To demonstrate Bernoulli's theorem with simple illustrations.
The fluid is flowing in the pipe. P1, v1 and h1 are pressure, velocity and height at O. P2, v2 and h2 are pressure, velocity and height at M.
P1 + (1/2) + ρ ν12 + ρgh1 = P2 + (1/2) + ρ ν22 + ρgh2
P + (1/2) + ρ ν2 + ρgh = Constant
This is Bernoulli’s equation. It relates pressure, velocity and height of a fluid.
Bernoulli’s principle: As we move along streamline sum of pressure, kinetic energy per unit volume and potential energy per unit volume remains constant.
From Bernoulli’s equation pressure is inversely proportional to velocity.