How are velocity and pressure related in Bernoulli's equation?

  • Thread starter Thread starter senchamecad
  • Start date Start date
  • Tags Tags
    Pressure Velocity
Click For Summary
SUMMARY

In the context of Bernoulli's equation, velocity and pressure are inversely proportional. The equation P + 1/2pv² + pgh = constant illustrates this relationship, where P represents pressure, v is velocity, p is fluid density, and h is height. As velocity increases, the pressure decreases, confirming the inverse relationship. This principle is essential for understanding fluid dynamics and the behavior of fluids in motion.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Basic knowledge of fluid dynamics
  • Familiarity with concepts of pressure and velocity
  • Knowledge of force and acceleration relationships
NEXT STEPS
  • Study the derivation of Bernoulli's equation in fluid mechanics
  • Explore applications of Bernoulli's principle in engineering
  • Learn about the implications of fluid velocity on pressure in various systems
  • Investigate real-world examples of fluid flow and pressure changes
USEFUL FOR

Students and professionals in physics, engineering, and fluid dynamics who seek to understand the relationship between velocity and pressure in fluid systems.

senchamecad
Messages
1
Reaction score
0
can you pls tell how velocity and pressure both are inversly proportional with each other as both of them are needed to act force
 
Physics news on Phys.org
Lets take a general case.
P=F/A and F=ma.

So we know pressure is directly proportional to force and force is directly proportional to acceleration. Acceleration is the first derivative of Velocity, which means the higher the rate of change of velocity the higher the acceleration. So i don't think they are inversely porportinal. Sorry, but that's what seems logical to me. I do not think they are inversely proportional. Post the whole problem here, and that might help you out.
 
Hold on i just remembered. Are you talking about this in context of Bernoulli's equation? If so then yes they are inversely proportional.

P + 1/2pv^2+pgh=constant.

Try working around with the equation above and you'll get your answer.
 

Similar threads

Clarifying the Definition Total/Stagnation Pressure (p₀) in Bernoulli'
  • · Replies 2 ·
Replies
2
Views
1K
What's the pressure long before the fluid exits a pipe?
  • · Replies 13 ·
Replies
13
Views
2K
How to calculate the velocity of water streaming into the boat?
  • · Replies 19 ·
Replies
19
Views
1K
How does a difference in air pressure induce a force?
  • · Replies 15 ·
Replies
15
Views
2K
Bernoulli’s Equation and External Forces
  • · Replies 4 ·
Replies
4
Views
2K
Bernoulli equation / fluid flow / finding height
  • · Replies 6 ·
Replies
6
Views
3K
What does atmospheric pressure have to do with the gauge pressure?
  • · Replies 3 ·
Replies
3
Views
2K
What is the relationship between pressure and flow rate?
  • · Replies 8 ·
Replies
8
Views
4K
Sticky card Application of Bernoulli / Pressure incorrect?
  • · Replies 4 ·
Replies
4
Views
1K
How far will the bottom gate of a reservoir open?
  • · Replies 56 ·
2
Replies
56
Views
4K