Home▸Fluid Dynamics & Aerodynamics▸2D Bernoulli's Principle — Venturi Hill Pipe

⛰️ 2D Bernoulli's Principle — Venturi Hill Pipe

Interactive 2D Bernoulli equation simulator with a sloped Venturi pipe. Watch continuity (A1v1=A2v2) and full Bernoulli P + 1/2 rho v^2 + rho g h drive velocity and pressure as fluid climbs and narrows.

Fluid Dynamics & Aerodynamics2DModerate60 FPS📱 Mobile-adapted💧 Water ⇄ 3D version

How it works

This pipe both narrows and rises to a hill at the same point — a Venturi throat sitting at elevation Δh above the inlet. The continuity equation A₁v₁ = A₂v₂ fixes velocity from cross-section alone, independent of height. The full Bernoulli equation P + ½ρv² + ρgh = const then combines two effects into the pressure drop: the venturi speed-up (−½ρ(v₂²−v₁²)) and the climb (−ρgΔh). Both terms lower pressure at the throat, so raising the hill or tightening the constriction both push pressure down independently.

Set Δh to 0 to isolate the pure venturi effect (flat pipe); raise it to see the hydrostatic term add on top, exactly the way a real elevated pipeline or an aircraft's climbing airspeed indicator must account for both cross-section and altitude.

⚙ Under the hood

Interactive 2D Bernoulli equation simulator with a sloped Venturi pipe. Continuity (A1v1=A2v2) sets velocity from cross-section; the full Bernoulli equation P + 1/2 rho v^2 + rho g h combines the venturi speed-up with a real elevation change to drive the pressure drop. Adjustable flow speed, constriction ratio, hill height and fluid density with animated particles and live pressure gauges.

bernoulliventurifluid dynamicscontinuity equationpressurehydrostatics2D

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install