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Fluid dynamics

Question

A non-viscous liquid of density 1200kg/m3 flows in a streamline through a pipe of varying cross section, as shown with P and Q as centres, 4×103m2 and 16×103m2 . If the energy velocity at P is 2 m/sec, find the velocity at Q?

                              

Moderate
Solution

Since the law of continuity is obeyed,

a2v2=a1v1

v2=a1v1a2=4×103×216×103

=0.5m/sec=50cm/sec



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