Venturi Principle: Is p1=p3 and v1=v3?

Click For Summary
In the context of the Venturi Principle, if viscosity is negligible and the cross-sectional areas are equal, then p1 equals p3 and v1 equals v3. However, the diagram does not confirm that A1 equals A3, which is crucial for this conclusion. In inviscid flow, the flow characteristics at section 3 cannot be definitively determined without knowing the diameter of that section. It is possible for the flow in section 3 to remain stationary while section 2 continues to flow at v2. Therefore, while mass flow remains constant, the average net flow v3 should match v1 only if the diameters of sections 1 and 3 are the same.
fonz
Messages
151
Reaction score
5
venturi3.gif


Just simply, from the diagram above is p1=p3 and v1=v3?

Thanks
Dan
 
Physics news on Phys.org
If the viscosity is negligible, then yes.
 
If the cross sectional areas are the same and the flow is inviscid, then yes. From the diagram, it isn't certain that A1 = A3 though.
 
cjl said:
If the cross sectional areas are the same and the flow is inviscid, then yes.
If the flow is inviscid, then the inner flow at section 3 can't be determined. With zero viscosity, there's no reason that the flow from section 2 couldn't simply continue with the same diameter as the tube in section 2, flowing at v2 while the surrounding fluid in section 3 isn't moving at all, since there's no interaction between shear boundaries with an inviscid flow. The "average" net flow v3 should be the same as v1 since mass flow is constant, assuming section 3 diameter is the same as section 1 diameter.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Someone who shows interest in science is initially a welcome development. So are fresh ideas from unexpected quarters. In contrast, there is a scientific community that is meticulously organized down to the last detail, allowing little to no external influence. With the invention of social media and other sites on the internet competing for content, unprecedented opportunities have opened up for...

Similar threads

  • · Replies 178 ·
6
Replies
178
Views
8K
  • · Replies 7 ·
Replies
7
Views
1K
Replies
1
Views
700
Replies
0
Views
2K
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
16
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
1
Views
4K