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How does increased fluid velocity give rise to low fluid pressure at a point?

Physics Asked on July 23, 2021

Pressure difference is inversely proportional to velocity. But how is it valid at a point?

Can you also include the example when we squeeze a pipe in which water is flowing, the velocity increases? And the pressure too increases, right?

One Answer

Two equations are sufficient to prove this

Firstly equation of continuity A1v1=A2v2 ........A~area v~ velocity

Since you press the pipe its area decreases thereby velocity increases


Next is bernoullis theorum according to which

h$rho$g +1/2$rho$ $v^2$+ $P1$= constant

Since this sum is constant if one increases other has to decrease. If at a point velocity increases than other point then pressure has to decrease as compared to the other point to ensure the sum remains constant

Correct answer by Anusha on July 23, 2021

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