Fluid Hydraulics
Hydraulic Radius Simulator
Analyze hydraulic radius (Rh) and wetted boundary parameters. Optimize rectangular open channels and pipe geometry to minimize boundary friction and maximize volumetric flow rate.
Optimal Radius
0.892 m
Circular standard
Channel Efficiency
93.4%
Frictional efficiency
Feasibility Check
Feasible
P² ≥ 8A satisfied
Parameters
Channel Presets
Area sweep sweep
Hydraulics Equations
Hydraulic Radius
Rh = A / P
Ideal Circular Pipe Rh (Full)
Rh,max = 1/2 * sqrt(A / π)
Feasibility Condition (Rectangle)
P² ≥ 8A
The hydraulic radius represents the ratio of the flow cross-sectional area to its wetted boundary perimeter.
Minimizing wetted perimeter reduces flow resistance, boosting hydraulic efficiency.
Channel Cross-Section Boundary
Hydraulic Radius (Rh)
0.833m
Shape Efficiency
93.4%
Ideal Circular Rh
0.892m
Rectangular Fit
Valid
Fits a real rectangle
Hydraulic Radius vs Flow Area
Radius & Efficiency Map
| Area A (m²) | Hydraulic Radius (m) | Ideal circular Rh (m) | Efficiency (%) |
|---|---|---|---|
| 5 | 0.417 | 0.631 | 66.1 |
| 10 | 0.833 | 0.892 | 93.4 |
| 15 | 1.250 | 1.093 | 100.0 |
| 20 | 1.667 | 1.262 | 100.0 |
| 25 | 2.083 | 1.410 | 100.0 |
| 30 | 2.500 | 1.545 | 100.0 |
| 35 | 2.917 | 1.669 | 100.0 |
| 40 | 3.333 | 1.784 | 100.0 |
| 45 | 3.750 | 1.892 | 100.0 |