Hydraulic Radius Calculator

About the Hydraulic Radius Calculator

The Hydraulic Radius Calculator is a free online tool designed to compute the hydraulic radius (R_h) for open channels and pipe flow. By entering the cross-sectional area and wetted perimeter, this calculator provides a key parameter used in fluid dynamics formulas such as Manning's equation, Darcy-Weisbach, and other hydraulic calculations. It is ideal for engineers, students, and fluid mechanics professionals.

What You Can Calculate

• Hydraulic Radius (R_h): Represents the ratio of cross-sectional flow area to wetted perimeter, measured in meters (m).
• Open Channel Flow Characteristics: Use R_h to estimate velocity, flow rate, and friction losses in rivers, canals, and drainage channels.
• Pipe Flow Analysis: Evaluate flow performance and friction losses in circular and non-circular conduits.
• Input for Hydraulic Formulas: R_h is essential for Manning, Darcy-Weisbach, and other fluid mechanics calculations.

Formulas Used in the Calculator

The calculator uses the standard hydraulic radius formula:

• R_h = A / P
• where:
• A = cross-sectional area of flow (m²)
• P = wetted perimeter (m)

This provides the hydraulic radius in meters, suitable for use in a wide range of fluid mechanics applications.

How to Use the Calculator

1. Enter the cross-sectional area (A) and select the appropriate unit (m², cm², mm²).
2. Enter the wetted perimeter (P) and select the corresponding unit (m, cm, mm).
3. The calculator instantly displays the hydraulic radius (R_h) in meters (m).

Applications of Hydraulic Radius Calculation

Calculating the hydraulic radius is crucial for open channel design, pipe flow analysis, and water resource management. Engineers use R_h to predict flow velocity, design efficient channels and pipes, optimize irrigation and drainage systems, and reduce friction losses in hydraulic networks.