Fluid Dynamics & Hydraulics
Research-Grade CFD Pipe Flow Simulator
Analyze fluid shear stress profiles, Lockhart-Martinelli bubbly flow parameters, radial conduction insulation layers, and transient water hammer surges using an iterative Newton-Raphson Colebrook solver.
Flow Regime
Turbulent
Re = 979,240
Friction Factor
0.0135
Darcy-Weisbach f
Outlet Temp.
20.0 °C
Convection thermal rise
Parameters
Parameter Category
Fluid Presets
Flow velocity sweeps
Thermohydraulic Governing Equations
Implicit Colebrook-White
1/f = -2·log10( ε/(3.7D) + 2.51/(Re√f) )
Herschel-Bulkley Velocity profile
u(r) = Vmax · [1 - ((r - r_plug)/(R - r_plug))^((n+1)/n)]
Lockhart-Martinelli Multiplier
ΔP_2φ = Φ_l² · ΔP_liquid
Joukowsky shockwave surge
ΔP_surge = ρ · a · ΔV · min(1, t_crit/t_close)
The friction factor is solved dynamically using an iterative Newton-Raphson Colebrook solver.
Conjugate thermal transport models fluid internal convection combined with radial wall and insulation conduction.
Joukowsky pressure shockwaves are simulated upon stopping the velocity sweeps (emergency valve closure).
Laminar vs Turbulent Boundary Layers & Moody diagram
Pressure Drop
0.5kPa
Reynolds Number
979240
Water Hammer Surge
79.8kPa
L/D Ratio
NaN
Hydraulic Pressure Drop vs Velocity Curve
Velocity Sweep Results
| Velocity (m/s) | Pressure Drop (kPa) |
|---|---|
| 0.5 m/s | 0.0 kPa |
| 2 m/s | 0.5 kPa |
| 3.5 m/s | 1.6 kPa |
| 5 m/s | 3.2 kPa |
| 6.5 m/s | 5.3 kPa |
| 8 m/s | 7.9 kPa |
| 9.5 m/s | 11.1 kPa |
| 11 m/s | 14.9 kPa |
| 12.5 m/s | 19.1 kPa |
| 14 m/s | 24.0 kPa |