Moody Diagram
Laminar (f=64/Re)
Smooth (Prandtl)
Constant ε/D (Colebrook)
Controls
Chart Overlays
Current Values
Turbulent Flow
Re (inertia/viscosity)
1.00×10⁵
fD (Darcy friction)
0.0198
fF (Fanning = fD/4)
0.00495
ε/D (rel. roughness)
0.001
Equation
Colebrook
Input Parameters
Reynolds Number (Re)
100,000
Relative Roughness (ε/D)
0.001
Flow Regime Classification
Regime
Turbulent
Classification Logic
Re > 4000 → Turbulent
Equation Used
Colebrook-White Equation
1/√f = -2·log₁₀(ε/(3.7D) + 2.51/(Re·√f))
Solution Method
Algorithm
Fixed-point iteration
Initial Guess (Swamee-Jain)
0.01985
Convergence Tolerance
1×10⁻¹⁰ (relative)
Iteration Log
Final Result
Darcy Friction Factor (fD)
0.019829
Fanning Friction Factor (fF)
0.004957
Iterations Required
6
Converged
✓ Yes
Verification
Back-substitution check
LHS = RHS ✓
Residual
2.3×10⁻¹²