Channel Depth Calculator

Design drainage channels with confidence. Solve normal depth using flow, slope, roughness, and section geometry. Review charts, exports, and checks for smarter field decisions.

Calculator Inputs

Use SI units. Discharge in m³/s, depth and widths in meters, and slope as m/m.

Choose whether depth is solved or evaluated.
Common shapes used in site drainage work.
Target flow used for solving or checking.
Example: 0.002 equals a 0.2% slope.
Concrete, earth, and lined channels use different roughness.
Ignored for triangular sections.
For rectangular, enter 0.
Used when checking capacity at a chosen depth.
Used for solving brackets and graph range.
Adds a design allowance above hydraulic depth.
Controls displayed precision in outputs.

Formula Used

Manning Equation:
Q = (1 / n) × A × R2/3 × S1/2
Hydraulic Radius:
R = A / P
Velocity:
V = Q / A
Froude Number:
Fr = V / √(g × Dh)    where   Dh = A / T

Section Geometry

Rectangular: A = b y, P = b + 2y, T = b

Trapezoidal: A = y(b + zy), P = b + 2y√(1 + z²), T = b + 2zy

Triangular: A = zy², P = 2y√(1 + z²), T = 2zy

When normal depth is unknown, this file solves it iteratively using a bisection method until the calculated discharge matches the target discharge.

How to Use This Calculator

1) Select the channel shape

Pick rectangular, trapezoidal, or triangular. This changes the cross-section equations used for area, wetted perimeter, and top width.

2) Enter flow and roughness

Input design discharge, bed slope, and Manning n. These values drive the hydraulic capacity calculation.

3) Add section dimensions

Provide bottom width and side slope. For triangular channels, bottom width is ignored automatically.

4) Choose a calculation mode

Use normal depth mode to solve for required water depth. Use capacity mode to check an entered depth.

5) Review hydraulic outputs

The result section shows depth, capacity, velocity, hydraulic radius, and Froude number for quick design review.

6) Export the result

Use CSV for spreadsheets and PDF for site files, proposals, and construction checking records.

Example Data Table

Case Section Discharge (m³/s) Slope Manning n Bottom Width (m) Side Slope z Approx. Depth (m)
Site Drain A Rectangular 1.20 0.0015 0.014 1.50 0.00 0.68
Road Edge Drain Trapezoidal 2.50 0.0020 0.015 2.00 1.50 0.86
Temporary Earth Cut Triangular 0.90 0.0040 0.022 0.00 1.00 0.77

These rows are illustrative examples for construction planning and checking.

Frequently Asked Questions

1. What does this calculator solve?

It solves normal flow depth from Manning’s equation or checks the capacity of a channel at a depth you enter. It also reports velocity, hydraulic radius, top width, and flow regime.

2. Which channel shapes are supported?

The calculator supports rectangular, trapezoidal, and triangular open channels. These are common section shapes for site drains, lined channels, roadside ditches, and temporary earthworks.

3. What is Manning n?

Manning n is the roughness coefficient. Smoother channels have lower values, while rougher earth channels have higher values. Using the correct value is important for realistic depth and capacity estimates.

4. Why is freeboard included?

Freeboard adds a safety allowance above the hydraulic depth. Designers often include it to handle uncertainty, wave action, minor blockage, construction tolerances, and operational safety.

5. What does the Froude number tell me?

The Froude number indicates whether flow is subcritical, near critical, or supercritical. This helps you understand surface behavior, energy conditions, and whether transitions may require extra design attention.

6. Can I use this for concrete and earth channels?

Yes. The same hydraulic relationships apply to both. You mainly need to adjust Manning n, slope, and geometry to reflect the actual construction material and finished section.

7. Why does triangular mode ignore bottom width?

A true triangular channel has no flat invert width. Its geometry is defined only by depth and side slope, so the bottom width field is not needed in that section type.

8. How accurate are the exported results?

The exports use the same computed values shown on the page. Accuracy depends on the input quality, especially discharge estimates, slope, roughness, and whether the selected section matches site conditions.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.