Question

A 7.1 cm diameter horizontal pipe gradually narrows to 5.4 cm . When water flows through this pipe at a certain rate, the gauge pressure in these two sections is 32.5 kPa and 20.6 kPa , respectively. What is the volume rate of flow?

Answer 1

Q=22.6L/s

Step-by-step explanation:

First you must consider the continuity equation at points 1 and 2, which indicates that both flows are of equal value, in this way you get an equation between the two flow rates.

Then you raise the Bernoulli equation taking into account that the height is the same, which makes the term h1-h2 zero.

Using the equations above to calculate one of the speeds.

Finally you find the flow by multiplying the speed by the area.

I attached procedure