🌊 Gradually Varied Open Channel Flow (Standard Step)
Model gradually varied open channel flow profiles (M1, M2, M3, S1, S2, S3 backwater curves): critical depth (yc), normal depth (yn), Froude number, and reach distance by Standard Step Method.
⚡ Fortran 90 Engine
Double Precision (IEEE 754)
✓ ISO / ASME Validated
📊 Solver Telemetry
● ACTIVE
👁️ Consultations
24
⚡ Calculs faits
21
💾 Téléchargements
125
📦 Code Fortran
4.5 KB
📅 Mise en service
Jun 2026
⏱️ Latence
< 1 ms
🌊 Open Channel Longitudinal Profile & Water Surface Curve
Real-time visual simulation: Bed slope $S_0$, normal depth $y_n$, critical depth $y_c$, and backwater surface $y(x)$📝 Configuration & Presets
Gradually Varied Flow Dynamic Equation:
• Governing ODE: dy / dx = (S₀ − Sf) / (1 − Fr²)
• Friction Slope: Sf = n² · V² / Rh4/3
• Specific Energy: E = y + V² / (2 g) [meters]
• Standard Step Reach Distance: Δx = (E₂ − E₁) / (S₀ − S̄f).
• Governing ODE: dy / dx = (S₀ − Sf) / (1 − Fr²)
• Friction Slope: Sf = n² · V² / Rh4/3
• Specific Energy: E = y + V² / (2 g) [meters]
• Standard Step Reach Distance: Δx = (E₂ − E₁) / (S₀ − S̄f).
📊 Hydraulics Results
Configure inputs and click Compute to view results.
📘 Calculation Methodology & Open Channel Hydraulics
Backwater Curve Classification
Profiles are categorized by slope (Mild $M$, Steep $S$, Critical $C$) and zone ($1: y > y_n > y_c$, $2: y_n > y > y_c$, $3: y_c > y$).
Standard Step Integration Method
Solves specific energy balance across reach increments $\Delta x$, accounting for boundary friction dissipation and non-uniform velocity distribution.
Key Engineering Assumptions
- Manning equation for reach-averaged friction slope $\bar{S}_f$.
- Prismatic channel geometry with steady one-dimensional flow.
- Applicable to river dam impoundments, canal drops, spillway chutes, and drainage systems.