Understanding pressure in fluids

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SUMMARY

The discussion focuses on the concept of pressure in fluids, specifically how it is defined and interpreted in relation to particle behavior. Pressure is the force exerted by fluid particles on a given area, and it increases with depth due to the weight of the fluid above, as described by the equation: pressure below = pressure above + ρgh, where ρ is fluid density and g is gravitational acceleration. The conversation clarifies that in a stationary liquid, while particles are in constant motion, the overall structure of a small volume of fluid remains unchanged, allowing for the concept of pressure to be applied effectively.

PREREQUISITES
  • Understanding of basic fluid mechanics concepts
  • Familiarity with the equation of hydrostatic pressure
  • Knowledge of particle behavior in liquids and gases
  • Basic grasp of gravitational effects on fluids
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  • Study the hydrostatic pressure equation in detail
  • Explore the concept of fluid equilibrium and its implications
  • Learn about the behavior of particles in different states of matter
  • Investigate applications of pressure in engineering and physics
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Students of physics, engineers working with fluid dynamics, and anyone interested in understanding the principles of pressure in fluids.

aaaa202
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Okay so I already asked a bit about this, but I think I'm going to need to post several questions on this to understand it, so here goes:

I understand the definition of pressure, just not how it is applied to fluids. How is pressure in a fluid to be interpreted. Is it the force that the particles that make up the fluid exert on an area in the fluid? I think that is correctly understand, but then I just don't understand why the pressure gets bigger the farther you are down a fluid. Why would the total force that the nearby particles exert on your area (we could imagine a thin disk in the fluid) depend on how many particles that are above you?
And further I don't even get how you can say things like this (which my book often does): Every little cube inside the fluid is at rest etc etc. Indeed the fluid is never at rest since, the particles that make it up are whirling around! What am I getting wrong?
 
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hi aaaa202! :smile:

And further I don't even get how you can say things like this (which my book often does): Every little cube inside the fluid is at rest etc etc. Indeed the fluid is never at rest since, the particles that make it up are whirling around! What am I getting wrong?

no, in a stationary liquid, the particles ain't goin' nowhere

they bump up against other particles, and transfer energy to them, but that's it …

the cube stays as it is :smile:

(in a flowing liquid, the cube moves and changes shape slightly, but the particles that make it up stay inside it)

(in a gas, I'm not so sure :redface:)
aaaa202 said:
How is pressure in a fluid to be interpreted. Is it the force that the particles that make up the fluid exert on an area in the fluid?

yes
… I just don't understand why the pressure gets bigger the farther you are down a fluid. Why would the total force that the nearby particles exert on your area (we could imagine a thin disk in the fluid) depend on how many particles that are above you?

it only gets bigger if there's gravity …

look at a a thick disc …

it's in equilibrium, so the force upward (from below) must equal the force downward (from above) plus the weight of the disc! …

ie pressure below = pressure above + ρgh :wink:
 

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