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Bernoulli principle

Narrow the pipe and see the flow speed rise as the pressure drops.

A₁v₁ = A₂v₂ p + ½ρv² = constantSenior high physics
Blue: water particles; the liquid columns show the static pressure trend
t = 0.00 s
Speed
Outlet speed4.00m/s
Volume flow rate10.0L/s
Inlet−outlet pressure6.00kPa

Pressure difference vs. outlet area

21.99.8-2.315.026.337.548.860.0p₁−p₂ (kPa)A₂ (cm²)

Positive values mean the inlet static pressure is higher than at the outlet; inlet conditions stay at the current settings.

Think about it

With the inlet conditions unchanged, how does the outlet speed change if the outlet cross-sectional area is halved?

Model assumptionsIdeal incompressible water · Steady flow · Horizontal pipe · ρ = 1000 kg/m³ · Viscosity and friction losses neglected

Data log

Set the parameters and click “Record data”. Record several rows with different parameters to plot their relationship and fit a straight line; pause and record at different times to study how a reading changes with time.

How to use the lab

  1. Choose an experimentBrowse the catalog on the left by level or topic, or search for a concept.
  2. Change a parameterDrag a slider or type a value in range. The experiment restarts from its initial state right away.
  3. Slow down and observePause, change the speed, drag to look from another angle in 3D, and use the readings and graph to understand what changes.
  4. Test your ideasRead the explanation and the model assumptions, then answer the question under “Think about it”.