How does pressure energy influence fluid flow in a tube with varying heights?

AI Thread Summary
Pressure energy plays a crucial role in fluid flow through a tube with varying heights, as it influences the work done on the fluid at different points. At height h1, the work done is represented by P1V1, while at height h2, it is -P2V2, indicating resistance at this point. The negative sign reflects the energy required to overcome gravitational forces acting on the fluid. This resistance is due to the need to perform work against gravity, which affects the fluid's ability to flow smoothly from one height to another. Understanding these dynamics is essential for analyzing fluid behavior in systems with varying elevations.
manimaran1605
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Homework Statement


Consider a tube of uniform cross section, let one end (a) of the tube is at height h1 and other end (b) is at height h2, where h2>h. Now an incompressible fluid passing through the tube the workdone to pass the liquid at end (a) P1V1 and workdone to pass the liquid at end (b) is -P2V2. So the net workdone is P1V1-P2V2= pressure energy, am I right? The negative sign indicate that at point (b) resists the motion of fluid at (b) How? What is the reason it resists the motion of fluid at (b)?
 
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You might have to consider doing work against gravity.
 
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