SESK: Stuff Everyone Should Know · sesk.info/eng-continuity-narrow-pipe
In steady incompressible flow, what happens to speed where a pipe narrows?
The fluid speeds up.
- It speeds up ✔
- It slows down
- It must stop
Why: The same volume must pass each cross-section per second. Since A1v1 = A2v2, a smaller area requires a larger average speed.
Huh, didn't know that: For compressible gas flow, density changes must be included in mass continuity.
The pipe went on a diet and the fluid picked up the pace.
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References
Answer: It speeds up. The same volume must pass each cross-section per second. Since A1v1 = A2v2, a smaller area requires a larger average speed.
- OpenStax University Physics Volume 1, Fluid Dynamics openstax.org/books/university-physics-volume-1/pages/14-5-fluid-dynamics
because the cross-sectional area of the pipe decreases, the velocity must necessarily increase
Checked 2026-10-10.
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