Bernoulli's Principle: Velocity & Pressure

Interactive Bernoulli's Principle & Venturi Effect Simulation

An interactive fluid dynamics simulation visualizing the relationship between pipe geometry, fluid velocity, and pressure. Users can dynamically adjust the entrance, throat, and exit radii of a horizontal pipe to observe the Continuity Equation (A_1v_1 = A_2v_2) and Bernoulli's Principle in real-time. As the pipe narrows, the simulation demonstrates how fluid velocity increases quadratically to conserve mass, resulting in a corresponding pressure drop (the Venturi effect).

Key features include live piezometer standpipes visualizing pressure head, a tracked fluid parcel with a dynamic velocity vector, dual Cartesian graphs mapping velocity and pressure gradients along the pipe, and threshold warnings for fluid cavitation. Ideal for AP Physics, college engineering, and fluid mechanics education.