physics / Fields & Flow / free

Fluid Dynamics

See how a narrowing pipe speeds up an ideal flow and lowers its pressure.

Follow the mechanism1 / 3

The pipe narrows. An incompressible fluid must pass the same volume each second through a smaller area.

incompressible flowA₁v₁ = A₂v₂
wide: A₁ · v₁ = 1.00 unarrow: A₂ = 70% · v₂ = 1.43 uslower v₁faster v₂

Continuity assumes steady, incompressible flow. The dots are spaced evenly in time, so they spread apart where the fluid moves faster. Viscosity, turbulence, and real pressure losses are deliberately left for a deeper model.

pipe area70%
flow speed1.43 u
relative pressure90 p

Widen the pipe and the same flow slows down. Continuity conserves flow rate; it does not say pressure is always uniform.

04 / PRACTICE

Make the idea yours.

0 / 3 checked

Use the model, then answer without looking back. Each check isolates one decision a learner should be able to make after this lesson.

CHECK 1 / 3

What does continuity conserve in steady incompressible flow?