NapkinCalc

Physics 4 — Thermo & Fluids

Fluids in motion — Bernoulli

continues from lesson 4 — values defined earlier in the course stay live here

Energy bookkeeping for flow: where a pipe narrows, fluid speeds up and its pressure drops. Continuity sets the speed; Bernoulli prices it in pressure:

v1:=2m/sv_{1} := 2 m/s = 2 m / s speed in the wide section
Aratio=4A_{ratio} = 4 wide-to-narrow area ratio
v2=v1Aratiov_{2} = v_{1} \cdot A_{ratio} = 8 m / s same flow through ¼ the area
dP=12ρw(v22v12)dP = \frac{1}{2} \cdot \rho_{w} \cdot \left(v_{2}^{2} - v_{1}^{2}\right) = 30000 Pa pressure DROP in the narrow section (Pa)

Where next: Physics 5 — where classical physics breaks and the quantum/relativistic rules take over.