9.4 Bernoulli’s Principle Model Visualization

Bernoulli's Principle model - Random Particle Flow

Bernoulli's Principle Model

Random Water Particle Flow Simulation

Flow Properties

2.0
120

Pipe Geometry

1.0
0.5
Pressure Difference
0 Pa
Wide Section Velocity
2.55 m/s
Narrow Section Velocity
10.19 m/s

Bernoulli's Equation

P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂

Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.

In this bernoulli's principle model, water flows through a pipe with a constriction. As the pipe narrows, the fluid velocity increases in the narrow section, causing a pressure drop according to Bernoulli's equation.

The equation demonstrates the conservation of energy in fluid flow, where:

  • P is the fluid pressure
  • ρ is the fluid density (1000 kg/m³ for water)
  • v is the fluid velocity
  • g is gravity (9.81 m/s²)
  • h is the height above a reference point

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