🌊 Bernoulli Flow Lab
Push fluid through a venturi and watch it speed up in the throat (continuity), lose pressure (Bernoulli), and switch between laminar and turbulent flow (Reynolds). Squeeze the throat too hard and you'll see cavitation. Then take on the Flow Challenges. Built for fluid-mechanics & hydraulics students.
Inlet velocity V₁
Throat velocity V₂
Throat pressure p₂
Reynolds (throat)
The physics behind the game
Continuity forces the fluid faster through the narrow throat; Bernoulli's equation then trades that kinetic energy for a pressure drop:
A = πD²/4 • V = Q/A • p₂ = p₁ + ½ρ(V₁² − V₂²) • Re = ρV₂D₂/μ
Flow is laminar for Re < 2300, transitional up to ~4000, and turbulent above. If the throat's absolute pressure falls below the fluid's vapour pressure, the liquid boils locally — cavitation — the effect that erodes pumps, valves and propellers. The model assumes steady, incompressible, ideal flow (losses neglected), so treat the numbers as teaching illustrations rather than a calibrated design.