Understanding Bernoulli's Principle

Bernoulli's principle states that in a steady flow of an incompressible, non-viscous fluid, the sum of pressure energy, kinetic energy, and potential energy per unit volume remains constant along a streamline.

Mathematically: P + ½ρv² + ρgh = constant

Where:
P = pressure
ρ = density of fluid
v = velocity of fluid
g = acceleration due to gravity
h = height above a reference point

This principle explains that as the velocity of a fluid increases, its pressure decreases, and vice versa.