PPolySim OS

Open-Channel Flow

How much water can a canal, ditch, or storm drain carry? Set the geometry and slope and Manning's equation gives you the velocity, discharge, and flow regime.

Open-Channel Flow (Manning)Live

Controls

Presets

Manning’s equation predicts flow in an open channel: V = (1/n)·R^⅔·√S, where R is the hydraulic radius and n the roughness. The Froude number tells you whether flow is tranquil (Fr < 1) or rapid. Educational tool.

▶ Run in Python

Data Inspector

Velocity1.73 m/s
Flow rate Q5.19 m³/s
Hydraulic radius0.600 m
Froude number0.55

Governing equation

Reading this result: Froude number 0.55 is below 1: the flow is subcritical (deep, slow, tranquil), so disturbances can travel upstream and downstream depth controls the flow.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →
★ Sign in to save this setup
Save your tuned setup, or drop this simulation into your own site, docs, or course page.

How it works

Manning's equation, V = (1/n)·R^⅔·√S, predicts open-channel velocity from the hydraulic radius R (area ÷ wetted perimeter), bed slope S, and roughness n. The Froude number classifies the flow as subcritical (tranquil) or supercritical (rapid). Educational tool.

Ask the AI about this model

The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.

More Engineering simulations

Frequently asked questions

Is this mannings equation calculator tool really free?
Yes. Open-Channel Flow runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.