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Calcimator

Drainage Swale Calculator

Design a drainage swale using Manning's equation to determine channel dimensions for a target flow rate.

About this calculator

This calculator sizes a trapezoidal drainage channel by iteratively solving Manning's equation, Q = (1.49/n) x A x R^(2/3) x S^(1/2), for the bottom width and depth that carry your Design Flow Rate at the given slope and roughness. Raising Design Flow Rate always requires a larger Cross-Section Area to carry the additional water, since a bigger channel is the only way to convey more flow at a given slope and roughness. Manning's n represents channel roughness -- grass, bare soil, or rip-rap all resist flow differently -- and a rougher channel (a higher Manning's n) needs a larger Cross-Section Area to carry the same Design Flow Rate, because more of the flow's energy is lost to friction against the channel surface.

Channel Slope works the opposite way: a steeper slope lets gravity move the same flow through a smaller channel, so raising Channel Slope reduces the Cross-Section Area needed. Side Slope (H:V) affects the channel's shape (wider, shallower banks for mowability versus steeper banks that use less width) more than it affects the total capacity required. Flow Velocity should always be checked against erosion limits after sizing -- a channel with too little cross section for its slope can convey the design flow at a velocity that erodes an unlined or grass-lined swale over time.

Inputs

cfs
%
:1

Results

Bottom Width

2 ft

≈ 7 credit cards

Swale Depth

0.31 ft

Flow Velocity2.24 ft/s
Cross-Section Area0.89 sq ft
Top Width3.8 ft
How to Use This Calculator
  1. Enter the design flow rate (cfs) the swale needs to convey, from your stormwater calculations.
  2. Set the channel slope in percent and the side slope (H:V) ratio for the swale banks.
  3. Input Manning's n for the channel material (grass, bare soil, or rip-rap).
  4. Review the calculated bottom width, swale depth, cross-section area, and top width.
  5. Verify velocity stays within non-erosive limits (< 3 ft/s for bare soil, < 6 ft/s for grass-lined).

What each input means

Design Flow Rate
Required flow rate in cubic feet per second from stormwater calculations.
Channel Slope
Longitudinal slope of the swale in percent.
Side Slope (H:V)
Horizontal to vertical ratio of side slopes (3:1 recommended for mowing, 4:1 for safety).
Manning's n
Manning's roughness coefficient (grass ~0.035, bare soil ~0.02, rip-rap ~0.04).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Design Flow Rate = 2, Channel Slope = 2, Side Slope (H:V) = 3, Manning's n = 0.035 = 4 input(s) provided
  2. Calculate Bottom Width
    Bottom Width
    2 = 2
  3. Calculate Swale Depth
    0.31 = 0.31
  4. Calculate Flow Velocity
    Flow Velocity
    2.24 = 2.24
  5. Calculate Cross-Section Area
    0.89 = 0.89

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does a rougher channel material need a bigger cross-section?

Manning's n represents how much friction the channel surface creates against flowing water -- rip-rap and grass resist flow more than smooth bare soil does. To carry the same Design Flow Rate against more friction, the channel needs a larger Cross-Section Area, which is why raising Manning's n increases the calculated cross-section.

If I increase the channel slope, does the swale need to be bigger or smaller?

Smaller -- a steeper Channel Slope means gravity accelerates the water more, so the same Design Flow Rate can pass through a smaller Cross-Section Area at a steeper slope than it would need at a gentler one. This is why increasing slope reduces the calculated cross-section for a fixed flow rate.

Why does the calculator warn me to check Flow Velocity separately?

Sizing a channel for capacity (carrying the Design Flow Rate) and sizing it for erosion resistance are two different questions. A channel that is technically large enough to carry the design flow can still convey it at a velocity too high for the channel lining to withstand -- grass-lined swales are generally limited to under about 6 ft/s and bare soil to under about 3 ft/s to avoid scour.

Does Side Slope (H:V) change how much flow the swale can carry?

Side Slope primarily reshapes the channel -- flatter side slopes (like 4:1, often used for mowing safety) spread the same cross-sectional area over a wider, shallower profile, while steeper side slopes concentrate it into a narrower, deeper one. It has a smaller effect on the total capacity required than Design Flow Rate, Manning's n, or Channel Slope do.

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