A1v1=a2v2? pressure and velocity are inversely proportional?

Click For Summary
SUMMARY

The discussion centers on the relationship between pressure and velocity as described by Bernoulli's equation and the Venturi effect. Bernoulli's equation states that pressure decreases as velocity increases, while the Venturi effect indicates that the product of cross-sectional area and velocity remains constant (a1v1 = a2v2). Participants clarify that a larger pipe indeed has greater pressure, resolving any confusion regarding pressure and velocity dynamics in fluid mechanics.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Familiarity with the Venturi effect
  • Basic principles of fluid dynamics
  • Knowledge of pressure and velocity relationships in fluids
NEXT STEPS
  • Study the implications of Bernoulli's equation in real-world applications
  • Explore the mathematical derivation of the Venturi effect
  • Investigate the effects of pipe diameter on fluid flow and pressure
  • Learn about the consequences of pressure changes in medical scenarios, such as brain aneurysms
USEFUL FOR

Students and professionals in engineering, physics, and fluid mechanics, as well as medical professionals interested in the implications of fluid dynamics on human health.

Fizzizist
Messages
5
Reaction score
0
If Bernoulli's equation P + 1/2ρv2 + ρgh = constant, implying that pressure decreases as velocity increases, and the Venturi effect states that a1v1 = a2v, what resolves this apparent contradiction? The velocity slows as the cross sectional area increases, but a narrower pipe would have greater pressure?
 
Physics news on Phys.org
I don't see any contradiction.
 
Fizzizist said:
what resolves this apparent contradiction?
There is no contradiction to resolve.

Fizzizist said:
The velocity slows as the cross sectional area increases, but a narrower pipe would have greater pressure?
You have this backwards. A larger pipe has greater pressure. That is why brain aneurysms are dangerous
 

Similar threads

  • · Replies 43 ·
2
Replies
43
Views
7K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 35 ·
2
Replies
35
Views
4K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 27 ·
Replies
27
Views
6K
  • · Replies 48 ·
2
Replies
48
Views
5K
  • · Replies 3 ·
Replies
3
Views
4K