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Communicating vessels

Same liquid at rest → level surfaces; teapot & lock links.

Pressure (junior)Solid, liquid, atmospheric pressure and fluids.

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Communicating vessels

Communicating vessels: open tops, linked bottoms. Same liquid at rest → level free surfaces from equal bottom pressure (p = ρgh). Used in teapots, gauges, and locks — contrast with a closed hydraulic press.

Memory cue: open tops · linked bottoms · same liquid → level · ρ₁h₁ = ρ₂h₂ if different.

Key formulas

  • p = ρgh
  • same liquid at rest → equal levels

How to use

  1. Read the Related knowledge map.
  2. Change fill, nudge an imbalance, then equalize.
  3. Link to teapots, gauges, and canal locks.

Read next

Related knowledge

Communicating vessels: open at the top, linked at the bottom. Same liquid at rest → free surfaces stay level.

Mind map

1. Definition

Containers that are open at the top and connected at the bottom are called communicating vessels.

2. Feature

With the same liquid and no flow, the free surfaces stay at the same horizontal level.

3. Why levels match

A thin liquid slab at the bottom feels equal pressure from both sides at rest. With p = ρgh and the same density, the column heights match — so the free surfaces are level.

  • p = ρghEqual pressures ⇒ equal h for the same liquid.

4. Applications

  • Teapot: spout and body form communicating vessels.
  • Boiler sight glass shows the water level inside.
  • Water towers feed homes via level equilibration.
  • Sink P-trap holds water against sewer gas.
  • Road culverts drain both sides of a road.
  • Canal locks (e.g. Three Gorges) raise or lower ships past a dam.

5. Pitfalls

  • Equal levels need the same liquid at rest; different densities obey ρ₁h₁ = ρ₂h₂.
  • Do not confuse with a hydraulic press: open leveling vs closed force multiplication.

Applications

  • Teapots, canal locks, and water networks use communicating-vessel leveling.
  • Spirit levels and boiler gauges are everyday applications.

FAQ

Why do the levels match?

At rest, bottom pressures match; same density implies equal heights from p = ρgh.

Is this the same as a hydraulic press?

No. Open vessels level out; a closed hydraulic press multiplies force by area ratio.

What if the liquids differ in density?

At rest you still get ρ₁h₁ = ρ₂h₂; surface heights need not match.

Must both sides hold the same liquid?

Same liquid → equal levels; different liquids obey ρ₁h₁ = ρ₂h₂.

How is this different from a hydraulic press?

Open vessels level out; a closed press multiplies force.

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