- 2070 Chaitra (old course)
Slow sand filter for 3500 population
Short answer
Design flow is 157.5 m³/day (6.56 m³/h) for 3,500 people at 45 lpcd. Using filtration rate 0.2 m³/m²/h, total filter area 32.8 m². Provide 2 working + 1 standby units, each 2.9m × 5.8m (16.8 m²), total depth 2.7m including sand, gravel, under-drain and freeboard.
Average water consumption rate is 45 lps in the village. Design a slow sand filtration unit for a community having the population of 3500 at the base year 2048 AD. Assume necessary data suitably.
The consumption "45 lps" is read as 45 lpcd (45 lps for 3,500 people is impossible). The population of 3,500 is taken as the design population. A filtration rate of 0.2 m³/m²/h is assumed.
Step 1: Design flow
- Design population = 3,500 (given)
- Daily demand m³/day = 6.56 m³/h
Step 2: Area and number of units
- Filtration rate = 0.2 m³/m²/h (range for slow sand filters 0.1–0.4)
- Total area m²
- Keep each unit below about 100 m² and use at least 2 working units: working units n = 2, plus 1 standby unit for cleaning, so 3 units in all
- Area of one unit m²
- Take : m. Adopt B = 2.9 m, L = 5.8 m (area 16.8 m² each)
- Check: rate with 2 working units = 0.195 m/h (OK)
Step 3: Depth of unit
| Component | Depth |
|---|---|
| Free board | 0.3 m |
| Supernatant water | 1.0 m |
| Filter sand (effective size 0.2–0.3 mm, UC 3–5) | 0.9 m |
| Gravel in 3 layers (3–6, 6–12, 12–40 mm) | 0.3 m |
| Under-drain space (central drain and laterals) | 0.2 m |
| Total | 2.7 m |
Sand is scraped 15–25 mm every 1–2 months; when its depth falls to 0.5 m it is topped up to 0.9 m. Inlet and outlet chambers, a filtered-water weir, a drain valve and a filter-to-waste connection complete each unit.
Step 4: Section
inlet -> | free board 0.3 m |
|~~~~ supernatant water 1.0 m ~~|
|-------------------------------|
| filter sand 0.9 m |
|-------------------------------|
| gravel 0.3 m (3 layers) |
|==o==o== under-drain 0.2 m ==o=|
|
outlet weir -> filtered water tank
Answer: 2 working + 1 standby slow sand filters, each 2.9 m × 5.8 m (16.8 m²), total depth about 2.7 m.
✓ Answer checked by Claude Opus 5.5 (high effort)
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