First slide

Fluid dynamics

Question

Water is flowing through a horizontal pipe of non-uniform cross-section. At the extreme narrow portion of the pipe, the water will have

Easy

A

Maximum speed and least pressure
B

Maximum pressure and least speed
C

Both pressure and speed maximum
D

Both pressure and speed least

Solution

According to Bernouli's theorem, more is the velocity less is the pressure less is the velocity and more is the pressure. For horizontal pipe, $P_{2} - P_{1} = \frac{1}{2} ρ ({v_{1}}^{2} - {v_{2}}^{2})$

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