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Stormwater Pipe Sizing Calculator
Manning's Equation — Gravity Flow

Size gravity stormwater pipes using Manning's equation. Enter your peak flow Q (from Rational Method), pipe slope, and roughness coefficient — get the minimum pipe diameter to run full. EN/ASTM standard diameters recommended.

Manning's Pipe Sizing Calculator

Manning's Equation for Circular Pipes (Full Flow)

Q = (1/n) × A × R^(2/3) × S^(1/2) → D_min = (Q × n / (0.3117 × S^0.5))^(3/8)

For a circular pipe running full: A = π D²/4, hydraulic radius R = D/4. Substituting and rearranging gives the minimum diameter D_min in metres. Always round up to the next standard nominal diameter.

Manning's n — Common Pipe Materials

Pipe materialn (typical)Notes
Concrete (precast)0.013Most common for gravity stormwater
Concrete (in-situ)0.015Rougher finish than precast
PVC / HDPE (smooth)0.010Plastic pipes, very smooth
Clay / vitrified0.013Traditional drainage
Corrugated metal0.024Culverts, higher roughness
Cast iron0.014Older installations

Standard Nominal Diameters (EN 476 / ASTM)

Always specify the next standard DN above your calculated D_min. Common gravity drainage diameters (mm): 150, 225, 300, 375, 450, 525, 600, 750, 900, 1050, 1200.

Worked Example

Given: Q = 48 L/s = 0.048 m³/s, S = 0.010, n = 0.013 (precast concrete).

Step 1: D_min = (0.048 × 0.013 / (0.3117 × √0.010))^(3/8)
= (6.24 × 10⁻⁴ / 0.03117)^(3/8) = (0.02002)^(3/8) = 0.268 m = 268 mm

Step 2: Next standard size above 268 mm → DN 300 (300 mm precast concrete).

Step 3 — Velocity check: V_full = Q / A = 0.048 / (π × 0.3² / 4) = 0.68 m/s. ✓ Above 0.6 m/s self-cleansing minimum.

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