Answer:
As you found out in the previous part, Bernoulli's equation tells us that a fluid element that flows through a flow tube with decreasing cross section moves toward a region of lower pressure. Physically, the pressure drop experienced by the fluid element between points 1 and 2 (as shown in the attached image) acts on the fluid element as a net force that causes the fluid to __________
<em>It causes the fluid to increase in speed</em>
Explanation:
Bernoulli's equation determines the pressure at different points in a pipe. The Bernoulli's equation can be represented below;
+ ½ ρ = + ½ρ
Where is the pressure at point 1;
ρ is the density of the fluid;
is the pressure at point 2;
are the velocities at points 1 and 2 respectively.
<em>Since the flow rate of the fluid is uniform across the pipe the behavior of the speed of flow across the pipe can be determined using the equation of flow</em> <em>rate;</em>
where Q is the flow rate, A is the cross-sectional area and v is the velocity at both ends.
<em> Since the flow rate Q is the same at both ends, an increase in the area results in the corresponding decrease in the velocity in order to balance the flow rate across the pipe.</em>
The net force causes an increase in the speed of the fluid at point 2. this is because the area of the pipe reduced at point 2 and it causes an increase in speed to normalize with the flow rate of the fluid