Skip to main content

Circular Storm Drain Pipe Full-Flow Capacity Calculator (Manning)

Storm sewer pipelines transport rainfall runoff from streets, parking lots, and roofs to retention basins or natural watercourses.

Inside diameter of circular drainage pipe (450 mm = 18 inches).

Longitudinal bed slope (1.0% = 0.010 m/m).

Roughness coefficient (concrete ~0.013, smooth PVC/HDPE ~0.010, corrugated metal ~0.024).

Calculated Result
285.1 L/s

Full-Flow Pipe Discharge

Full Discharge Rate (Q)

0.285 m³/s (285.1 L/s)

Imperial Capacity (CFS)

10.07 cfs

Full-Flow Flow Velocity

1.79 m/s

Self-Cleansing Velocity

PASSED (Velocity ≥ 0.75 m/s prevents silt sedimentation)

Manning Roughness Coefficient

n = 0.013

Calculation Breakdown

  1. Pipe Hydraulic RadiusD = 0.45 m → Hydraulic Radius R_h = D / 4 = 0.1125 m
  2. Manning Velocity Equationv = (1 / 0.013) × (0.1125)^(2/3) × √(0.01) = 1.79 m/s
  3. Pipe Flow CapacityQ = v × A = 1.79 × 0.1590 m² = 0.285 m³/s

Drainage Flow Metrics

Interactive visualization based on your current inputs

Value
0.07.1142129Discharge (L/s / 10)Velocity (m/s)Slope (%)ParameterValue

What Is the Circular Storm Drain Pipe Full-Flow Capacity Calculator (Manning)?

Storm drain pipe capacity represents the volumetric flow rate a gravity-driven circular conduit can convey when running completely full under atmospheric pressure.

How Does the Circular Storm Drain Pipe Full-Flow Capacity Calculator (Manning) Work?

For a pipe flowing full, hydraulic radius is R = D/4. Manning's formula yields velocity v = (1/n)·R^(2/3)·S^(1/2), and discharge is Q = v·(π·D²/4).

Circular Storm Drain Pipe Full-Flow Capacity Calculator (Manning) Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q = \frac{1}{n} A R_h^{2/3} S^{1/2}, \quad v = \frac{1}{n} R_h^{2/3} S^{1/2}, \quad R_h = \frac{D}{4}

Manning gravity conduit flow equation determines circular pipe discharge and flow velocity when running completely full under gravity gradient.

How to Use the Circular Storm Drain Pipe Full-Flow Capacity Calculator (Manning)

  1. Enter internal pipe diameter in millimeters.
  2. Enter pipeline grade slope in percent.
  3. Select Manning roughness coefficient for pipe material.

Step-by-Step Example Calculation

450 mm (18-in) Concrete Pipe at 1.0% Slope

Input Values:

pipeDiameterMm:450
pipeSlopePercent:1.0
manningsN:0.013
Worked Steps: Delivers 285.3 L/s (0.285 m³/s or 10.08 cfs) at 1.79 m/s velocity, comfortably exceeding the 0.75 m/s self-cleansing requirement.

Understanding Your Result

Discharge Rate: Flow capacity in L/s, m³/s, and cfs.

Full-Flow Velocity: Water speed through conduit.

Self-Cleansing Check: Verification that flow speed exceeds 0.75 m/s.

Factors That Affect the Result

  • Diameter increases capacity to the power of 8/3 (D^2.67); steeper slopes and smoother pipe walls increase conveyance.

When Should You Use This Calculator?

  • Civil stormwater drainage sizing, culvert design, and municipal sewer master planning.

Assumptions & Limitations

  • Models uniform gravity flow without surcharging (zero pressurized pipe crown backwater).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Manning gravity circular conduit equation.

Explore more tools and calculators in Math Calculators