A fluid is in streamline flow across a horizontal pipe of variable area of cross section. For this which of the following statements is correct ?

# A fluid is in streamline flow across a horizontal pipe of variable area of cross section. For this which of the following statements is correct ?

1. A

The velocity is maximum at the narrowest part of the pipe and pressure is maximum at the widest part of the pipe

2. B

The velocity and pressure both are maximum at the narrowest part of the pipe

3. C

The velocity and pressure both are maximum at the widest part of the pipe

4. D

The velocity is minimum at the narrowest part of the pipe and pressure is minimum at the widest part of the pipe

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### Solution:

The pipe's widest section has the most pressure while its thinnest section has the highest velocity.

Av = constant according to the continuity equation.

As a result, velocity is highest at the pipe's narrowest point and lowest at its broadest.

Bernoulli's theorem for a horizontal pipe states that $P+\frac{1}{2}\rho {v}^{2}=cons\mathrm{tan}t.$
As a result, when a fluid flows through a horizontal pipe with a variable cross-sectional area, its velocity is highest and lowest at the narrowest point, and vice versa.

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