Fluid Mechanics — Flow & Pressure

Bernoulli — fast flow means low pressure

continues from lesson 3 — values defined earlier in the course stay live here

ELI5: along a streamline, pressure + motion energy stays constant, so where the fluid speeds up the pressure drops: ΔP = ½·ρ·(v₂² − v₁²). That trade is the secret behind wings, carburettors, and shower curtains that billow inward.

dP_{bernoulli} := 0.5 * \rho _{water} * (v_{2}^2 - v_{1}^2) in kPa

= 30 kPa pressure drop in the fast section = 30 kPa

✓ pass

abs(dP_{bernoulli} - 30 kPa) < 0.1 kPa

speeding up costs pressure

Real-world hook: Bernoulli explains aircraft lift, the lift on a spinning ball, why two trucks get sucked together on the highway, and how a carburettor draws fuel.