Froude Number Calculator
Determine the Froude number for the fluid flow using the Froude number calculator.
What Froude Number Calculator does
The Froude Number Calculator on Omni Calculator determines the Froude number for open-channel fluid flow by requiring inputs such as flow velocity, hydraulic depth, and gravitational acceleration. It outputs a dimensionless value that classifies the flow as subcritical, critical, or supercritical relative to gravity. The calculator also defines hydraulic depth as the ratio of cross-sectional area to channel width, supporting both rectangular and non-rectangular channels. Beyond the numerical result, the tool provides context on the formula's application in fields like spillways, weirs, ship design, and hydraulic jumps, helping users interpret what the number means for their specific scenario.
How to use the Omni Calculator Froude Number Calculator
- 1
Enter the flow velocity (u) in meters per second or other supported units
- 2
Input the hydraulic depth (Hd) by providing either the cross-sectional area and channel width, or use the predefined hydraulic radius options
- 3
Specify the acceleration due to gravity (g) or accept the default 9.81 m/s²
- 4
View the calculated Froude number (Fr) and its classification as subcritical (Fr < 1), critical (Fr = 1), or supercritical (Fr > 1)
Best for
Engineers, students, and practitioners in hydraulics and civil engineering who need to quickly classify open-channel flow regimes for design or analysis tasks such as spillways, weirs, or ship hulls.
Limitations
- Results assume steady, uniform flow and may not account for complex turbulence or sediment effects
- Hydraulic depth calculation depends on accurate channel geometry input; irregular shapes may require manual adjustment
- The tool provides a dimensionless ratio and classification but does not compute associated flow depths or discharge rates
Froude Number Calculator FAQ
- Can this calculator handle non-rectangular channels?
- Yes, the tool uses hydraulic depth defined as cross-sectional area divided by width, so it works for any channel shape as long as those two values are provided.
- What does a Froude number greater than 1 indicate about the flow?
- A Froude number greater than 1 indicates supercritical flow, meaning the flow velocity exceeds the wave propagation speed and the flow is typically fast and shallow.
- Is the gravitational acceleration value adjustable?
- Yes, users can input a custom gravitational acceleration value or use the default 9.81 m/s².
- Does the tool explain the difference between subcritical and supercritical flow?
- The calculator classifies the result as subcritical (Fr < 1), critical (Fr = 1), or supercritical (Fr > 1), and the accompanying description references applications like hydraulic jumps and ship design to illustrate the practical meaning.
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