=6.08 h,SOR=36030.4=11.8 m3/m2/day,v=3603.2×3×1440=0.026 m/mint=\frac{3.2\times9.5\times3}{360}\times24=6.08\ \text{h},\quad \text{SOR}=\frac{360}{30.4}=11.8\ \text{m}^3/\text{m}^2/\text{day},\quad v=\frac{360}{3.2\times3\times1440}=0.026\ \text{m/min}

The velocity is far below 0.3 m/min. The SOR is low (safe).

Answer: provide a tank 9.5 m ×\times 3.2 m in plan with 3 m effective depth (add 0.3 m free board and 0.5 m sludge zone, so 3.8 m total).

✓ Answer checked by Claude Opus 5.5 (high effort)

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