Manning's Equation Calculator

Manning's equation, V = (k/n) R^(2/3) S^(1/2), worked for open channel flow in metric or US customary units. Pick a rectangular, trapezoidal, triangular or part-full circular section and the first tab returns the flow area, wetted perimeter, hydraulic radius, velocity, discharge, Froude number and critical depth. The second solves for normal depth by bisection, since the depth sits inside both the area and the perimeter and cannot be rearranged out. The third gives the bed slope a given discharge and depth would need. Roughness comes from a list of named linings that you can override with your own n.

Calculator Type
Units
Slope Given As

Enter the channel, the depth of water in it and the bed slope. Gives velocity, discharge, the hydraulic radius and whether the flow is sub or supercritical.

Used by the trapezoidal and triangular sections. 2 means 2 across for every 1 up.
Widget
Units
Slope Given As

The depth this channel settles at when it is carrying a given flow. Found by bisection, because Manning's equation cannot be rearranged for depth.

Widget
Units

Rearranges Manning's equation for S. Useful when the section and the depth are fixed and the grade is what you get to choose.

Widget