A Bernoulli speed-pressure scan varies speed across three rows at fixed height, showing how pressure falls as P + 0.5 * rho * v^2 stays constant along the streamline. The arithmetic is exact only for the stated speeds, pressures, densities, and rows in the ideal steady incompressible, inviscid model. Real flows add viscosity, turbulence, compressibility, pipe geometry, calibration, elevation reference, and measurement uncertainty.
Speed rises only by spending pressure in a checked ideal budget. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Slow section keeps high pressure
At height h=0 m, speed v=2 m/s has kinetic term 4 pascals, so pressure 96 pascals keeps the total at 100 pascals.
96+4+0=100
Faster section spends pressure on speed
At height h=0 m, speed v=4 m/s has kinetic term 16 pascals, so pressure 84 pascals keeps the total at 100 pascals.
84+16+0=100
Fastest section has the lowest pressure
At height h=0 m, speed v=6 m/s has kinetic term 36 pascals, so pressure 64 pascals keeps the total at 100 pascals.