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Why does velocity increase when water flowing in broader pipe enters a narrow pipe?

in Chapter2:Mechanical Properties of Fluids by Expert (11.5k points) | 53 views

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When a tube narrows, the same volume occupies a greater length, as schematically shown in Fig.  A1 is the cross section of the broader pipe and that of narrower pipe is A2

By the equation of continuity, v2, =(A1/A2)v1

image

Fig. Speed of fluid increases as it enters a narrower pipe

Since A1/A> v2 > v1

For the same volume to pass points 1 and 2 in a given time, the speed must be greater at point 2.

The process is exactly reversible. If the fluid flows in the opposite direction, its speed decreases when the tube widens

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