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Q. Water is flowing in a pipe of uniform corss section under constant pressure. At some place the pipe becomes narrow. The pressure of water at this place

Mechanical Properties of Fluids

Solution:

Given, That area of cross section at initial point is more than the final point, From the equation of continuity, we can say that velocity at the final point is more than initial point.
Bernoulli theorem states that $P + dgh +\frac{1}{2} d v ^{2}=$ constant. At final point, the velocity is more, so the pressure will be less. Therefore the pressure decreases,