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Waterfall: Falling-Droplet Drag & Energy Physics (2D)

2D waterfall lab: a representative droplet is integrated with RK4 through gravity plus quadratic air drag, giving a live velocity-vs-time curve that bends toward its analytic terminal velocity and an energy breakdown of the fall.

Fluid Dynamics & Aerodynamics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version
2d-waterfall ↗ Open standalone

This 2D companion strips the 3D waterfall down to the mechanic that actually shapes it: a representative droplet's fall is integrated with RK4 through gravity and quadratic air drag, so its speed climbs toward — and never quite reaches — the analytic terminal velocity set by its own radius, the local gravity and the turbulence multiplier. A live v(t) graph and an energy panel that splits potential energy into kinetic energy at impact versus heat lost to drag make the fall's physics directly readable instead of merely decorative.

⚙ Under the hood

2D waterfall lab with an RK4-integrated droplet, gravity plus quadratic air drag, a live velocity-vs-time graph converging on the analytic terminal velocity, and an energy panel splitting potential energy into kinetic energy and drag-loss heat.

terminal velocitydrag forcerunge-kuttapotential energykinetic energyturbulence

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

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