Concrete Drain Pipe Gravity Flow

Non-full and full gravity flow in a concrete drainage pipe. Area ω, wetted perimeter χ, hydraulic radius R, Chezy coefficient C = R^(1/6)/n, velocity and discharge.

Bore D (mm) Fill H/D Slope i (‰) Rough n Depth H (mm) θ (°) Surf. width (m) Area ω (m²) Wetted χ (m) Radius R (m) Chezy C v (m/s) Q (m³/s) Qh (m³/h)
Max velocity
m/s
Total flow ΣQ
m³/s

Non-full: H = D·H/D, G = (D/2 − H)/(D/2), θ = acos(G)·180·2/π. Surface width = sin(θ/2)·D/1000. Area ω = (D/2000)²·π/360·θ − (D/2000 − H/1000)·surface/2. Wetted χ = π·D/1000·θ/360, R = ω/χ, C = R^(1/6)/n, v = C·√(R·i/1000), Q = ω·v (n = 0.014, i in ‰). Full: ω = π·D²/4·10⁻⁶, χ = π·D/1000, otherwise identical.