Runoff Coefficient Calculator Formula

Understand the math behind the runoff coefficient calculator. Each variable explained with a worked example.

Formulas Used

Peak Runoff Rate

peak_flow = coeff_c * intensity * area_ha / 360

Peak Runoff Rate

peak_lps = coeff_c * intensity * area_ha / 360 * 1000

Variables

VariableDescriptionDefault
coeff_cRunoff Coefficient (C)0.6
intensityRainfall Intensity (i)(mm/h)100
area_haCatchment Area(hectares)5

How It Works

Rational Method for Stormwater Runoff

The Rational Method is the most widely used formula for estimating peak runoff from small catchments.

Formula

Q = C i A / 360

where Q is peak flow in m^3/s, C is the runoff coefficient (0 to 1), i is rainfall intensity in mm/h, and A is catchment area in hectares. The factor 360 converts units. This method assumes the entire catchment contributes to runoff when storm duration equals the time of concentration.

Worked Example

5 hectare urban catchment, C=0.6, 100 mm/h intensity.

coeff_c = 0.6intensity = 100area_ha = 5
  1. 01Q = 0.6 x 100 x 5 / 360 = 300/360 = 0.833 m^3/s
  2. 02Q = 833 L/s

Ready to run the numbers?

Open Runoff Coefficient Calculator