First slide

Fluid dynamics

Question

An incompressible non-viscous fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity at point A is V, its velocity at point B will be:

Easy

A

2 V
B

V
C

V/2
D

4 V

Solution

$A_{1} v_{1} = A_{2} v_{2}$
$π 4 R^{2} v = π R^{2} v'$

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