🚿 Pipe Flow

Pressure drop ΔP 1000 Pa Pipe radius R 10 mm Pipe length L 1.0 m Fluid viscosity:

μ (Pa·s) 1.00×10⁻³

Flow rate Q—

Max velocity u_max—

Mean velocity ū—

Reynolds number Re—

● Laminar flow (Re < 2300)

Hagen-Poiseuille, 1839
u(r) = (ΔP / 4μL)(R² − r²)
Q = πR⁴ΔP / (8μL)
Re = ρ·ū·2R / μ (ρ_water = 1000 kg/m³)
Laminar: Re < 2300 | Turbulent: Re > 4000