Self-cleansing velocity: For a sewer containing 1 mm sand particles (specific gravity 2.65) and 5 mm organic particles (specific gravity 1.2), what is the minimum velocity typically required to move the solids without deposition?
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A0.30 m/s
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B0.35 m/s
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C0.40 m/s
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D0.45 m/s
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E0.50 m/s
Answer
Correct Answer: 0.45 m/s
Explanation
Introduction / Context:
Sewer design targets a self-cleansing velocity that prevents the settlement of typical solids—heavy mineral grit (e.g., 1 mm sand, SG ≈ 2.65) and lighter organic particles (e.g., 5 mm, SG ≈ 1.2). Achieving a minimum velocity reduces maintenance and odors.
Given Data / Assumptions:
- Sand particles: 1 mm, SG 2.65 (heavier, settle faster).
- Organic particles: 5 mm, SG 1.2 (larger but near-neutral density).
- Objective: select a practical minimum velocity for self-cleansing.
Concept / Approach:
Empirical practice and sediment transport considerations suggest minimum velocities around 0.45–0.6 m/s for sanitary sewers to move common grit under normal flows. The heavier sand dictates the controlling criterion; hence values near the upper end of common minima are used.
Step-by-Step Solution:
Recognize that 1 mm quartz sand is the controlling solid due to its higher density.Adopt a standard self-cleansing target: ≈ 0.45 m/s for small to medium sanitary sewers (larger for storm sewers).Select the closest offered value meeting this criterion.Verification / Alternative check:
Design handbooks cite 0.45 m/s (about 1.5 ft/s) as a commonly accepted minimum for sanitary systems carrying typical grit loads, supporting the chosen value over lower velocities.
Why Other Options Are Wrong:
- 0.30–0.40 m/s: Often insufficient for 1 mm mineral grit, risking deposition.
- 0.50 m/s: Acceptable and conservative, but when choosing a minimum from listed options, 0.45 m/s reflects the standard benchmark.
Common Pitfalls:
- Ignoring that grit, not organics, typically governs the required minimum velocity.
Final Answer:
0.45 m/s